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A point charge is moving along a straight line with a constant
velocity v. Consider a small area A perpendicular to the direction of motion of the charge figure. Calculate the displacement current through the area when its distance from the charge is x. The value of x is not large so that the electric field at any instant is essentially given by Coulomb’s law.
A parallel-plate capacitor having plate-area A and plate separation
d is joined to a battery of emf ϵ and internal resistance R at t = 0.
Consider a plane surface of area A/2, parallel to the plates and
situated symmetrically between them. Find the displacement current
through this surface as a function of time.