A compass needle is placed in the gap of a parallel plate capacitor. The capacitor is connected to a battery through a resistance. The compass needle:

1. does not deflect.
2. deflects for a very short time and then comes back to the original position.
3. deflects and remains deflected as long as the battery is connected.
4. deflects and gradually comes to the original position in a time which is large compared to the time constant.

Subtopic:  Displacement Current |
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Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor:

(a) increases
(b) decreases
(c) does not change
(d) is zero
 
Choose the correct option:
1. (a), (b) 
2. (b), (c) 
3. only (c) 
4. (a), (d)
Subtopic:  Displacement Current |
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A capacitor of capacitance \(C\) is connected across an AC source of voltage \(V\), given by;
\(V=V_0 \sin \omega t\)
The displacement current between the plates of the capacitor would then be given by:
1. \( I_d=\frac{V_0}{\omega C} \sin \omega t \)
2. \( I_d=V_0 \omega C \sin \omega t \)
3. \( I_d=V_0 \omega C \cos \omega t \)
4. \( I_d=\frac{V_0}{\omega C} \cos \omega t\)

Subtopic:  Displacement Current |
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To produce an instantaneous displacement current of \(2~\text{mA}\) in the space between the parallel plates of a capacitor of capacitance \(4~\mu\text{F}\), the rate of change of applied variable potential difference \(\left(\frac{dV}{dt}\right)\) must be:
1. \( 800~ \text{V} / \text{s} \)
2. \( 500~ \text{V} / \text{s} \)
3. \( 200~ \text{V} / \text{s} \)
4. \( 400 ~\text{V} / \text{s}\)
Subtopic:  Displacement Current |
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