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Alternating Current and Electromagnetic Induction
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Numerical
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A capacitor of capacitance 500 $$\mu$$F is charged completely using a dc supply of 100 V. It is now connected to an indu...
JEE Main 2022 (Online) 29th July Evening Shift
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For the given circuit the current through battery of 6 V just after closing the switch 'S' will be _________ A. ...
JEE Main 2022 (Online) 28th July Evening Shift
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The frequencies at which the current amplitude in an LCR series circuit becomes $$\frac{1}{\sqrt{2}}$$ times its maximum...
JEE Main 2022 (Online) 28th July Morning Shift
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A conducting circular loop is placed in $$X-Y$$ plane in presence of magnetic field $$\overrightarrow{\mathrm{B}}=\left(...
JEE Main 2022 (Online) 27th July Evening Shift
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To light, a $$50 \mathrm{~W}, 100 \mathrm{~V}$$ lamp is connected, in series with a capacitor of capacitance $$\frac{50}...
JEE Main 2022 (Online) 27th July Morning Shift
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In a coil of resistance $$8 \,\Omega$$, the magnetic flux due to an external magnetic field varies with time as $$\phi=\...
JEE Main 2022 (Online) 26th July Evening Shift
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The effective current I in the given circuit at very high frequencies will be ___________ A. ...
JEE Main 2022 (Online) 26th July Morning Shift
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Magnetic flux (in weber) in a closed circuit of resistance 20 $$\Omega$$ varies with time t(s) at $$\phi$$ = 8t2 $$-$$ 9...
JEE Main 2022 (Online) 25th July Evening Shift
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A series LCR circuit with $$R = {{250} \over {11}}\,\Omega $$ and $${X_L} = {{70} \over {11}}\,\Omega $$ is connected ac...
JEE Main 2022 (Online) 30th June Morning Shift
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As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220 V and frequency 50 Hz. T...
JEE Main 2022 (Online) 24th June Morning Shift
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The current in a coil of self inductance 2.0 H is increasing according to I = 2 sin(t2) A. The amount of energy spent du...
JEE Main 2022 (Online) 25th June Morning Shift
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In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 $$\mu$$F and R = 10 $$\Omega...
JEE Main 2022 (Online) 25th June Evening Shift
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A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 $$\Ome...
JEE Main 2022 (Online) 26th June Morning Shift
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A 10 $$\Omega$$, 20 mH coil carrying constant current is connected to a battery of 20 V through a switch. Now after swit...
JEE Main 2022 (Online) 26th June Morning Shift
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A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance R in series (as shown in figure) ...
JEE Main 2022 (Online) 27th June Morning Shift
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A telegraph line of length 100 km has a capacity of 0.01 $$\mu$$F/km and it carries an alternating current at 0.5 kilo c...
JEE Main 2022 (Online) 28th June Morning Shift
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An AC source is connected to an inductance of 100 mH, a capacitance of 100 $$\mu$$F and a resistance of 120 $$\Omega$$ a...
JEE Main 2022 (Online) 28th June Morning Shift
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In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil ...
JEE Main 2022 (Online) 28th June Evening Shift
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An inductor of 0.5 mH, a capacitor of 200 $$\mu$$F and a resistor of 2 $$\Omega$$ are connected in series with a 220 V a...
JEE Main 2022 (Online) 29th June Evening Shift
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The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this l...
JEE Main 2022 (Online) 29th June Morning Shift
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At very high frequencies, the effective impendence of the given circuit will be ________________ $$\Omega$$....
JEE Main 2021 (Online) 31st August Evening Shift
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The electric field in an electromagnetic wave is given by E = (50 NC$$-$$1) sin$$\omega$$ (t $$-$$ x/c)The energy contai...
JEE Main 2021 (Online) 31st August Morning Shift
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An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in ser...
JEE Main 2021 (Online) 27th August Evening Shift
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The alternating current is given by $$i = \left\{ {\sqrt {42} \sin \left( {{{2\pi } \over T}t} \right) + 10} \right\}A$$...
JEE Main 2021 (Online) 27th August Morning Shift
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In the given figure the magnetic flux through the loop increases according to the relation $$\phi$$B(t) = 10t2 + 20t, wh...
