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Numerical

JEE Main 2024 (Online) 9th April Evening Shift
A capacitor of reactance $$4 \sqrt{3} \Omega$$ and a resistor of resistance $$4 \Omega$$ are connected in series with an ac source of peak value $$8 \...
JEE Main 2024 (Online) 9th April Morning Shift
When a coil is connected across a $$20 \mathrm{~V}$$ dc supply, it draws a current of $$5 \mathrm{~A}$$. When it is connected across $$20 \mathrm{~V},...
JEE Main 2024 (Online) 8th April Evening Shift
An alternating emf $$\mathrm{E}=110 \sqrt{2} \sin 100 \mathrm{t}$$ volt is applied to a capacitor of $$2 \mu \mathrm{F}$$, the rms value of current in...
JEE Main 2024 (Online) 6th April Evening Shift
For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is $$2.5 \mathrm{~nF}$$. If resistance of ...
JEE Main 2024 (Online) 6th April Morning Shift
When a $$d c$$ voltage of $$100 \mathrm{~V}$$ is applied to an inductor, a $$d c$$ current of $$5 \mathrm{~A}$$ flows through it. When an ac voltage o...
JEE Main 2024 (Online) 5th April Morning Shift
An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of $$20 \mu \mathrm{F}$$ is __________ V. ...
JEE Main 2024 (Online) 4th April Morning Shift
A alternating current at any instant is given by $$i=[6+\sqrt{56} \sin (100 \pi t+\pi / 3)]$$ A. The $$r m s$$ value of the current is ______ A....
JEE Main 2024 (Online) 30th January Evening Shift
A power transmission line feeds input power at $$2.3 \mathrm{~kV}$$ to a step down transformer with its primary winding having 3000 turns. The output ...
JEE Main 2024 (Online) 27th January Evening Shift
A series LCR circuit with $$\mathrm{L}=\frac{100}{\pi} \mathrm{mH}, \mathrm{C}=\frac{10^{-3}}{\pi} \mathrm{F}$$ and $$\mathrm{R}=10 \Omega$$, is conne...
JEE Main 2023 (Online) 13th April Morning Shift
In the given figure, an inductor and a resistor are connected in series with a battery of emf E volt. $$\frac{E^{a}}{2 b} \mathrm{~J} / s$$ represents...
JEE Main 2023 (Online) 11th April Evening Shift
A coil has an inductance of $$2 \mathrm{H}$$ and resistance of $$4 ~\Omega$$. A $$10 \mathrm{~V}$$ is applied across the coil. The energy stored in th...
JEE Main 2023 (Online) 8th April Evening Shift
A series combination of resistor of resistance $$100 ~\Omega$$, inductor of inductance $$1 ~\mathrm{H}$$ and capacitor of capacitance $$6.25 ~\mu \mat...
JEE Main 2023 (Online) 8th April Morning Shift
An oscillating LC circuit consists of a $$75 ~\mathrm{mH}$$ inductor and a $$1.2 ~\mu \mathrm{F}$$ capacitor. If the maximum charge to the capacitor i...
JEE Main 2023 (Online) 6th April Morning Shift
An ideal transformer with purely resistive load operates at $$12 ~\mathrm{kV}$$ on the primary side. It supplies electrical energy to a number of near...
JEE Main 2023 (Online) 1st February Evening Shift
A square shaped coil of area $$70 \mathrm{~cm}^{2}$$ having 600 turns rotates in a magnetic field of $$0.4 ~\mathrm{wbm}^{-2}$$, about an axis which i...
JEE Main 2023 (Online) 1st February Morning Shift
A series LCR circuit is connected to an ac source of $$220 \mathrm{~V}, 50 \mathrm{~Hz}$$. The circuit contain a resistance $$\mathrm{R}=100 ~\Omega$$...
JEE Main 2023 (Online) 31st January Evening Shift
A series $\mathrm{LCR}$ circuit consists of $\mathrm{R}=80 \Omega, \mathrm{X}_{\mathrm{L}}=100 \Omega$, and $\mathrm{X}_{\mathrm{C}}=40 \Omega$. The i...
