QJEEM11Phfa08: JEE Main 2011 Physics - Class 12 JEEM11Phfa08 Solution: A fully charged capacitor C with initial charge q 0 is…

Question

Verified Solution • 2025–26 Session moderate

A fully charged capacitor

C

with initial charge

q_{0}

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 is :

Accepted Answer

Energy stored in magnetic field

= \frac{1}{2} L i^{2}

Energy stored in electric field

= \frac{1}{2} \frac{q^{2}}{C}

∴

\frac{1}{2} L i^{2} = \frac{1}{2} \frac{q^{2}}{C}

Also

q = q_{0} \cos ω t

and

ω = \frac{1}{\sqrt{L C}}

On solving

t = \frac{π}{4} \sqrt{L C}

Step-by-Step Verified Solution