JEE Main 2021 (Online) 27th July Evening Shift
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Consider an electrical circuit containing a two way switch 'S'. Initially S is open and then T1 is connected to T2. As t...
JEE Main 2021 (Online) 27th July Morning Shift
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Two circuits are shown in the figure (a) & (b). At a frequency of ____________ rad/s the average power dissipated in...
JEE Main 2021 (Online) 25th July Evening Shift
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An inductor of 10 mH is connected to a 20V battery through a resistor of 10 k$$\Omega$$ and a switch. After a long time,...
JEE Main 2021 (Online) 25th July Morning Shift
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A series LCR circuit of R = 5$$\Omega$$, L = 20 mH and C = 0.5 $$\mu$$F is connected across an AC supply of 250 V, havin...
JEE Main 2021 (Online) 20th July Evening Shift
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In an LCR series circuit, an inductor 30 mH and a resistor 1 $$\Omega$$ are connected to an AC source of angular frequen...
JEE Main 2021 (Online) 20th July Morning Shift
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A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8$$\Omega$$, L = 24 mH and C =...
JEE Main 2021 (Online) 16th March Morning Shift
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In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two fold and ...
JEE Main 2021 (Online) 26th February Morning Shift
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A transmitting station releases waves of wavelength 960 m. A capacitor of 2.56 $$\mu$$F is used in the resonant circuit....
JEE Main 2021 (Online) 25th February Morning Slot
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A coil of inductance 2 H having negligible resistance is connected to a source of supply whose voltage is given by V = 3...
JEE Main 2021 (Online) 25th February Morning Slot
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A series L-C-R circuit is designed to resonate at an angular frequency $$\omega$$0 = 105 rad/s. The circuit draws 16W po...
JEE Main 2021 (Online) 24th February Evening Slot
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A resonance circuit having inductance and resistance 2 $$\times$$ 10$$-$$4 H and 6.28$$\Omega$$ respectively oscillates ...
JEE Main 2021 (Online) 24th February Morning Slot
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A common transistor radio set requires 12 V (D.C.) for its operation. The D.C. source is constructed by using a transfor...
JEE Main 2021 (Online) 24th February Morning Slot
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In a series LR circuit, power of 400W is dissipated from a source of 250 V, 50 Hz. The power factor of the circuit is 0....
JEE Main 2020 (Online) 6th September Evening Slot
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Suppose that intensity of a laser is $${{315} \over \pi }$$ W/m2. The rms electric field, in units of V/m associated wit...
JEE Main 2020 (Online) 6th September Morning Slot
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In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes un...
JEE Main 2020 (Online) 9th January Morning Slot
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A loop ABCDEFA of straight edges has six corner points A(0, 0, 0), B(5, 0, 0), C(5, 5, 0), D (0, 5, 0), E(0, 5, 5) and F...
JEE Main 2020 (Online) 7th January Morning Slot
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MCQ (Single Correct Answer)
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A circuit element $$\mathrm{X}$$ when connected to an a.c. supply of peak voltage $$100 \mathrm{~V}$$ gives a peak curre...
JEE Main 2022 (Online) 29th July Evening Shift
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A coil of inductance 1 H and resistance $$100 \,\Omega$$ is connected to a battery of 6 V. Determine approximately : (a)...
JEE Main 2022 (Online) 29th July Morning Shift
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An alternating emf $$\mathrm{E}=440 \sin 100 \pi \mathrm{t}$$ is applied to a circuit containing an inductance of $$\fra...
JEE Main 2022 (Online) 29th July Morning Shift
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A transformer operating at primary voltage $$8 \,\mathrm{kV}$$ and secondary voltage $$160 \mathrm{~V}$$ serves a load o...
JEE Main 2022 (Online) 28th July Evening Shift
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The equation of current in a purely inductive circuit is $$5 \sin \left(49\, \pi t-30^{\circ}\right)$$. If the inductanc...
JEE Main 2022 (Online) 28th July Morning Shift
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A series LCR circuit has $$\mathrm{L}=0.01\, \mathrm{H}, \mathrm{R}=10\, \Omega$$ and $$\mathrm{C}=1 \mu \mathrm{F}$$ an...
JEE Main 2022 (Online) 27th July Evening Shift
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A direct current of $$4 \mathrm{~A}$$ and an alternating current of peak value $$4 \mathrm{~A}$$ flow through resistance...