JEE Main 2023 (Online) 31st January Morning Shift
An inductor of $$0.5 ~\mathrm{mH}$$, a capacitor of $$20 ~\mu \mathrm{F}$$ and resistance of $$20 ~\Omega$$ are connected in series with a $$220 \math...
JEE Main 2023 (Online) 30th January Evening Shift
In an ac generator, a rectangular coil of 100 turns each having area $14 \times 10^{-2} \mathrm{~m}^{2}$ is rotated at $360 ~\mathrm{rev} / \mathrm{mi...
JEE Main 2023 (Online) 29th January Evening Shift
An inductor of inductance 2 $$\mathrm{\mu H}$$ is connected in series with a resistance, a variable capacitor and an AC source of frequency 7 kHz. The...
JEE Main 2023 (Online) 25th January Evening Shift
A series LCR circuit is connected to an AC source of 220 V, 50 Hz. The circuit contains a resistance R = 80$$\Omega$$, an inductor of inductive reacta...
JEE Main 2023 (Online) 25th January Morning Shift
An LCR series circuit of capacitance 62.5 nF and resistance of 50 $$\Omega$$, is connected to an A.C. source of frequency 2.0 kHz. For maximum value o...
JEE Main 2023 (Online) 24th January Morning Shift
In the circuit shown in the figure, the ratio of the quality factor and the band width is ___________ s. ...
JEE Main 2022 (Online) 29th July Evening Shift
A capacitor of capacitance 500 $$\mu$$F is charged completely using a dc supply of 100 V. It is now connected to an inductor of inductance 50 mH to fo...
JEE Main 2022 (Online) 28th July Morning Shift
The frequencies at which the current amplitude in an LCR series circuit becomes $$\frac{1}{\sqrt{2}}$$ times its maximum value, are $$212\,\mathrm{rad...
JEE Main 2022 (Online) 27th July Morning Shift
To light, a $$50 \mathrm{~W}, 100 \mathrm{~V}$$ lamp is connected, in series with a capacitor of capacitance $$\frac{50}{\pi \sqrt{x}} \mu F$$, with $...
JEE Main 2022 (Online) 26th July Morning Shift
The effective current I in the given circuit at very high frequencies will be ___________ A. ...
JEE Main 2022 (Online) 30th June Morning Shift
A series LCR circuit with $$R = {{250} \over {11}}\,\Omega $$ and $${X_L} = {{70} \over {11}}\,\Omega $$ is connected across a 220 V, 50 Hz supply. Th...
JEE Main 2022 (Online) 29th June Evening Shift
An inductor of 0.5 mH, a capacitor of 200 $$\mu$$F and a resistor of 2 $$\Omega$$ are connected in series with a 220 V ac source. If the current is in...
JEE Main 2022 (Online) 28th June Evening Shift
In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil is $${1 \over {K\pi }}$$ mH. T...
JEE Main 2022 (Online) 28th June Morning Shift
An AC source is connected to an inductance of 100 mH, a capacitance of 100 $$\mu$$F and a resistance of 120 $$\Omega$$ as shown in figure. The time in...
JEE Main 2022 (Online) 28th June Morning Shift
A telegraph line of length 100 km has a capacity of 0.01 $$\mu$$F/km and it carries an alternating current at 0.5 kilo cycle per second. If minimum im...
JEE Main 2022 (Online) 27th June Morning Shift
A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance R in series (as shown in figure) to run the lamp at its peak br...
JEE Main 2022 (Online) 26th June Morning Shift
A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 $$\Omega$$, at resonance in the circ...
JEE Main 2022 (Online) 25th June Evening Shift
In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 $$\mu$$F and R = 10 $$\Omega$$ respectively. They are conn...
JEE Main 2022 (Online) 24th June Morning Shift
As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220 V and frequency 50 Hz. The instantaneous voltage of th...
JEE Main 2021 (Online) 31st August Evening Shift
At very high frequencies, the effective impendence of the given circuit will be ________________ $$\Omega$$....
