Arectangular loop of area a is placed in a region where the magnetic field is perpendicular to the plane of the loop. the magnitude of the field is allowed to vary in time according to b = bmax e-t/τ , where bmax and τ are constants. the field has the constant value bmax for t < 0. find the emf induced in the loop as a function of time. (use the following as necessary: a, bmax, t, and τ.) g

Induced emf,

Explanation:

The varying magnetic field with time t is given by according to equation as :

Where

are constant

Let is the emf induced in the loop as a function of time. We know that the rate of change of magnetic flux is equal to the induced emf as:

So, the induced emf in the loop as a function of time is . Hence, this is the required solution.

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