Displacement Current — Prelims Questions

A parallel plate capacitor with circular plates of radius $R = 5,\text{cm}$ is being charged by an external source. The conduction current in the connecting wires is $I_c = 0.5,\text{A}$. What is the displacement current between the plates?

The electric field between the plates of a parallel plate capacitor is given by $E(t) = E_0 sin(omega t)$. If the area of the plates is $A$, what is the displacement current between the plates?

Which of the following statements about displacement current is INCORRECT?

A parallel plate capacitor is connected to an AC source. If the instantaneous conduction current in the wires is $I_c$, what is the instantaneous displacement current density $vec{J}_d$ between the plates, assuming uniform field and plate area $A$?

An electromagnetic wave is propagating in vacuum. Which of Maxwell's equations primarily describes how a changing electric field generates a magnetic field?

A parallel plate capacitor has plates of area $A = 200,\text{cm}^2$ and separation $d = 1,\text{mm}$. It is connected to a $100,\text{V}$ AC source with angular frequency $omega = 1000,\text{rad/s}$. Calculate the peak displacement current in the capacitor. (Given $epsilon_0 = 8.85 \times 10^{-12},\text{F/m}$)