JEE Main 2021 (Online) 27th August Evening Shift
An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in series such that XC = 2R. The rat...
JEE Main 2021 (Online) 27th August Morning Shift
The alternating current is given by $$i = \left\{ {\sqrt {42} \sin \left( {{{2\pi } \over T}t} \right) + 10} \right\}A$$The r.m.s. value of of this cu...
JEE Main 2021 (Online) 27th July Morning Shift
Consider an electrical circuit containing a two way switch 'S'. Initially S is open and then T1 is connected to T2. As the current in R = 6$$\Omega$$ ...
JEE Main 2021 (Online) 25th July Evening Shift
Two circuits are shown in the figure (a) & (b). At a frequency of ____________ rad/s the average power dissipated in one cycle will be same in bot...
JEE Main 2021 (Online) 25th July Morning Shift
An inductor of 10 mH is connected to a 20V battery through a resistor of 10 k$$\Omega$$ and a switch. After a long time, when maximum current is set u...
JEE Main 2021 (Online) 20th July Evening Shift
A series LCR circuit of R = 5$$\Omega$$, L = 20 mH and C = 0.5 $$\mu$$F is connected across an AC supply of 250 V, having variable frequency. The powe...
JEE Main 2021 (Online) 20th July Morning Shift
In an LCR series circuit, an inductor 30 mH and a resistor 1 $$\Omega$$ are connected to an AC source of angular frequency 300 rad/s. The value of cap...
JEE Main 2021 (Online) 16th March Morning Shift
A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8$$\Omega$$, L = 24 mH and C = 60 $$\mu$$F. The value of pow...
JEE Main 2021 (Online) 26th February Morning Shift
In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two fold and resistance is decreased by two...
JEE Main 2021 (Online) 25th February Morning Shift
A transmitting station releases waves of wavelength 960 m. A capacitor of 2.56 $$\mu$$F is used in the resonant circuit. The self inductance of coil n...
JEE Main 2021 (Online) 24th February Evening Shift
A series L-C-R circuit is designed to resonate at an angular frequency $$\omega$$0 = 105 rad/s. The circuit draws 16W power from 120V source at resona...
JEE Main 2021 (Online) 24th February Morning Shift
A common transistor radio set requires 12 V (D.C.) for its operation. The D.C. source is constructed by using a transformer and a rectifier circuit, w...
JEE Main 2021 (Online) 24th February Morning Shift
A resonance circuit having inductance and resistance 2 $$\times$$ 10$$-$$4 H and 6.28$$\Omega$$ respectively oscillates at 10 MHz frequency. The value...
JEE Main 2020 (Online) 6th September Evening Slot
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 0.8. In order to bring the power...

MCQ (Single Correct Answer)

JEE Main 2024 (Online) 9th April Morning Shift
A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the plates of the capacitor. The glow of the b...
JEE Main 2024 (Online) 8th April Evening Shift
A coil of negligible resistance is connected in series with $$90 \Omega$$ resistor across $$120 \mathrm{~V}, 60 \mathrm{~Hz}$$ supply. A voltmeter rea...
JEE Main 2024 (Online) 8th April Morning Shift
A LCR circuit is at resonance for a capacitor C, inductance L and resistance R. Now the value of resistance is halved keeping all other parameters sam...
JEE Main 2024 (Online) 6th April Morning Shift
Given below are two statements : Statement I : In an LCR series circuit, current is maximum at resonance. Statement II : Current in a purely resistive...
JEE Main 2024 (Online) 5th April Evening Shift
A series LCR circuit is subjected to an ac signal of $$200 \mathrm{~V}, 50 \mathrm{~Hz}$$. If the voltage across the inductor $$(\mathrm{L}=10 \mathrm...
JEE Main 2024 (Online) 5th April Morning Shift
An alternating voltage of amplitude $$40 \mathrm{~V}$$ and frequency $$4 \mathrm{~kHz}$$ is applied directly across the capacitor of $$12 \mu \mathrm{...
