A5.6 cm diameter parallel-plate capacitor has a 0.58 mm gap. what is the displacement current in the capacitor if the potential difference across the capacitor is increasing at 500,000 v/s?

Explanation:

The capacitance of a parallel plate capacitor is given by:

(1)

where

is the vacuum permittivity

A is the area of the plates

d is the separation between the plates

The charge stored on the capacitor is given by

(2)

where C is the capacitance and V is the voltage across the capacitor.

The displacement current in the capacitor is given by

(3)

where t is the time elapsed

Substituting (1) and (2) into (3), we find an expression for the displacement current:

where we have

Substituting into the equation, we find

the independent variable, or the one that is intentionally manipulated is the speed.

the answer for apex is the lowest