The frequency of oscillation of the current i | vedclass

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(B) In the given circuit,the two inductors $L$ and $2L$ are connected in series. Therefore,the equivalent inductance is $L_{eq} = L + 2L = 3L$.The two

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$\frac{1}{6\pi\sqrt{LC}}$

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(B) In the given circuit,the two inductors $L$ and $2L$ are connected in series. Therefore,the equivalent inductance is $L_{eq} = L + 2L = 3L$.The two capacitors $C$ and $2C$ are connected in parallel. Therefore,the equivalent capacitance is $C_{eq} = C + 2C = 3C$.The frequency of oscillation $f$ for an $LC$ circuit is given by the formula $f = \frac{1}{2\pi\sqrt{L_{eq}C_{eq}}}$.Substituting the equivalent values,we get $f = \frac{1}{2\pi\sqrt{(3L)(3C)}} = \frac{1}{2\pi\sqrt{9LC}} = \frac{1}{2\pi 	imes 3\sqrt{LC}} = \frac{1}{6\pi\sqrt{LC}}$.

The frequency of oscillation of the current in the given circuit is:

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