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)
Text Solution
Verified by ExpertsA
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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