A parallel plate air capacitor has capacity ’ C ’ distance of separation between plates is ’ d ’ and potential difference ’ V ’ is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is ?

A parallel plate air capacitor has capacity ’ C ’ distance of separation between plates is ’ d ’ and potential difference ’ V ’ is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is ?

(a) \( \frac{C V^2}{2 d} \)

(b) \( \frac{C V^2}{d} \)

(c) \( \frac{C \cdot 2V^2}{2 d^2} \)

(d) \( \frac{C \cdot 2 V^2}{2 d^2} \)

Answer :  (a) \( \frac{C V^2}{2 d} \)

\( \text{Energy} = \text{Work} \)

\( \frac{1}{2} C V^2 = F \cdot D \)