The potential across a capacitor is increasing at a rate of 120 V/s.If the displacement current through the capacitor is 10.0 A,what is the capacitance of the capacitor?

Question

Quizplus · Accepted Answer

According to the equation of continuity, the displacement current through a capacitor is given by:

Id = ε0 A (dV/dt)

Where Id is the displacement current, ε0 is the permittivity of free space, A is the area of the plates, and (dV/dt) is the rate of change of potential across the capacitor.

We are given that (dV/dt) = 120 V/s and Id = 10.0 A.

Solving for the capacitance C:

C = (Id / ε0 A (dV/dt)) = (10.0 A) / (8.85 x 10^-12 F/m * 1 m^2 * 120 V/s)

C = 83.1 x 10^-6 F = 83 mF.

Therefore, the capacitance of the capacitor is 83 mF, so the correct choice is C.

The Potential Across a Capacitor Is Increasing at a Rate