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A circuit containing capacitors C(1) and...

A circuit containing capacitors `C_(1)` and `C_(2)` shown in the figure is in the steady state with key `K_(1)` cloesed. At the instant `t=0` , `K_(1)` is opened and `K_(2)` is closed.
(a) Find the angular frequency of oscillation of the `LC` circuit.
(b) Determine the first instant `t` , when enregy in the indctor becomes one third of that in the capacitor.
(c) Calculate the change on the plates of the capacitor at that instant.

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