JEE Main 2024 (Online) 4th April Evening Shift
Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family...
JEE Main 2024 (Online) 4th April Morning Shift
In an ac circuit, the instantaneous current is zero, when the instantaneous voltage is maximum. In this case, the source may be connected to : A. pure...
JEE Main 2024 (Online) 1st February Morning Shift
A parallel plate capacitor has a capacitance $\mathrm{C}=200~ \mathrm{pF}$. It is connected to $230 \mathrm{~V}$ ac supply with an angular frequency $...
JEE Main 2024 (Online) 1st February Morning Shift
In series LCR circuit, the capacitance is changed from $C$ to $4 C$. To keep the resonance frequency unchanged, the new inductance should be:
JEE Main 2024 (Online) 31st January Evening Shift
An AC voltage $$V=20 \sin 200 \pi t$$ is applied to a series LCR circuit which drives a current $$I=10 \sin \left(200 \pi t+\frac{\pi}{3}\right)$$. Th...
JEE Main 2024 (Online) 30th January Evening Shift
An alternating voltage $$V(t)=220 \sin 100 \pi t$$ volt is applied to a purely resistive load of $$50 \Omega$$. The time taken for the current to rise...
JEE Main 2024 (Online) 30th January Morning Shift
Primary coil of a transformer is connected to $$220 \mathrm{~V}$$ ac. Primary and secondary turns of the transforms are 100 and 10 respectively. Secon...
JEE Main 2024 (Online) 30th January Morning Shift
A series L.R circuit connected with an ac source $$E=(25 \sin 1000 t) V$$ has a power factor of $$\frac{1}{\sqrt{2}}$$. If the source of emf is change...
JEE Main 2024 (Online) 29th January Evening Shift
In an a.c. circuit, voltage and current are given by: $$V=100 \sin (100 t) V$$ and $$I=100 \sin \left(100 t+\frac{\pi}{3}\right) \mathrm{mA}$$ respect...
JEE Main 2024 (Online) 29th January Morning Shift
A capacitor of capacitance $$100 \mu \mathrm{F}$$ is charged to a potential of $$12 \mathrm{~V}$$ and connected to a $$6.4 \mathrm{~mH}$$ inductor to ...
JEE Main 2024 (Online) 27th January Evening Shift
Primary side of a transformer is connected to $$230 \mathrm{~V}, 50 \mathrm{~Hz}$$ supply. Turns ratio of primary to secondary winding is $$10: 1$$. L...
JEE Main 2023 (Online) 13th April Evening Shift
Given below are two statements: Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor. Statement...
JEE Main 2023 (Online) 12th April Morning Shift
Given below are two statements: Statement I : When the frequency of an a.c source in a series LCR circuit increases, the current in the circuit first ...
JEE Main 2023 (Online) 11th April Morning Shift
As per the given graph, choose the correct representation for curve $$\mathrm{A}$$ and curve B. Where $$\mathrm{X}_{\mathrm{C}}=$$ reactance of pure ...
JEE Main 2023 (Online) 10th April Morning Shift
Given below are two statements: Statement I : Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in...
JEE Main 2023 (Online) 6th April Evening Shift
A capacitor of capacitance $$150.0 ~\mu \mathrm{F}$$ is connected to an alternating source of emf given by $$\mathrm{E}=36 \sin (120 \pi \mathrm{t}) \...
JEE Main 2023 (Online) 1st February Morning Shift
Match List - I with List - II : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-...
JEE Main 2023 (Online) 31st January Evening Shift
An alternating voltage source $\mathrm{V}=260 \sin (628 \mathrm{t}$ ) is connected across a pure inductor of $5 \mathrm{mH}$ Inductive reactance in th...
JEE Main 2023 (Online) 31st January Morning Shift
If $$\mathrm{R}, \mathrm{X}_{\mathrm{L}}$$, and $$\mathrm{X}_{\mathrm{C}}$$ represent resistance, inductive reactance and capacitive reactance. Then w...
JEE Main 2023 (Online) 30th January Evening Shift
In the given circuit, rms value of current $\left(I_{\mathrm{rms}}\right)$ through the resistor $R$ is: ...
