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(C) The induced emf $e$ in an inductor is given by the formula $e = -L \frac{di}{dt}$.From the graph,for the time interval $t = 5\, ms$ to $t = 6\, ms

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$23 	imes 10^3\, V$

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(C) The induced emf $e$ in an inductor is given by the formula $e = -L \frac{di}{dt}$.From the graph,for the time interval $t = 5\, ms$ to $t = 6\, ms$,the current changes from $5\, A$ to $0\, A$.The rate of change of current $\frac{di}{dt}$ is the slope of the line segment $BC$.$\frac{di}{dt} = \frac{i_f - i_i}{t_f - t_i} = \frac{0 - 5}{6 	imes 10^{-3} - 5 	imes 10^{-3}} = \frac{-5}{1 	imes 10^{-3}} = -5 	imes 10^3\, A/s$.Substituting the values into the emf formula:$e = - (4.6\, H) 	imes (-5 	imes 10^3\, A/s) = 23 	imes 10^3\, V$.

The current through a $4.6\, H$ inductor is shown in the following graph. The induced emf during the time interval $t = 5\, ms$ to $t = 6\, ms$ will be

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