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In an L-R circuit connected to a battery, the rate at which energy is stored in the inductor is plotted against time during the growth of current in the circuit. Which of the following figure best represents the resulting curve?

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answer is C.

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Detailed Solution

Energy stored in an inductor L carrying Current ‘I’ id $U = \frac{1}{2} L i^{2}$

Rate at which energy is stored $= \frac{d U}{d t} = \frac{1}{2} L 2 i (\frac{d i}{d t}) = L i (\frac{d i}{d t})$

At $t = 0, i = 0, ∴ \frac{d U}{d t} = 0$

At $t = \infty, i = i_{0}$ (constant), $∴ \frac{d i}{d t} = 0$

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