List of top Physics Questions on Capacitors and Displacement Current

A parallel plate capacitor has a separation between plates of 0.885 mm. It has a capacitance of $1\,\mu\text{F}$ when the space between the plates is filled with an insulating material of resistivity $1 \times 10^{13}\,\Omega\,\text{m}$ and resistance $17.7 \times 10^{14}\,\Omega$. The relative permittivity of the insulating material is $\alpha \times 10^7$. The value of $\alpha$ is \underline{\hspace{2cm}}.
A displacement current of 4.0 A can be set up in the space between two parallel plates of $6 \mu \text{F}$ capacitor. The rate of change of potential difference across the plates of the capacitor is nearly $\alpha \times 10^6 \text{ V/s}$. The value of $\alpha$ is _________.
A parallel plate air capacitor has a capacitance \(C\). When it is half filled as shown in the figure with a dielectric constant \(K=5\), the percentage increase in the capacitance is:
For the given circuit, find the reading of the ammeter just after the key(s) is closed.
A time-varying potential difference is applied between the plates of a parallel plate capacitor of capacitance \( 2.5 \, \mu F \). The dielectric constant of the medium between the capacitor plates is 1. It produces an instantaneous displacement current of \( 0.25 \, \text{mA} \) in the intervening space between the capacitor plates, the magnitude of the rate of change of the potential difference will be ----- \( \text{Vs}^{-1} \).