Physics-
General
Easy

Question

A capacitor of capacitance C subscript 0 charged to a potential V subscript 0 and then isolated. A small capacitor C is then charged from C subscript 0 , discharged and charged again; the process being repeated n times. Due to this, potential of the larger capacitor us decreased to V . The value of C is

  1. C subscript 0 open parentheses V subscript 0 over V close parentheses to the power of 1 divided by n end exponent
  2. C subscript 0 open square brackets open parentheses V subscript 0 over V close parentheses to the power of 1 divided by n end exponent minus 1 close square brackets
  3. C subscript 0 open square brackets open parentheses V over V subscript 0 close parentheses minus 1 close square brackets to the power of n
  4. C subscript 0 open square brackets open parentheses V over V subscript 0 close parentheses to the power of n plus 1 close square brackets

The correct answer is: C subscript 0 open square brackets open parentheses V subscript 0 over V close parentheses to the power of 1 divided by n end exponent minus 1 close square brackets

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