JEE Main 2022 (Online) 27th July Morning Shift
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The oscillating magnetic field in a plane electromagnetic wave is given by $$B_{y}=5 \times 10^{-6} \sin 1000 \pi\left(5...
JEE Main 2022 (Online) 26th July Evening Shift
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In a series $$L R$$ circuit $$X_{L}=R$$ and power factor of the circuit is $$P_{1}$$. When capacitor with capacitance $$...
JEE Main 2022 (Online) 26th July Morning Shift
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The magnetic field of a plane electromagnetic wave is given by : $$ \overrightarrow{\mathrm{B}}=2 \times 10^{-8} \sin \l...
JEE Main 2022 (Online) 26th July Morning Shift
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When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works...
JEE Main 2022 (Online) 25th July Evening Shift
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Light wave travelling in air along x-direction is given by $${E_y} = 540\sin \pi \times {10^4}(x - ct)\,V{m^{ - 1}}$$. ...
JEE Main 2022 (Online) 25th July Evening Shift
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The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its centre. The coil is unwound a...
JEE Main 2022 (Online) 25th July Evening Shift
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The rms value of conduction current in a parallel plate capacitor is $$6.9 \,\mu \mathrm{A}$$. The capacity of this capa...
JEE Main 2022 (Online) 25th July Morning Shift
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A small square loop of wire of side $$l$$ is placed inside a large square loop of wire $$\mathrm{L}(\mathrm{L}>>l)$$. Bo...
JEE Main 2022 (Online) 25th July Morning Shift
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To increase the resonant frequency in series LCR circuit,
JEE Main 2022 (Online) 25th July Morning Shift
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In series RLC resonator, if the self inductance and capacitance become double, the new resonant frequency (f2) and new q...
JEE Main 2022 (Online) 30th June Morning Shift
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An expression for oscillating electric field in a plane electromagnetic wave is given as Ez = 300 sin(5$$\pi$$ $$\times$...
JEE Main 2022 (Online) 30th June Morning Shift
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A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnit...
JEE Main 2022 (Online) 24th June Morning Shift
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A resistance of 40 $$\Omega$$ is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by...
JEE Main 2022 (Online) 24th June Morning Shift
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Given below are two statements : Statement I : The reactance of an ac circuit is zero. It is possible that the circuit c...
JEE Main 2022 (Online) 24th June Evening Shift
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The electric field in an electromagnetic wave is given by E = 56.5 sin $$\omega$$(t $$-$$ x/c) NC$$-$$1. Find the intens...
JEE Main 2022 (Online) 25th June Morning Shift
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If wattless current flows in the AC circuit, then the circuit is :
JEE Main 2022 (Online) 25th June Morning Shift
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Match List-I with List-II. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:sol...
JEE Main 2022 (Online) 25th June Morning Shift
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The electromagnetic waves travel in a medium at a speed of 2.0 $$\times$$ 108 m/s. The relative permeability of the medi...
JEE Main 2022 (Online) 25th June Evening Shift
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A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 $$\mu$$F a...
JEE Main 2022 (Online) 25th June Evening Shift
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Two coils of self inductance L1 and L2 are connected in series combination having mutual inductance of the coils as M. T...
JEE Main 2022 (Online) 26th June Evening Shift
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If Electric field intensity of a uniform plane electromagnetic wave is given as $$E = - 301.6\sin (kz - \omega t){\wide...
JEE Main 2022 (Online) 26th June Morning Shift
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The magnetic flux through a coil perpendicular to its plane is varying according to the relation $$\phi = (5{t^3} + 4{t...
JEE Main 2022 (Online) 26th June Morning Shift
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The current flowing through an ac circuit is given by I = 5 sin(120$$\pi$$t)A How long will the current take to reach th...
JEE Main 2022 (Online) 27th June Morning Shift
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Given below are two statements : Statement I : A time varying electric field is a source of changing magnetic field and ...
JEE Main 2022 (Online) 27th June Evening Shift
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If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the...
JEE Main 2022 (Online) 27th June Evening Shift
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An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum mag...
JEE Main 2022 (Online) 28th June Evening Shift
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For a series LCR circuit, I vs $$\omega$$ curve is shown : (a) To the left of $$\omega$$r, the circuit is mainly capacit...