JEE Main 2023 (Online) 30th January Morning Shift
In a series LR circuit with $$\mathrm{X_L=R}$$, power factor P1. If a capacitor of capacitance C with $$\mathrm{X_C=X_L}$$ is added to the circuit the...
JEE Main 2023 (Online) 29th January Evening Shift
For the given figures, choose the correct options : ...
JEE Main 2023 (Online) 25th January Morning Shift
In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator bec...
JEE Main 2022 (Online) 29th July Evening Shift
A circuit element $$\mathrm{X}$$ when connected to an a.c. supply of peak voltage $$100 \mathrm{~V}$$ gives a peak current of $$5 \mathrm{~A}$$ which ...
JEE Main 2022 (Online) 29th July Morning Shift
An alternating emf $$\mathrm{E}=440 \sin 100 \pi \mathrm{t}$$ is applied to a circuit containing an inductance of $$\frac{\sqrt{2}}{\pi} \mathrm{H}$$....
JEE Main 2022 (Online) 29th July Morning Shift
A coil of inductance 1 H and resistance $$100 \,\Omega$$ is connected to a battery of 6 V. Determine approximately : (a) The time elapsed before the c...
JEE Main 2022 (Online) 28th July Evening Shift
A transformer operating at primary voltage $$8 \,\mathrm{kV}$$ and secondary voltage $$160 \mathrm{~V}$$ serves a load of $$80 \mathrm{~kW}$$. Assumin...
JEE Main 2022 (Online) 28th July Morning Shift
The equation of current in a purely inductive circuit is $$5 \sin \left(49\, \pi t-30^{\circ}\right)$$. If the inductance is $$30 \,\mathrm{mH}$$ then...
JEE Main 2022 (Online) 27th July Evening Shift
A series LCR circuit has $$\mathrm{L}=0.01\, \mathrm{H}, \mathrm{R}=10\, \Omega$$ and $$\mathrm{C}=1 \mu \mathrm{F}$$ and it is connected to ac voltag...
JEE Main 2022 (Online) 27th July Morning Shift
A direct current of $$4 \mathrm{~A}$$ and an alternating current of peak value $$4 \mathrm{~A}$$ flow through resistance of $$3\, \Omega$$ and $$2\,\O...
JEE Main 2022 (Online) 26th July Morning Shift
In a series $$L R$$ circuit $$X_{L}=R$$ and power factor of the circuit is $$P_{1}$$. When capacitor with capacitance $$C$$ such that $$X_{L}=X_{C}$$ ...
JEE Main 2022 (Online) 25th July Evening Shift
When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on :
JEE Main 2022 (Online) 25th July Morning Shift
To increase the resonant frequency in series LCR circuit,
JEE Main 2022 (Online) 30th June Morning Shift
In series RLC resonator, if the self inductance and capacitance become double, the new resonant frequency (f2) and new quality factor (Q2) will be : (...
JEE Main 2022 (Online) 29th June Morning Shift
For a series LCR circuit, I vs $$\omega$$ curve is shown : (a) To the left of $$\omega$$r, the circuit is mainly capacitive. (b) To the left of $$\ome...
JEE Main 2022 (Online) 27th June Evening Shift
If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?
JEE Main 2022 (Online) 27th June Morning Shift
The current flowing through an ac circuit is given by I = 5 sin(120$$\pi$$t)A How long will the current take to reach the peak value starting from zer...
JEE Main 2022 (Online) 25th June Evening Shift
A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 $$\mu$$F and R = 100 $$\Omega$$. The pha...
JEE Main 2022 (Online) 25th June Morning Shift
Match List-I with List-II. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-famil...
JEE Main 2022 (Online) 25th June Morning Shift
If wattless current flows in the AC circuit, then the circuit is :
JEE Main 2022 (Online) 24th June Evening Shift
Given below are two statements : Statement I : The reactance of an ac circuit is zero. It is possible that the circuit contains a capacitor and an ind...
