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  • A short-circuited coli Is placed In a time-varying magnetic field. Electrical power is dissipated due to the current induced In the coil. If the number of turns were to be quadrupled and the coil radius halved, the electrical power dissipated would be (a)

A short-circuited coli Is placed In a time-varying magnetic field. Electrical power is dissipated due to the current induced In the coil. If the number of turns were to be quadrupled and the coil radius halved, the electrical power dissipated would be (a) halved (b) the same (c) doubled ( d ) quadrupled

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Power \ \ P=\frac{e^{2}}{R},$ \\ hence $e=-\left(\frac{d \varphi}{d t}\right)$ where $\varphi=N B A$ $: \\e=-N A\left(\frac{d B}{d t}\right)$ \\ Also $R \propto \frac{1}{r^{2}}$ where $R=$ resistance, $r=$ radius, $l=$ Length $: \\P \propto \frac{N^{2} r^{2}}{l} \Rightarrow \frac{P_{1}}{P_{2}}=1$

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avinash.dongre

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