JEE PHYSICS MCQ: ALTERNATING CURRENT

1 Hard

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Application +4 | -1

AC voltage V(t)

= \mathrm{20 sin}\,\mathrm{\omega t}

of frequency 50 Hz is applied to a parallel plate capacitor. The separation between the plates is 2 mm and the area is

1\,{m^2}.

The amplitude of the oscillating displacement current for the applied AC voltage is ….
[Take,

{\varepsilon _0} = 8.85 \times {10^{ - 12}}F/m]

View answer and explanation

Correct option: C

\mathrm{27}\mathrm{.79 \mu A}

Option C (

\mathrm{27}\mathrm{.79 \mu A}

) is correct because it is the calculated amplitude of the oscillating displacement current using the given AC voltage, frequency, plate separation, and area.

More Questions from ALTERNATING CURRENT

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In a series RC circuit with an AC source,

R=300 \, \Omega

C=25 \, \mu \mathrm{F}, \varepsilon_0=50 \mathrm{~V}

and

v=50 / \pi \, \mathrm{Hz}

. Find the peak current and the average power dissipated in the circuit. In a series circuit

R=300 \Omega, L=0.9 \mathrm{~H}, C=2.0

\mu F

and

\omega=1000 \mathrm{~rad} / \mathrm{sec}

. The impedance of the circuit is: An L-C-R series circuit with a resistance of

100 \Omega

is connected to

200 \mathrm{~V}

(AC source) and angular frequency

300 \, \mathrm{rad} / \mathrm{s}

. When only the capacitor is removed, then the current lags behind the voltage by

60^{\circ}

. When only the inductor is removed the current leads the voltage by

60^{\circ}

. The average power dissipated in original L-C-R circuit is Assertion (A) : In series

L-C \cdot R, \mathrm{AC}

circuit, current and voltage are in same phase at resonance.

Reason (R) : In series

L-C-R, \mathrm{AC}

circuit, resonant frequency does not depend on the value of resistance. Hence, current at resonance does not depend on resistance. A series

L-C-R

circuit is connected to an

\mathrm{AC}

voltage source. When

L

is removed from the circuit, the phase difference between current and voltage is

\frac{\pi}{4}

. If instead

C

is removed from the circuit, the phase difference is again

\frac{\pi}{4}

between current and voltage. The power factor of the circuit is A capacitor in an ideal LC circuit is fully charged by a DC source. Then it is disconnected from DC source, the current in the circuit