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Electrostatic Potential And Capacitance

Question
CBSEENPH12040028

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be

  • C/3, V/3

  • 3C, V/3

  • C/3, 3V

  • 3C ,3V

Solution

C.

C/3, 3V

In series arrangement charge on each plate of each capacitor has the same magnitude. The potential difference is distributed inversely in the ratio of capacitors ie,
V = V1 +V2 +V3 ....
Here, V = 3V
The equivalent capacitance Cs is given by

1 over straight C subscript straight s space equals space 1 over straight C subscript 1 space plus space 1 over straight C subscript 2 space plus 1 over straight C subscript 3 space plus..

straight C subscript straight s space equals space straight C over 3

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