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Q.

In an oscillating LC circuit the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between the electric and magnetic field is $\frac{Q}{\sqrt{N}}$ . The value of ‘N’ is

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answer is 2.

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Detailed Solution

$U_{C} + U_{L} = \frac{Q^{2}}{2 C}$

$\Rightarrow \frac{1}{2} \frac{q^{2}}{C} + \frac{1}{2} {LI}^{2} = \frac{1}{2} \frac{Q^{2}}{C}$
$Here, U_{C} = U_{L} = \frac{q^{2}}{2 C}$
$\begin{array}{l} \Rightarrow 2 \cdot \frac{q^{2}}{2 C} = \frac{Q^{2}}{2 C} \\ \Rightarrow q = \frac{Q}{\sqrt{2}} \end{array}$

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