A capacitance of 2  μF is required in an electrical circuit across a potential difference of 1 . 0…

A capacitance of μF is required in an electrical circuit across a potential difference of 1.0 kV. A large number of 1 μF capacitors are available which can withstand a potential difference of not more than 300 V. The minimum number of capacitors required to achieve this is:
  1. 32
  2. 2
  3. 16
  4. 24

Solution


Let us assume that we connect n(whole number) capacitors in series such that the potential difference across the combination is 1000 V. This means the potential difference across each capacitor is

Vcapacitor=1000n V300 V

n1000300=3.333.

nmin=4

This means we need to connect at least 4 capacitors in series to make sure that the potential across each one is less than 300 V.

Ceq=mnC=2 μF

m4=2m=8

Minimum no. of capacitors =8×4=32

Asked in: JEE Main 2017 (02 Apr)

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