JEE Main 2022 (Online) 24th June Morning Shift
A resistance of 40 $$\Omega$$ is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by the current to change from it...
JEE Main 2021 (Online) 1st September Evening Shift
For the given circuit the current i through the battery when the key in closed and the steady state has been reached is __________....
JEE Main 2021 (Online) 31st August Morning Shift
In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL = R = XC. Impedance of this circuit is :...
JEE Main 2021 (Online) 26th August Evening Shift
In the given circuit the AC source has $$\omega$$ = 100 rad s-1. Considering the inductor and capacitor to be ideal, what will be the current I flowin...
JEE Main 2021 (Online) 26th August Morning Shift
A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 k$$\Omega$$, an inductor of inductive reactance XL = 250 $$\p...
JEE Main 2021 (Online) 27th July Evening Shift
A 100$$\Omega$$ resistance, a 0.1 $$\mu$$F capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate th...
JEE Main 2021 (Online) 27th July Morning Shift
A 0.07 H inductor and a 12$$\Omega$$ resistor are connected in series to a 220V, 50 Hz ac source. The approximate current in the circuit and the phase...
JEE Main 2021 (Online) 25th July Evening Shift
A 10 $$\Omega$$ resistance is connected across 220V $$-$$ 50 Hz AC supply. The time taken by the current to change from its maximum value to the rms v...
JEE Main 2021 (Online) 22th July Evening Shift
In a circuit consisting of a capacitance and a generator with alternating emf Eg = Eg0 sin$$\omega$$t, VC and IC are the voltage and current. Correct ...
JEE Main 2021 (Online) 22th July Evening Shift
Match List - I with List - II List - I List - II (a) $$\omega L > {1 \over {\omega C}}$$ (i) Current ...
JEE Main 2021 (Online) 20th July Evening Shift
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, the phase angle between current...
JEE Main 2021 (Online) 20th July Morning Shift
AC voltage V(t) = 20 sin$$\omega$$t of frequency 50 Hz is applied to a parallel plate capacitor. The separation between the plates is 2 mm and the are...
JEE Main 2021 (Online) 18th March Evening Shift
In a series LCR circuit, the inductive reactance (XL) is 10$$\Omega$$ and the capacitive reactance (XC) is 4$$\Omega$$. The resistance (R) in the circ...
JEE Main 2021 (Online) 18th March Morning Shift
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
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 the rms value is :
JEE Main 2021 (Online) 17th March Evening Shift
Match List - I with List - II List - I List - II (a) Phase difference between current and voltage in a purely re...
JEE Main 2021 (Online) 17th March Evening Shift
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 Morning Shift
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) 16th March Evening Shift
For the given circuit, comment on the type of transformer used....
JEE Main 2021 (Online) 16th March Morning Shift
An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitored by CRO would look close to :...
JEE Main 2021 (Online) 26th February Evening Shift
Find the peak current and resonant frequency of the following circuit (as shown in figure)....
JEE Main 2021 (Online) 26th February Morning Shift
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) 25th February Evening Shift
An LCR circuit contains resistance of 110$$\Omega$$ and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circ...
JEE Main 2021 (Online) 25th February Evening Shift
Match List I with List II. List I List II (a) Rectifier (i) Used either for stepping up or stepping down...
JEE Main 2021 (Online) 25th February Morning Shift
The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of indu...
JEE Main 2021 (Online) 25th February Morning Shift
The current (i) at time t = 0 and t = $$\infty $$ respectively for the given circuit is :...
JEE Main 2020 (Online) 6th September Morning Slot
An AC circuit has R= 100 $$\Omega $$, C = 2 $$\mu $$F and L = 80 mH, connected in series. The quality factor of the circuit is :
JEE Main 2020 (Online) 4th September Evening Slot
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 the energy stored in the induc...
JEE Main 2020 (Online) 3rd September Morning Slot
A 750 Hz, 20 V (rms) source is connected to a resistance of 100 $$\Omega $$, an inductance of 0.1803 H and a capacitance of 10 $$\mu $$F all in series...