JEE Main 2022 (Online) 29th June Morning Shift
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For the given circuit the current i through the battery when the key in closed and the steady state has been reached is ...
JEE Main 2021 (Online) 1st September Evening Shift
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Statement - I :To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect a...
JEE Main 2021 (Online) 31st August Evening Shift
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In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL = R = XC. Impedance of this ci...
JEE Main 2021 (Online) 31st August Morning Shift
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A small square loop of side 'a' and one turn is placed inside a larger square loop of side b and one turn (b >> a)...
JEE Main 2021 (Online) 31st August Morning Shift
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Electric field in a plane electromagnetic wave is given by E = 50 sin(500x $$-$$ 10 $$\times$$ 1010 t) V/m The velocity ...
JEE Main 2021 (Online) 27th August Morning Shift
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In the given circuit the AC source has $$\omega$$ = 100 rad s-1. Considering the inductor and capacitor to be ideal, wha...
JEE Main 2021 (Online) 26th August Evening Shift
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A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 k$$\Omega$$, an inductor of ind...
JEE Main 2021 (Online) 26th August Morning Shift
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An inductor coil stores 64 J of magnetic field energy and dissipates energy at the rate of 640 W when a current of 8A is...
JEE Main 2021 (Online) 26th August Morning Shift
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A 100$$\Omega$$ resistance, a 0.1 $$\mu$$F capacitor and an inductor are connected in series across a 250 V supply at va...
JEE Main 2021 (Online) 27th July Evening Shift
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A 0.07 H inductor and a 12$$\Omega$$ resistor are connected in series to a 220V, 50 Hz ac source. The approximate curren...
JEE Main 2021 (Online) 27th July Morning Shift
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A 10 $$\Omega$$ resistance is connected across 220V $$-$$ 50 Hz AC supply. The time taken by the current to change from ...
JEE Main 2021 (Online) 25th July Evening Shift
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Match List - I with List - II List - I List - II (a) $$\omega L > {1 \over {\om...
JEE Main 2021 (Online) 22th July Evening Shift
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In a circuit consisting of a capacitance and a generator with alternating emf Eg = Eg0 sin$$\omega$$t, VC and IC are the...
JEE Main 2021 (Online) 22th July Evening Shift
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For a series LCR circuit with R = 100 $$\Omega$$, L = 0.5 mH and C = 0.1 pF connected across 220V$$-$$50 Hz AC supply, t...
JEE Main 2021 (Online) 20th July Evening Shift
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AC voltage V(t) = 20 sin$$\omega$$t of frequency 50 Hz is applied to a parallel plate capacitor. The separation between ...
JEE Main 2021 (Online) 20th July Morning Shift
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The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L ...
JEE Main 2021 (Online) 18th March Evening Shift
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In a series LCR circuit, the inductive reactance (XL) is 10$$\Omega$$ and the capacitive reactance (XC) is 4$$\Omega$$. ...
JEE Main 2021 (Online) 18th March Evening Shift
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An AC source rated 220 V, 50 Hz is connected to a resistor. The time taken by the current to change from its maximum to ...
JEE Main 2021 (Online) 18th March Morning Shift
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In a series LCR resonance circuit, if we change the resistance only, from a lower to higher value :
JEE Main 2021 (Online) 18th March Morning Shift
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What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?
JEE Main 2021 (Online) 17th March Evening Shift
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Match List - I with List - II List - I List - II (a) Phase difference between curr...
JEE Main 2021 (Online) 17th March Evening Shift
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An AC current is given by I = I1 sin$$\omega$$t + I2 cos$$\omega$$t. A hot wire ammeter will give a reading :...
JEE Main 2021 (Online) 17th March Morning Shift
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For the given circuit, comment on the type of transformer used....
JEE Main 2021 (Online) 16th March Evening Shift
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An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitore...
JEE Main 2021 (Online) 16th March Morning Shift
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Find the peak current and resonant frequency of the following circuit (as shown in figure)....
JEE Main 2021 (Online) 26th February Evening Shift
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An alternating current is given by the equation i = i1 sin $$\omega$$t + i2 cos $$\omega$$t. The rms current will be :...
JEE Main 2021 (Online) 26th February Morning Shift
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Match List I with List II. List I List II (a) Rectifier (i) Used either fo...
