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(D) The formula for the induced $e.m.f.$ $(e)$ in the secondary circuit due to mutual induction is given by $e = M \frac{|\Delta I|}{\Delta t}$.Given:

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$300$

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(D) The formula for the induced $e.m.f.$ $(e)$ in the secondary circuit due to mutual induction is given by $e = M \frac{|\Delta I|}{\Delta t}$.Given:Mutual inductance $(M)$ = $0.09 \ H$Change in current $(\Delta I)$ = $20 \ A - 0 \ A = 20 \ A$Time interval $(\Delta t)$ = $0.006 \ s$Substituting the values into the formula:$e = 0.09 	imes \frac{20}{0.006}$$e = 0.09 	imes \frac{20000}{6}$$e = 0.09 	imes 3333.33 = 300 \ V$.Therefore,the induced $e.m.f.$ is $300 \ V$.

Two circuits have a coefficient of mutual induction of $0.09 \ H$. The average $e.m.f.$ induced in the secondary circuit due to a change of current from $0 \ A$ to $20 \ A$ in $0.006 \ s$ in the primary circuit will be:

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