Show that in the free oscillations of an LC circuit, the sum of energies stored in the capacitor and the - Physics - Alternating Current

Question

Show that in the free oscillations of an LC circuit, the sum of
energies stored in the capacitor and the inductor is constant in
time

Abhay Kumar · Accepted Answer

Dear Student,

<img alt="" src=
"https://img-nm%20mnimgs%20com/img/study_content/content_ck_images/images/IMG_1434%20JPG"
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all the terms and notations used above have their usual meaning in
context to NCERT textbook

Show that in the free oscillations of an LC circuit, the sum of energies stored in the capacitor and the inductor is constant in time.