JEE Main 2021 (Online) 25th February Evening Shift
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An LCR circuit contains resistance of 110$$\Omega$$ and a supply of 220 V at 300 rad/s angular frequency. If only capaci...
JEE Main 2021 (Online) 25th February Evening Shift
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The current (i) at time t = 0 and t = $$\infty $$ respectively for the given circuit is :...
JEE Main 2021 (Online) 25th February Morning Slot
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The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the ...
JEE Main 2021 (Online) 25th February Morning Slot
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Figure shows a circuit that contains four identical resistors with resistance R = 2.0$$\Omega$$, two identical inductors...
JEE Main 2021 (Online) 24th February Evening Slot
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An AC circuit has R= 100 $$\Omega $$, C = 2 $$\mu $$F and L = 80 mH, connected in series. The quality factor of the circ...
JEE Main 2020 (Online) 6th September Morning Slot
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A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then the time at which ...
JEE Main 2020 (Online) 4th September Evening Slot
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Choose the correct option relating wave lengths of different parts of electromagnetic wave spectrum:
JEE Main 2020 (Online) 4th September Morning Slot
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The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is $$\overrightarrow E =...
JEE Main 2020 (Online) 3rd September Evening Slot
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A 750 Hz, 20 V (rms) source is connected to a resistance of 100 $$\Omega $$, an inductance of 0.1803 H and a capacitance...
JEE Main 2020 (Online) 3rd September Morning Slot
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The magnetic field of a plane electromagnetic wave is $$\overrightarrow B = 3 \times {10^{ - 8}}\sin \left[ {200\pi \le...
JEE Main 2020 (Online) 3rd September Morning Slot
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An inductance coil has a reactance of 100 $$\Omega $$. When an AC signal of frequency 1000 Hz is applied to the coil, th...
JEE Main 2020 (Online) 2nd September Evening Slot
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In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by $$\widehat k$$ a...
JEE Main 2020 (Online) 2nd September Evening Slot
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A plane electromagnetic wave, has frequency of 2.0 $$ \times $$ 1010 Hz and its energy density is 1.02 $$ \times $$ 10â€“8...
JEE Main 2020 (Online) 2nd September Morning Slot
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In LC circuit the inductance L = 40 mH and capacitance C = 100 $$\mu $$F. If a voltage V(t) = 10sin(314t) is applied to ...
JEE Main 2020 (Online) 9th January Evening Slot
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A shown in the figure, a battery of emf $$\varepsilon $$ is connected to an inductor L and resistance R in series. The s...
JEE Main 2020 (Online) 8th January Evening Slot
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An emf of 20 V is applied at time t = 0 to a circuit containing in series 10 mH inductor and 5 $$\Omega $$ resistor. The...
JEE Main 2020 (Online) 7th January Evening Slot
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A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator havi...
JEE Main 2020 (Online) 7th January Morning Slot
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A long solenoid of radius R carries a time (t) - dependent current I(t)=I0t(1 - t). A ring of radius 2R is placed coaxia...
JEE Main 2020 (Online) 7th January Morning Slot
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Consider a circular coil of wire carrying constant current I, forming a magnetic dipole. The magnetic flux through an in...
JEE Main 2020 (Online) 7th January Morning Slot
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A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in free space. Th...
JEE Main 2019 (Online) 12th April Evening Slot
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Consider the LR circuit shown in the figure. If the switch S is closed at t = 0 then the amount of charge that passes th...
JEE Main 2019 (Online) 12th April Evening Slot
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A coil of self inductance 10 mH and resistance 0.1 $$\Omega $$ is connected through a switch to a battery of internal re...
JEE Main 2019 (Online) 10th April Evening Slot
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A transformer consisting of 300 turns in the primary and 150 turns in the secondary gives output power of 2.2 kW. If the...
JEE Main 2019 (Online) 10th April Morning Slot
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The electric field of a plane electromagnetic wave is given by $$\overrightarrow E = {E_0}\widehat i\cos (kz)cos(\omega...
JEE Main 2019 (Online) 10th April Morning Slot
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A very long solenoid of radius R is carrying current I(t) = kteâ€“at(k > 0), as a function of time (t $$ \ge $$ 0). cou...
