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Question

A circuit containing capacitors C1 and C2 , shown in the figure is in the steady state with key K1 closed and K2 opened. At the instant t=0,K1 is opened and K2 is closed. Find the angular frequency of oscillations of LC circuit.(in rad/s)
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Solution

With key K1 closed, C1 and C2 are in series with the battery in steady state.
Cnet=1μF or q0=CnetV=20μC
With K1 opened and K2 closed, charge on C2 will remain as it is, while charge on C1 will oscillate in LC1 circuit.
ω=1LC1
=10.2×103×2×106
=5×104 rad/s

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