Instantaneous displacement current of 2.0 A is set up in the space between two parallel plates of \(1~\mu F\)$$ capacitor. The rate of change in potential difference across the capacitor is:

1. $3\times {10}^6$ $V/s$

2. $4\times {10}^6$ $V/s$

3. $2\times {10}^6$ $V/s$

4. None of these

The S.I. unit of displacement current is:
1. Henry
2. Coulomb
3. Ampere
4. Farad

A capacitor is having a capacity of 2 pF. The electric potential across the capacitor is changing with a value of \(10^{12}~\mathrm{V/s}\). The displacement current is:

In an electric circuit, there is a capacitor of reactance 100 $\mathrm{\Omega }$ connected across the source of 220 V. The rms value of displacement current will be:
1. 2.2 A 

2. 0.22 A 

3. 4.2 A 

4. 2.4 A

A capacitor is made of two circular plates each of radius \(12~\text{cm}\) and separated by 5.0 cm. The capacitor is being charged by an external source. The charging current is constant and equal to 0.15 A. The displacement current across the plates is:

1. 0

2. 0.14 A

3. 0.16 A

4. 0.15 A

A variable frequency AC source is connected to a capacitor. Then on increasing the frequency:

The charge of a parallel plate capacitor is varying as $q=q_0\sin \omega t$. Find the magnitude of displacement current through the capacitor. 
(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. $\frac{q_{0}A\omega }{d}\cos \omega t$

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. i/2

3. i/4

4. i/8

A larger parallel plate capacitor, whose plates have an area of 1 $m^2$, separated from each other by 1 mm, is being charged at a rate of 25.8 V/s. If the plates have dielectric constant 10, then the displacement current at this instant is:

1. 25 $\mu A$

2. 11 $\mu A$

3. 2.2 $\mu A$

4. 1.1 $\mu A$

A parallel plate capacitor consists of two circular plates each of radius 2 cm, separated by a distance of 0.1 mm. If the voltage across the plates is varying at the rate of $5\times {10}^{13}$ V/s, then the value of displacement current is:

1. 5.50 A

2. $5.56\times {10}^2$ $A$

3. 5.56$\times {10}^3$ A

4. $2.28\times {10}^4$ $A$