JEE Main 2019 (Online) 9th April Evening Slot
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The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting th...
JEE Main 2019 (Online) 9th April Morning Slot
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A circuit connected to an ac source of emf e = e0sin(100t) with t in seconds, gives a phase difference of $$\pi $$/4 bet...
JEE Main 2019 (Online) 8th April Evening Slot
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An alternating voltage v(t) = 220 sin 100 $$\pi $$t volt is applied to a purely resistance load of 50$$\Omega $$ . The t...
JEE Main 2019 (Online) 8th April Morning Slot
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A 20 Henry inductor coil is connected to a 10 ohm resistance in series as shown in figure. The time at which rate of dis...
JEE Main 2019 (Online) 8th April Morning Slot
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In the above circuit, C = $${{\sqrt 3 } \over 2}$$$$\mu $$F, R2 = 20 $$\Omega $$, L = $${{\sqrt 3 } \over {10}}$$ H and ...
JEE Main 2019 (Online) 12th January Evening Slot
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A paramagnetic material has 1028 atoms/m3. Its magnetic susceptibility at temperature 350 K is 2.8 $$ \times $$ 10â€“4. It...
JEE Main 2019 (Online) 12th January Evening Slot
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A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0 msâ€“1, at right angl...
JEE Main 2019 (Online) 12th January Evening Slot
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A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude of the maximum electric field in this electromagn...
JEE Main 2019 (Online) 11th January Evening Slot
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A paramagnetic substance in the form of a cube with sides 1 cm has a magnetic dipole moment of 20 $$ \times $$ 10â€“6 J/ T...
JEE Main 2019 (Online) 11th January Evening Slot
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An electromagnetic wave of intensity 50 Wmâ€“2 enters in a medium of refractive index 'n' without any loss. The ratio of t...
JEE Main 2019 (Online) 11th January Morning Slot
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The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by an expression $$\ov...
JEE Main 2019 (Online) 10th January Evening Slot
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The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10 A to 25 A in 1s, t...
JEE Main 2019 (Online) 10th January Evening Slot
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If the magnetic field of a plane electromagnetic wave is given by (the speed of light = 3 Ã— 108 B = 100 Ã— 10â€“6 sin $$\l...
JEE Main 2019 (Online) 10th January Morning Slot
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A series AC circuit containing an inductor (20 mH), a capacitor (120 $$\mu $$F) and a resistor (60 $$\Omega $$) is drive...
JEE Main 2019 (Online) 9th January Evening Slot
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A power transmission line feeds input power at 2300 V to a srep down transformer with its primary windings having 4000 t...
JEE Main 2019 (Online) 9th January Evening Slot
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A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angu...
JEE Main 2018 (Online) 16th April Morning Slot
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A plane electromagnetic wave of wavelength $$\lambda $$ has an intensity I. It is propagatting along the positive Y-dir...
JEE Main 2018 (Online) 16th April Morning Slot
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A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 t...
JEE Main 2018 (Online) 16th April Morning Slot
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A plane polarized monochromatic EM wave is traveling in vacuum along z direction such that at t = t1 it is found that th...
JEE Main 2018 (Online) 15th April Evening Slot
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At the center of a fixed large circular coil of radius R, a much smaller circular coil of radius r is placed. The two co...
JEE Main 2018 (Online) 15th April Evening Slot
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A copper rod of mass m slides under gravity on two smooth parallel rails, with separation l and set at an angle of $$\th...
JEE Main 2018 (Online) 15th April Evening Slot
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An ideal capacitor of capacitance $$0.2\,\mu F$$ is charged to a potential difference of $$10$$ $$V.$$ The charging batt...
JEE Main 2018 (Online) 15th April Morning Slot
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A monochromatic beam of light has a frequency $$v = {3 \over {2\pi }} \times {10^{12}}Hz$$ and is propagating along the ...
JEE Main 2018 (Online) 15th April Morning Slot
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An EM wave from air enters a medium. The electric fields are $$\overrightarrow {{E_1}} $$ = $${E_{01}}\widehat x\cos \le...
JEE Main 2018 (Offline)
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For an RLC circuit driven with voltage of amplitude vm and frequency $${\omega _0}$$ = $${1 \over {\sqrt {LC} }}$$ the c...
