The magnetic flux linked with a coil is given by $\phi$ (in webers) = $5 + 3t + 8t^2$. The induced e.m.f. in the coil at the fourth second will be

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67 units. By Faraday’s law, induced emf is $e = -\frac{d\phi}{dt}$. For $\phi = 5 + 3t + 8t^2$, we get $\frac{d\phi}{dt} = 3 + 16t$. At $t=4\,\text{s}$, this becomes $3 + 64 = 67$, so the magnitude of emf is 67 units.

The magnetic flux linked with a coil is given by \(\phi\) (in webers) = \(5 + 3t + 8t^2\). The induced e.m.f. in the coil at the fourth second will be

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