Home Physics Alternating Current All Topic Question for Revision Test An circuit is equivalent to a damped pendul…
Physics Alternating Current All Topic Question for Revision Test MCQ (Single Correct)

An circuit is equivalent to a damped pendulum. In an circuit the capacitor is charged to Q 0 and then connected to the L and R as shown below.

If a student plots graphs of the square of maximum charge on the capacitor with time (t) for two different values L 1 and of L, then which of the following represents this graph correctly (plots are schematic and not drawn to scale)

A
B
C
D

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Text Solution

Verified by Experts
The correct answer is:
A

At any time t apply

and


From damped harmonic oscillator, the amplitude is given by
, for general equation of double differential equation

Lesser the self-inductance, faster will be damping, hence correct graph is in option .

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