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If a fully charged capacitor C with initial charge q 0 is connected to a coil of self inductance L a t t = 0 . The time at which the energy is stored equally between the electric field and magnetic field is

Options

  1. Aπ L C
  2. Bπ 4 L C
  3. Cπ 2 L C
  4. Dπ 6 L C

Correct answer

B. π 4 L C

Step-by-step solution

In L C oscillation, energy is transferred C t o L o r L t o C , maximum energy in L i s 1 2 L I m a x 2 Maximum energy in C i s q m a x 2 2 C Energy will be equal when, 1 2 L I 2 = 1 2 1 2 L I m a x 2 ⇒ I = I m a x 2 I = I m a x sin ⁡ ω t = 1 2 I m a x ω t = π 4 ⇒ 2 π T t = π 4 ⇒ t = T 8 t = 1 8 2 π L C = π 4 L C ⇒ t = π 4 L C

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