A parallel -plate capacitor having plate area `25.0`cm^2 and a separation`2.00`mm between the plates .the capacitor is connected to a bettery of `12.0`V.(a)find the charge on the capacitor .(b) the plate separation is decrerased to `1.00`mm. Find the extra charge given by the bettery to the positive plate.

Explanation

To solve the problem step by step, we will break it down into two parts as given in the question.

### Part (a): Find the charge on the capacitor.

1. **Calculate the Capacitance (C)**:
The formula for the capacitance of a parallel-plate capacitor is given by:
\[
C = \frac{A \epsilon_0}{d}
...