A closed loop conductor that forms a circle with a radius of 1 m is located in a uniform but changing magnetic field. If the maximum emf induced in the loop is 5 V, what is the maximum rate at which the magnetic field strength is changing if the magnetic field is oriented perpendicular to the plane in which the loop lies

1.59 Tesla per second

Explanation:

Given that

Radius of the conductor loop, r = 1 m,

Maximum induced emf to the loop, e = 5 V,

We take an assumption, we assume that the rate which the magnetic field is changing is dB / dt.

We then go ahead to apply Farady's law of electromagnetic induction

e = rate of change of magnetic flux

e = dФ /dt

e = A * dB / dt, on substituting we see that

A = πr²

A = π * 1²

A = π, plug in the value for A

5 = 3.14 * dB / dt

dB / dt = 5/3.142

dB / dt = 1.59 Tesla per second

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