An inductor coil stores U energy when i curre | vedclass

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(C) The energy stored in an inductor is given by $U = \frac{1}{2} L i^2$. From this,we can express the inductance as $L = \frac{2U}{i^2}$. The rate of

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$\frac{2U}{P}$

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(C) The energy stored in an inductor is given by $U = \frac{1}{2} L i^2$. From this,we can express the inductance as $L = \frac{2U}{i^2}$. The rate of energy dissipation (power loss) in the coil is given by $P = i^2 R$. From this,we can express the resistance as $R = \frac{P}{i^2}$. The time constant $	au$ of an $LR$ circuit is defined as $	au = \frac{L}{R}$. Substituting the expressions for $L$ and $R$: $	au = \frac{2U / i^2}{P / i^2} = \frac{2U}{P}$.

An inductor coil stores $U$ energy when $i$ current is passed through it and dissipates energy at the rate of $P$. The time constant of the circuit,when this coil is connected across a battery of zero internal resistance is

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