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MHT CET2018PhysicsCapacitance

A series combination of N 1 is charged to a potential difference 3 V . Another parallel combination of N 2 (each of capacity C 2 is charged to a potential difference V . The total energy stored in both the combination is the same. The value of C 1 in terms of C 2 is

Options

  1. AC 2 N 1 N 2 9
  2. BC 2 N 1 2 N 2 2 9
  3. CC 2 N 1 9 N 2
  4. DC 2 N 2 9 N 1

Correct answer

A. C 2 N 1 N 2 9

Step-by-step solution

C e q = C 1 N 1 E = 1 2 C V 2 = 1 2 C 1 N 1 9 V 2 = 9 2 C 1 N 1 V 2 C e q = N 2 C 2 E = 1 2 C V 2 = 1 2 C 2 N 2 V 2 9 2 C 1 N 1 V 2 = C 2 N 2 V 2 2 C 1 = C 2 N 2 N 1 9

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