JEE Main 2018 (Offline)
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In an a.c. circuit, the instantaneous e.m.f. and current are given by e = 100 sin 30 t i = 20 sin $$\left( {30t - {\pi ...
JEE Main 2018 (Offline)
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The electric field component of a monochromatic radiation is given by $$\overrightarrow E $$ = 2 E0 $$\widehat i$$ cos k...
JEE Main 2017 (Online) 9th April Morning Slot
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A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a series LCR circuit. Given that R=5 ...
JEE Main 2017 (Online) 9th April Morning Slot
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A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The ...
JEE Main 2017 (Online) 8th April Morning Slot
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In a coil of resistance 100 $$\Omega $$, a current is induced by changing the magnetic flux through it as shown in the f...
JEE Main 2017 (Offline)
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An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply,...
JEE Main 2016 (Offline)
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Consider an electromagnetic wave propagating in vacuum. Choose the correct statement :
JEE Main 2016 (Online) 10th April Morning Slot
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A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time as ...
JEE Main 2016 (Online) 10th April Morning Slot
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A series LR circuit is connected to a voltage source with V(t) = V0 sin$$\Omega $$t. After very large time, current I(...
JEE Main 2016 (Online) 9th April Morning Slot
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Microwave oven acts on the principle of :
JEE Main 2016 (Online) 9th April Morning Slot
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A red $$LED$$ emits light at $$0.1$$ watt uniformly around it. The amplitude of the electric field of the light at a dis...
JEE Main 2015 (Offline)
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An inductor $$(L=0.03$$ $$H)$$ and a resistor $$\left( {R = 0.15\,k\Omega } \right)$$ are connected in series to a batte...
JEE Main 2015 (Offline)
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An $$LCR$$ circuit is equivalent to a damped pendulum. In an $$LCR$$ circuit the capacitor is charged to $${Q_0}$$ and t...
JEE Main 2015 (Offline)
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Two coaxial solenoids of different radius carry current $$I$$ in the same direction. $$\overrightarrow {{F_1}} $$ be the...
JEE Main 2015 (Offline)
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Match List - $$1$$ (Electromagnetic wave type ) with List - $$2$$ (Its association/application) and select the correct ...
JEE Main 2014 (Offline)
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During the propagation of electromagnetic waves in a medium:
JEE Main 2014 (Offline)
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In the circuit shown here, the point $$'C'$$ is kept connected to point $$'A'$$ till the current flowing through the ci...
JEE Main 2014 (Offline)
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The magnetic field in a travelling electromagnetic wave has a peak value of $$20$$ $$n$$$$T$$. The peak value of electri...
JEE Main 2013 (Offline)
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In an $$LCR$$ circuit as shown below both switches are open initially. Now switch $${S_1}$$ is closed, $${S_2}$$ kept op...
JEE Main 2013 (Offline)
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A metallic rod of length $$'\ell '$$ is tied to a string of length $$2$$$$\ell $$ and made to rotate with angular speed...
JEE Main 2013 (Offline)
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A circular loop of radius $$0.3$$ $$cm$$ lies center of the small loop is on the axis of the bigger loop. The distance b...
JEE Main 2013 (Offline)
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A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. Whe...
AIEEE 2012
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A resistor $$'R'$$ and $$2\mu F$$ capacitor in series is connected through a switch to $$200$$ $$V$$ direct supply. Acro...
AIEEE 2011
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A boat is moving due east in a region where the earth's magnetic fields is $$5.0 \times {10^{ - 5}}$$ $$N{A^{ - 1}}\,{m^...
AIEEE 2011
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A fully charged capacitor $$C$$ with initial charge $${q_0}$$ is connected to a coil of self inductance $$L$$ at $$t=0.$...
AIEEE 2011
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In the circuit shown below, the key $$K$$ is closed at $$t=0.$$ The current through the battery is ...
AIEEE 2010
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A rectangular loop has a sliding connector $$PQ$$ of length $$l$$ and resistance $$R$$ $$\Omega $$ and it is moving with...
AIEEE 2010
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In a series $$LCR$$ circuit $$R = 200\Omega $$ and the voltage and the frequency of the main supply is $$220V$$ and $$50...
AIEEE 2010
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An inductor of inductance $$L=400$$ $$mH$$ and resistors of resistance $${R_1} = 2\Omega $$ and $${R_2} = 2\Omega $$ are...
