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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Alternating Current

Olympiad workbook · NSEP · Alternating Current

After charging a capacitor C to a potential V , it is connected...

After charging a capacitor

C

to a potential

V

, it is connected across an ideal inductor

L

. The capacitor starts discharging simple harmonically at time

t=0

. The charge on the capacitor at a later time instant is

q

and the periodic time of simple harmonic oscillations is

T

. Therefore,

Options

A $q=C V \sin (\omega t)$
B $q=C V \cos (\omega t)$
C $T=2 \pi \sqrt{\frac{1}{L C}}$
D $T=2 \pi \sqrt{L C}$

Correct answer

D. $T=2 \pi \sqrt{L C}$

Step-by-step solution

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