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JEE Main202127 Jul 2021Morning ShiftPhysicsCapacitanceActual

A capacitor of capacitance C = 1 μ F is suddenly connected to a battery of 100 V through a resistance R = 100 Ω . The time taken for the capacitor to be charged to get 50 V is: (Take ln 2 = 0 . 69 )

Options

  1. A1 . 44 × 10 - 4   s
  2. B3 . 33 × 10 - 4   s
  3. C0 . 69 × 10 - 4   s
  4. D0 . 30 × 10 - 4   s

Correct answer

C. 0 . 69 × 10 - 4   s

Step-by-step solution

V = V 0 1 - e - t R C 50 = 100 1 - e - t R C t = 0 . 69 × 10 - 4   sec .

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