An LC circuit has L =20 mH , `C=50muF` and initial charge 10 mC the resistance being negligible. At what time is the total energy shared equally between the inductor and the capacitor?

An LC circuit has L =20 mH , `C=50muF` and initial charge 10 mC the re

1.	An LC circuit has L =20 mH , `C=50muF` and initial charge 10 mC the resistance being negligible. At what time is the total energy shared equally between the inductor and the capacitor?
Answer» `E=q^2/(2C)=1/(2C)q_0^2cos^2omegat` when `omegat=45^@,cosomegat=1/sqrt2` `E=1/(2C).q_0^2. 1/2=1/2(q_0^2/(2C))=1/2times` total energy So, when `omegat=45^@`or`t=T/8,(3T)/8,(5T)/8,....` the energy is shared equally between the capacitor and inductor.

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An LC circuit has L =20 mH , `C=50muF` and initial charge 10 mC the resistance being negligible. At what time is the total energy shared equally between the inductor and the capacitor?

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