JEE Main 2020 (Online) 2nd September Evening Slot
An inductance coil has a reactance of 100 $$\Omega $$. When an AC signal of frequency 1000 Hz is applied to the coil, the applied voltage leads the cu...
JEE Main 2020 (Online) 9th January Evening Slot
In LC circuit the inductance L = 40 mH and capacitance C = 100 $$\mu $$F. If a voltage V(t) = 10sin(314t) is applied to the circuit, the current in th...
JEE Main 2020 (Online) 7th January Evening Slot
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 ratio of the currents at time...
JEE Main 2020 (Online) 7th January Morning Slot
A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant 'b', the c...
JEE Main 2019 (Online) 12th April Evening Slot
Consider the LR circuit shown in the figure. If the switch S is closed at t = 0 then the amount of charge that passes through the battery between t = ...
JEE Main 2019 (Online) 10th April Evening Slot
A coil of self inductance 10 mH and resistance 0.1 $$\Omega $$ is connected through a switch to a battery of internal resistance 0.9 $$\Omega $$. Afte...
JEE Main 2019 (Online) 10th April Morning Slot
A transformer consisting of 300 turns in the primary and 150 turns in the secondary gives output power of 2.2 kW. If the current in the secondary coil...
JEE Main 2019 (Online) 8th April Evening Slot
A circuit connected to an ac source of emf e = e0sin(100t) with t in seconds, gives a phase difference of $$\pi $$/4 between the emf e and current i. ...
JEE Main 2019 (Online) 8th April Morning Slot
An alternating voltage v(t) = 220 sin 100 $$\pi $$t volt is applied to a purely resistance load of 50$$\Omega $$ . The time taken for the current to r...
JEE Main 2019 (Online) 12th January Evening Slot
In the above circuit, C = $${{\sqrt 3 } \over 2}$$$$\mu $$F, R2 = 20 $$\Omega $$, L = $${{\sqrt 3 } \over {10}}$$ H and R1 = 10 $$\Omega $$. Current i...
JEE Main 2019 (Online) 12th January Morning Slot
In the figure shown, a circuit contains two identical resistors with resistance R = 5$$\Omega $$ and an inductance with L = 2mH. An ideal battery of 1...
JEE Main 2019 (Online) 11th January Morning Slot
In the circuit shown, the switch S1 is closed at time t = 0 and the switch S2 is kept open. At some later time(t0), the switch S1 is opened and S2 i...
JEE Main 2019 (Online) 9th January Evening Slot
A power transmission line feeds input power at 2300 V to a srep down transformer with its primary windings having 4000 turns. The output power is deli...
JEE Main 2019 (Online) 9th January Evening Slot
A series AC circuit containing an inductor (20 mH), a capacitor (120 $$\mu $$F) and a resistor (60 $$\Omega $$) is driven by an AC source of 24V/50 Hz...
JEE Main 2018 (Online) 16th April Morning Slot
A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns, giving the output power...
JEE Main 2018 (Offline)
In an a.c. circuit, the instantaneous e.m.f. and current are given by e = 100 sin 30 t i = 20 sin $$\left( {30t - {\pi \over 4}} \right)$$ In one cy...
JEE Main 2018 (Offline)
For an RLC circuit driven with voltage of amplitude vm and frequency $${\omega _0}$$ = $${1 \over {\sqrt {LC} }}$$ the current exhibits resonance. The...
JEE Main 2018 (Online) 15th April Morning Slot
An ideal capacitor of capacitance $$0.2\,\mu F$$ is charged to a potential difference of $$10$$ $$V.$$ The charging battery is then disconnected. The ...
JEE Main 2017 (Online) 9th April Morning Slot
A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a series LCR circuit. Given that R=5 $$\Omega $$, L=25 mH and C=100...
JEE Main 2016 (Online) 9th April Morning Slot
A series LR circuit is connected to a voltage source with V(t) = V0 sin$$\Omega $$t. After very large time, current I(t) behaves as (t0 >> $$...
JEE Main 2016 (Offline)
An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply, the series inductor needed fo...
