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The magnetic flux through a coil is vary...

The magnetic flux through a coil is varying according to the relation `phi = (5 t^(3) + 4 t^(2) + 2t - 5)` Wb. Calculate the induced current through the coil at `t = 2` s if resistiance of coil is 5 ohm.

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To solve the problem, we need to follow these steps: ### Step 1: Find the expression for induced EMF The induced electromotive force (EMF) in a coil is given by Faraday's law of electromagnetic induction, which states that the induced EMF (ε) is equal to the negative rate of change of magnetic flux (φ) through the coil: \[ \varepsilon = -\frac{d\phi}{dt} \] ...
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