AIEEE 2009
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Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $$A=$$ $$10\,\,c{m^2}$...
AIEEE 2008
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In an $$a.c.$$ circuit the voltage applied is $$E = {E_0}\,\sin \,\omega t.$$ The resulting current in the circuit is $$...
AIEEE 2007
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An ideal coil of $$10H$$ is connected in series with a resistance of $$5\Omega $$ and a battery of $$5V$$. $$2$$ second ...
AIEEE 2007
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The $$rms$$ value of the electric field of the light coming from the Sun is $$720$$ $$N/C.$$ The average total energy de...
AIEEE 2006
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An inductor $$(L=100$$ $$mH)$$, a resistor $$\left( {R = 100\,\Omega } \right)$$ and a battery $$\left( {E = 100V} \righ...
AIEEE 2006
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The flux linked with a coil at any instant $$'t'$$ is given by $$\phi = 10{t^2} - 50t + 250$$ The induced $$emf$$ at ...
AIEEE 2006
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In a series resonant $$LCR$$ circuit, the voltage across $$R$$ is $$100$$ volts and $$R = 1\,k\Omega $$ with $$C = 2\mu ...
AIEEE 2006
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In an $$AC$$ generator, a coil with $$N$$ turns, all of the same area $$A$$ and total resistance $$R,$$ rotates with fre...
AIEEE 2006
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Which of the following units denotes the dimension $${{M{L^2}} \over {{Q^2}}}$$, where $$Q$$ denotes the electric charge...
AIEEE 2006
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One conducting $$U$$ tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes...
AIEEE 2005
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A coil of inductance $$300$$ $$mH$$ and resistance $$2\,\Omega $$ is connected to a source of voltage $$2$$ $$V$$. The c...
AIEEE 2005
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A circuit has a resistance of $$12$$ $$ohm$$ and an impedance of $$15$$ $$ohm$$. The power factor of the circuit will be...
AIEEE 2005
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The phase difference between the alternating current and $$emf$$ is $${\pi \over 2}.$$ Which of the following cannot be...
AIEEE 2005
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The self inductance of the motor of an electric fan is $$10$$ $$H$$. In order to impart maximum power at $$50$$ $$Hz$$, ...
AIEEE 2005
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A metal conductor of length $$1$$ $$m$$ rotates vertically about one of its ends at angular velocity $$5$$ radians per ...
AIEEE 2004
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In a $$LCR$$ circuit capacitance is changed from $$C$$ to $$2$$ $$C$$. For the resonant frequency to remain unchaged, th...
AIEEE 2004
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In a uniform magnetic field of induction $$B$$ a wire in the form of a semicircle of radius $$r$$ rotates about the diam...
AIEEE 2004
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A coil having $$n$$ turns and resistance $$R\Omega $$ is connected with a galvanometer of resistance $$4R\Omega .$$ This...
AIEEE 2004
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Alternating current can not be measured by $$D.C.$$ ammeter because
AIEEE 2004
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In an $$LCR$$ series $$a.c.$$ circuit, the voltage across each of the components, $$L,C$$ and $$R$$ is $$50V$$. The volt...
AIEEE 2004
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The core of any transformer is laminated so as to
AIEEE 2003
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In an oscillating $$LC$$ circuit the maximum charge on the capacitor is $$Q$$. The charge on the capacitor when the ener...
AIEEE 2003
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When the current changes from $$ + 2A$$ to $$-2A$$ in $$0.05$$ second, an $$e.m.f.$$ of $$8$$ $$V$$ is inducted in a coi...
AIEEE 2003
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Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon
AIEEE 2003
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Which of the following are not electromagnetic waves?
AIEEE 2002
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The inductance between $$A$$ and $$D$$ is ...
AIEEE 2002
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A conducting square loop of side $$L$$ and resistance $$R$$ moves in its plane with a uniform velocity $$v$$ perpendicul...
AIEEE 2002
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In a transformer, number of turns in the primary coil are $$140$$ and that in the secondary coil are $$280.$$ If current...
AIEEE 2002
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The power factor of $$AC$$ circuit having resistance $$(R)$$ and inductance $$(L)$$ connected in series and an angular v...
AIEEE 2002
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