JEE Main 2015 (Offline)
An $$LCR$$ circuit is equivalent to a damped pendulum. In an $$LCR$$ circuit the capacitor is charged to $${Q_0}$$ and then connected to the $$L$$ and...
JEE Main 2015 (Offline)
An inductor $$(L=0.03$$ $$H)$$ and a resistor $$\left( {R = 0.15\,k\Omega } \right)$$ are connected in series to a battery of $$15V$$ $$EMF$$ in a cir...
JEE Main 2014 (Offline)
In the circuit shown here, the point $$'C'$$ is kept connected to point $$'A'$$ till the current flowing through the circuit becomes constant. Afterw...
JEE Main 2013 (Offline)
In an $$LCR$$ circuit as shown below both switches are open initially. Now switch $${S_1}$$ is closed, $${S_2}$$ kept open. ($$q$$ is charge on the ca...
AIEEE 2011
A fully charged capacitor $$C$$ with initial charge $${q_0}$$ is connected to a coil of self inductance $$L$$ at $$t=0.$$ The time at which the energy...
AIEEE 2011
A resistor $$'R'$$ and $$2\mu F$$ capacitor in series is connected through a switch to $$200$$ $$V$$ direct supply. Across the capacitor is a neon bul...
AIEEE 2010
In a series $$LCR$$ circuit $$R = 200\Omega $$ and the voltage and the frequency of the main supply is $$220V$$ and $$50$$ $$Hz$$ respectively. On tak...
AIEEE 2010
In the circuit shown below, the key $$K$$ is closed at $$t=0.$$ The current through the battery is ...
AIEEE 2009
An inductor of inductance $$L=400$$ $$mH$$ and resistors of resistance $${R_1} = 2\Omega $$ and $${R_2} = 2\Omega $$ are connected to a battery of $$e...
AIEEE 2007
In an $$a.c.$$ circuit the voltage applied is $$E = {E_0}\,\sin \,\omega t.$$ The resulting current in the circuit is $$I = {I_0}\sin \left( {\omega t...
AIEEE 2006
In an $$AC$$ generator, a coil with $$N$$ turns, all of the same area $$A$$ and total resistance $$R,$$ rotates with frequency $$\omega $$ in a magnet...
AIEEE 2006
In a series resonant $$LCR$$ circuit, the voltage across $$R$$ is $$100$$ volts and $$R = 1\,k\Omega $$ with $$C = 2\mu F.$$ The resonant frequency $$...
AIEEE 2005
The self inductance of the motor of an electric fan is $$10$$ $$H$$. In order to impart maximum power at $$50$$ $$Hz$$, it should be connected to a ca...
AIEEE 2005
The phase difference between the alternating current and $$emf$$ is $${\pi \over 2}.$$ Which of the following cannot be the constituent of the circui...
AIEEE 2005
A circuit has a resistance of $$12$$ $$ohm$$ and an impedance of $$15$$ $$ohm$$. The power factor of the circuit will be
AIEEE 2004
In an $$LCR$$ series $$a.c.$$ circuit, the voltage across each of the components, $$L,C$$ and $$R$$ is $$50V$$. The voltage across the $$L.C$$ combina...
AIEEE 2004
Alternating current can not be measured by $$D.C.$$ ammeter because
AIEEE 2004
In a $$LCR$$ circuit capacitance is changed from $$C$$ to $$2$$ $$C$$. For the resonant frequency to remain unchaged, the inductance should be changed...
AIEEE 2003
In an oscillating $$LC$$ circuit the maximum charge on the capacitor is $$Q$$. The charge on the capacitor when the energy is stored equally between t...
AIEEE 2003
The core of any transformer is laminated so as to
AIEEE 2002
The power factor of $$AC$$ circuit having resistance $$(R)$$ and inductance $$(L)$$ connected in series and an angular velocity $$\omega $$ is
AIEEE 2002
In a transformer, number of turns in the primary coil are $$140$$ and that in the secondary coil are $$280.$$ If current in primary coil is $$4A,$$ th...
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