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If magnetic flux passing through a coil as a function of time is given by = (2t2 + t) Wb, then induced emf (magnitude) at t = 1 s will be ______ V

Question

If magnetic flux passing through a coil as a function of time is given by = (2t2 + t) Wb, then induced emf (magnitude) at t = 1 s will be ______ V

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Solution

The induced emf in a coil is given by Faraday's law of electromagnetic induction, which states that the induced emf is equal to the rate of change of magnetic flux.

The magnetic flux Φ is given by the function Φ = 2t² + t.

To find the rate of change of this function, we need to take its derivative with respect to time (t).

The derivative of Φ with respect to time is dΦ/dt = 4t + 1.

To find the induced emf at t = 1 s, we substitute t = 1 into the derivative function:

dΦ/dt = 4(1) + 1 = 5 V.

So, the magnitude of the induced emf at t = 1 s is 5 V.

This problem has been solved

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