A fully charged capacitor C with initial charge `underset(o)(q)` is connected to a coil of self-inductance L at t = 0 . The time at which the energy is stored equally between the electric and the magnetic fields isA. `pi``sqrt LC`B. `pi`/4`sqrt LC`C. `2pi``sqrt LC`D. `sqrt LC`

A fully charged capacitor C with initial charge `underset(o)(q)` is co

1.	A fully charged capacitor C with initial charge `underset(o)(q)` is connected to a coil of self-inductance L at t = 0 . The time at which the energy is stored equally between the electric and the magnetic fields isA. `pi``sqrt LC`B. `pi`/4`sqrt LC`C. `2pi``sqrt LC`D. `sqrt LC`
Answer» Correct Answer - B In LC oscillation energy is transferred C to I, I to C, maximum energy in L is = `1/2 LI_max^(2)` . Maximum energy in C is `q_max^(2)`/2C Equal energy will be when 1/2L`t^(2)` = 1/2.1/2L`t_max^(2)` I = 1/`sqrt2` `I_max` I = `I_max`sin`omega`t = `1/sqrt 2``I_max` `omega`t = `pi`/4 or 2 `pi`/T t = `pi`/4 or t = T/8 `implies` t = 1/8 `2pi``sqrt LC` = `pi`/4 `sqrt LC`

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A fully charged capacitor C with initial charge `underset(o)(q)` is connected to a coil of self-inductance L at t = 0 . The time at which the energy is stored equally between the electric and the magnetic fields isA. `pi``sqrt LC`B. `pi`/4`sqrt LC`C. `2pi``sqrt LC`D. `sqrt LC`

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