What is the displacement current in the capacitor if the potential difference across the capacitor is increasing at 500,000V/s?

Explanation:

A 6.0-cm-diameter parallel-plate capacitor has a 0.46 mm gap.  

What is the displacement current in the capacitor if the potential difference across the capacitor is increasing at 500,000V/s?

Let given is,

The diameter of a parallel plate capacitor is 6 cm or 0.06 m

Separation between plates, d = 0.046 mm

The potential difference across the capacitor is increasing at 500,000 V/s

We need to find the displacement current in the capacitor. Capacitance for parallel plate capacitor is given by :

, r is radius

Let I is the displacement current. It is given by :

Here, is rate of increasing potential difference

So

So, the value of displacement current is .

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