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Energy Stored in an Inductor

In the circui...

Question

In the circuit shown, X is joined to Y for a long time, and then X is joined to Z. The total heat produced in $R_{2}$ is

\frac{L E^{2}}{2 R_{1}^{2}}

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\frac{L E^{2}}{2 R_{2}^{2}}

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\frac{L E^{2}}{2 R_{1} R_{2}}

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\frac{L E^{2} R^{2}}{2 R_{1}^{2}}

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Solution

The correct option is A $\frac{L E^{2}}{2 R_{1}^{2}}$
Energy stored in the inductor = $U = \frac{1}{2} L i^{2}$ where $i = \frac{E}{R_{1}}$ . This energy is dissipated as heat in $R_{2}$ when the switch is connected to Z.

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