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

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

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; $q = q_{0} \sin\omega t$. 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. $\frac{q_{0} A \omega}{d} \cos \omega t$

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. $1.1~\mu\text{A}$

The figure shows a parallel plate capacitor being charged by a battery. If $X$ and $Y$ are two closed curves then during charging, $\oint \vec{B}.d\vec{l}$ is zero along the curve:

        
1. $X$ only
2. $Y$ only
3.  Both $X$ & $Y$
4.  Neither $X$ nor $Y$

Out of the following options which one can be used to produce a propagating electromagnetic wave?