The flux linked with a coil at any instant t | vedclass

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(C) The magnetic flux linked with the coil is given by $\phi = 10t^2 - 50t + 250$.According to Faraday's law of electromagnetic induction,the induced

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(C) The magnetic flux linked with the coil is given by $\phi = 10t^2 - 50t + 250$.According to Faraday's law of electromagnetic induction,the induced emf $e$ is given by $e = -\frac{d\phi}{dt}$.Differentiating $\phi$ with respect to $t$:$\frac{d\phi}{dt} = \frac{d}{dt}(10t^2 - 50t + 250) = 20t - 50$.Therefore,$e = -(20t - 50) = 50 - 20t$.At $t = 3 \ s$,the induced emf is:$e = 50 - 20(3) = 50 - 60 = -10 \ V$.

The flux linked with a coil at any instant $t$ is given by $\phi = 10t^2 - 50t + 250$. The induced emf at $t = 3 \ s$ is ....... $V$.

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