Question

A solenoid of a radius R wound with n turns per unit length

carries a current given by I = I0e −βt, where t is the time and β > 0.

What are the magnitude and direction of the induced electric field just

outside the solenoid?

Step 1

The magnetic field due to solenoid is,

Step 2

From Faraday’s law, the magnitude of induced Electric field is related to the magnitude of change in magnetic flux as,

Step 3

Here, the integral is over the entire path which is of radius *r*. The radius *r *is g...

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