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An inductor of inductance is connected across a charged capacitor of capacitance and the resulting L-C circuit is set oscillating at its natural frequency. Let denote the instantaneous charge on the capacitor and the current in the circuit. It is found that the maximum value of is When what is the value of ?
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The correct answer is:
This is a problem of L - C oscillations.
Charge stored in the capacitor oscillates simple harmonically as
Here, maximum value of
At then
... (i)
and ... (ii)
... (iii)
or
or
Charge stored in the capacitor oscillates simple harmonically as
Here, maximum value of
At then
... (i)
and ... (ii)
... (iii)
or
or
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