91Ó°ÊÓ

The radius of circular wire loop is,.

The resistance of circular wire loop is, .

The uniform magnetic field inside the wire loop is, .

The relation between the magnetic field and time is, .

The magnetic flux inside the wire loop having magnetic field and radius is given by,

(b)

The formula for the emf generated in the loop due to magnetic flux is given by,

Solve further as:

The negative sign indicates the emf value is decreasing.

Also, the emf using Ohm’s law,

Then equating both values,

Hence, the current in the loop is .

(b)

Assume a small elemental region of radius inside the given inside the given region between points P and Q.

For a circle of radius , applying Faraday’s law for a closed area, the formula for the measured emf is given by,

In polar form,

Along the line from P to Q,

and ,

Then the voltage reading between points P and Q can be calculated as,

Hence, the voltmeter reading is .