The magnetic flux linked with a coil (in Wb) | vedclass

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(C) The magnitude of the induced emf $(\varepsilon)$ is given by Faraday's law of induction: $|\varepsilon| = |\frac{d\phi}{dt}|$.Given the magnetic f

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$43$

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(C) The magnitude of the induced emf $(\varepsilon)$ is given by Faraday's law of induction: $|\varepsilon| = |\frac{d\phi}{dt}|$.Given the magnetic flux $\phi = 5t^2 + 3t + 16$.Differentiating $\phi$ with respect to time $t$:$\frac{d\phi}{dt} = \frac{d}{dt}(5t^2 + 3t + 16) = 10t + 3$.To find the magnitude of the induced emf at the fourth second $(t = 4 \, s)$:$|\varepsilon| = 10(4) + 3 = 40 + 3 = 43 \, V$.

The magnetic flux linked with a coil (in $Wb$) is given by the equation $\phi = 5t^2 + 3t + 16$. The magnitude of induced emf in the coil at the fourth second will be (in $V$):

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