## If the voltage across the plates is increasing at the rate of 220 V/s, what is the displacement current in the capacitor

Question

If the voltage across the plates is increasing at the rate of 220 V/s, what is the displacement current in the capacitor

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6 months 2021-07-31T12:41:57+00:00 1 Answers 19 views 0

1. Complete Question

A parallel-plate capacitor has square plates 20 cm on a side and 0.50 cm apart. If the voltage across the plates is increasing at the rate of 220 V/s, what is the displacement current in the capacitor?

The value is

Explanation:

From the question we are told that

The  length and breath of the square plate is

The  distance of separation between each plate is

The rate of voltage  increase is

Generally the charge on the plate is mathematically represented as

Now C is the capacitance of the capacitor which is mathematically represented as

Here A is the cross-sectional area which is mathematically represented as

=>

=>

So

Now the change of the charge flowing through the plates with time is mathematically represented as

So

Generally

So