Question

The arrangement of a capacitor is given below. The plate A is charged and the plate B is earthed, ‘d’ is the distance between two plates.

1. Write any one use of this capacitor.

2. Obtain an expression for capacitance of this arrangement.

3. A capacitor is made of a at plate of area A and second plate having a stair like structure as shown in figure. The width of each stair is d and 2d. Find the capacitance of this arrangement.

Answer 1

1. To store electric charges

2. C = \(\frac{A\varepsilon_0}{d}\)

3. It is equivalent to two capacitors connected in parallel.

C = C₁ + C₂