-->

Electrostatic Potential And Capacitance

Question
CBSEENPH12039943

A parallel-plate air capacitor has capacity C, a distance of separation between plates is d a potential difference V is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is 

  • fraction numerator straight C squared straight V squared over denominator 2 straight d end fraction
  • fraction numerator CV squared over denominator 2 straight d end fraction
  • CV squared over straight d
  • fraction numerator straight C squared straight V squared over denominator 2 straight d squared end fraction

Solution

B.

fraction numerator CV squared over denominator 2 straight d end fraction

Force between plates of parallel capacitor,

straight F space equals space qE space equals space straight q space open square brackets fraction numerator straight sigma over denominator 2 straight epsilon subscript straight o end fraction close square brackets
therefore comma
surface space charge space density space straight sigma space equals straight q over straight A
therefore comma space space straight q space open square brackets fraction numerator straight q over denominator 2 Aε subscript straight o end fraction close square brackets space
rightwards double arrow space straight F space equals space fraction numerator straight q squared over denominator 2 Aε subscript straight o end fraction
So comma space net space charge space across space straight a space capacitor comma space straight q space equals space CV

straight F equals fraction numerator straight C squared straight V squared over denominator 2 Aε subscript straight o end fraction space space space space open square brackets straight C space equals space Aε subscript straight o over straight d close square brackets

rightwards double arrow space straight F space equals space fraction numerator open parentheses Aε subscript straight o over straight d close parentheses space straight x space CV squared over denominator 2 Aε subscript straight o end fraction space equals space fraction numerator CV squared over denominator 2 space straight d end fraction

Some More Questions From Electrostatic Potential and Capacitance Chapter