CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


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 magnetic fields is 


  1. πLC

  2. π4LC

  3. 2πLC

  4. LC


Solution

The correct option is B

π4LC


charge on the capacitor at any time 't ', 

q=q0 cosωt    (i)

At time when energy stored equally in electric and magnetic field, at this time 

Energy of a capacitor =  12 Total energy 

12q2C=12(12q20C)q=q02

From Equation (i) 

q02=q0cosωt

cosωt=12ωt=cos1(12)=π4

t=π4ω=π4LC(ω=1LC)

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image