1
MCQ (Single Correct Answer)

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=1000 $$\mu $$F. The total impedance, and phase difference between the voltage across the source and the current will respectively be :
A
10 $$\Omega $$ and tan$$-$$1 $$\left( {{5 \over 3}} \right)$$
B
$$7\,\Omega $$ and 45o
C
$$10\,\Omega $$ and tan$$-$$1$$\left( {{8 \over 3}} \right)$$
D
$$7\,\Omega $$ and tan$$-$$1$$\left( {{5 \over 3}} \right)$$
2
MCQ (Single Correct Answer)

JEE Main 2017 (Online) 9th April Morning Slot

The electric field component of a monochromatic radiation is given by

$$\overrightarrow E $$ = 2 E0 $$\widehat i$$ cos kz cos $$\omega $$t

Its magnetic field $$\overrightarrow B $$ is then given by :
A
$${{2{E_0}} \over c}$$ $$\widehat j$$ sin kz cos $$\omega $$t
B
$$-$$ $${{2{E_0}} \over c}$$ $$\widehat j$$ sin kz sin $$\omega $$t
C
$${{2{E_0}} \over c}$$ $$\widehat j$$ sin kz sin $$\omega $$t
D
$${{2{E_0}} \over c}$$ $$\widehat j$$ cos kz cos $$\omega $$t
3
MCQ (Single Correct Answer)

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 cycle of a.c., the average power consumed by the circuit and the wattless current are, respectively
A
50, 0
B
50, 10
C
$${{1000} \over {\sqrt 2 }},10$$
D
$${{50} \over {\sqrt 2 }}$$

Explanation

Wattless current,

here  $$\phi $$  is the angle between i and e.

Average power,

Pav = Vrms Irms cos$$\phi $$

= $${{100} \over {\sqrt 2 }} \times {{20} \over {\sqrt 2 }}$$ cos$${\pi \over 4}$$

= $${{1000} \over {\sqrt 2 }}$$ watt.
4
MCQ (Single Correct Answer)

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 quality factor, Q is given by :
A
$${{CR} \over {{\omega _0}}}$$
B
$${{{\omega _0}L} \over R}$$
C
$${{{\omega _0}R} \over L}$$
D
$${R \over {\left( {{\omega _0}C} \right)}}$$

Explanation

Quality factor (Q) = $${{Angular\,\,{\mathop{\rm Re}\nolimits} sonance} \over {Bandwith}}$$

= $${{{1 \over {\sqrt {LC} }}} \over {{R \over L}}}$$

= $${{{\omega _0}} \over {{R \over L}}}$$

= $${{{\omega _0}L} \over R}$$

Questions Asked from Alternating Current and Electromagnetic Induction

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