Electro Magnetic Induction And Alternating Currents Question 411

Question: A fully charged capacitor C with initial charge q0 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

Options:

A) πLC

B) π4LC

C) 2πLC

D) LC

Show Answer

Answer:

Correct Answer: B

Solution:

  • Charge on the capacitor at any time ‘f’,

    q=q0cosωt …(i) At time when energy stored equally in electric and magnetic field, at this time Energy of a capacitor =12

    Total energy 12q2C=12(12q02C)q=q02

    From equation (i)

    q02=q0cosωt cosωt=12ωt=cos1(12)=π4 t=π4ω=π4LC(ω=1LC)



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