A capacitor is having a capacity of \(2~\text{pF}\). The electric potential across the capacitor is changing with a value of \(10^{12}~\text{V/s}\). The displacement current is:
1. \(2~\text A\)
2. \(3~\text A\)
3. \(6~\text A\)
4. \(9~\text A\)
Subtopic:  Displacement Current |
 90%
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The S.I. unit of displacement current is:
1. Henry
2. Coulomb
3. Ampere
4. Farad

Subtopic:  Displacement Current |
 88%
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Instantaneous displacement current of \(2.0~\text A\) is set up in the space between two parallel plates of \(1~\mu \text{F}\) capacitor. The rate of change in potential difference across the capacitor is:
1. \(3\times 10^{6}~\text{V/s}\)
2. \(4\times 10^{6}~\text{V/s}\)
3. \(2\times 10^{6}~\text{V/s}\)
4. None of these

Subtopic:  Displacement Current |
 88%
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In an electric circuit, there is a capacitor of reactance \(100~\Omega\) connected across the source of \(220~\text{V}\). The rms value of displacement current will be:
1. \(2.2~\text{A}\)
2. \(0.22~\text{A}\)
3. \(4.2~\text{A}\)
4. \(2.4~\text{A}\)

Subtopic:  Displacement Current |
 87%
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A variable frequency AC source is connected to a capacitor. Then on increasing the frequency:

1. Both conduction current and displacement current will increase
2. Both conduction current and displacement current will decrease
3. Conduction current will increase and displacement current will decrease
4. Conduction current will decrease and displacement current will increase
Subtopic:  Displacement Current |
 73%
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The charge of a parallel plate capacitor is varying as; \(q = q_{0} \sin\omega t\). The magnitude of displacement current through the capacitor is:
(the plate Area = \(A\), separation of plates = \(d\))
1. \(q_{0}\cos \left(\omega t \right)\)
2. \(q_{0} \omega \sin\omega t\)
3. \(q_{0} \omega \cos \omega t\)
4. \(\frac{q_{0} A \omega}{d} \cos \omega t\)

Subtopic:  Displacement Current |
 73%
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A parallel plate capacitor with plate area \(A\) and separation between the plates \(d\), is charged by a source having current \(i\) at some instant. Consider a plane surface of area \(A/2\) parallel to the plates and drawn symmetrically between the plates. The displacement current through this area is:
1. \(i\) 
2. \(\dfrac{i}{2}\) 
3. \(\dfrac{i}{4}\) 
4. \(\dfrac{i}{8}\)

Subtopic:  Displacement Current |
 74%
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A capacitor is made of two circular plates each of radius \(12~\text{cm}\) and separated by \(5.0~\text{cm}\). The capacitor is being charged by an external source. The charging current is constant and equal to \(0.15~\text{A}\). The displacement current across the plates is:
1. \(0\)
2. \(0.14~\text{A}\)
3. \(0.16~\text{A}\)
4. \(0.15~\text{A}\)

Subtopic:  Displacement Current |
 72%
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A larger parallel plate capacitor, whose plates have an area of \(1~\text{m}^2,\) separated from each other by \(1~\text{mm},\) is being charged at a rate of \(25.8~\text{V/s}.\) If the plates have a dielectric constant \(10,\) then the displacement current at this instant is:
1. \(25~\mu\text{A}\)
2. \(11~\mu\text{A}\)
3. \(2.2~\mu\text{A}\)
4. \(1.1~\mu\text{A}\)

Subtopic:  Displacement Current |
 68%
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A parallel plate capacitor consists of two circular plates each of radius \(2~\text{cm}\), separated by a distance of \(0.1~\text{mm}\). If the voltage across the plates is varying at the rate of \(5\times10^{13}~\text{V/s}\), then the value of displacement current is:
1. \(5.50~\text{A}\)
2. \(5.56\times 10^{2}~\text{A}\)
3. \(5.56\times 10^{3}~\text{A}\)
4. \(2.28\times 10^{4}~\text{A}\)

Subtopic:  Displacement Current |
 65%
From NCERT
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