Calculate the rate of change in the potential difference between the parallel plates of a ` 1 mu F ` capacitor to develop an instantaneous displacement current of 0.5 A .

Explanation

To solve the problem, we need to calculate the rate of change of potential difference (dV/dt) across a capacitor to develop an instantaneous displacement current (ID) of 0.5 A.

### Step-by-Step Solution:

1. **Understand the relationship between displacement current and electric field:**
The displacement current (ID) can be expressed using Maxwell's equations. The formula is:
\[
I_D = \varepsilon_0 \frac{A}{d} \frac{dE}{dt}
...