There is a uniform magnetic field directed perpendicular and into the plane of the paper. An irregular shaped conducting loop is slowly changing into a circular loop in the plane of the paper. Then

Space is divided by the line AD into two regions. Region I is field free and the Region II has a unifrom magnetic field B direction into the plane of the paper. ACD is a simicircular conducting loop of radius r with center at O, hte plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity omega about an axis passing through O and the perpendicular to the plane of the paper. The effective resistance of the loop is R. (i) obtain an expression for hte magnitude of the induced cureent in the loop. (ii) Show the direction of the current when the loop is entering into the Rigion II. Plot a graph between the induced e.m.f and the time of roation for two periods or rotation.

Space is divided by the line AD into two regions. Region I is field free and the Region II has a unifrom magnetic field B direction into the plane of the paper. ACD is a simicircular conducting loop of radius r with center at O, hte plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity omega about an axis passing through O and the perpendicular to the plane of the paper. The effective resistance of the loop is R. (i) obtain an expression for hte magnitude of the induced cureent in the loop. (ii) Show the direction of the current when the loop is entering into the Rigion II. Plot a graph between the induced e.m.f and the time of roation for two periods or rotation.

Space is divided by the line AD into two regions. Region I is field free and the Region II has a unifrom magnetic field B direction into the plane of the paper. ACD is a simicircular conducting loop of radius r with center at O, hte plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity omega about an axis passing through O and the perpendicular to the plane of the paper. The effective resistance of the loop is R. (i) obtain an expression for hte magnitude of the induced cureent in the loop. (ii) Show the direction of the current when the loop is entering into the Rigion II. Plot a graph between the induced e.m.f and the time of roation for two periods or rotation.

The counductor AD moves to the right in a uniform magnetic field directed into the plane of the paper.

The counductor AD moves to the right in a uniform magnetic field directed into the plane of the paper.

A space is divided by the line AD into two regions. Region I is field free and the region II has a uniform magnetic field B directed into the paper. ACD is a semicircular conducting loop of radius r with centre at O, the plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity  about an axis passing through O, and perpendicular to the plane of the paper in the clockwise direction. The effective resistance of the loop is R. Show the direction of the current when the loop is entering into the region II.

A space is divided by the line AD into two regions. Region I is field free and the region II has a uniform magnetic field B directed into the paper. ACD is a semicircular conducting loop of radius r with centre at O, the plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity  about an axis passing through O, and perpendicular to the plane of the paper in the clockwise direction. The effective resistance of the loop is R. Obtain an expression for the magnitude of the induced current in the loop.

A space is divided by the line AD into two regions. Region I is field free and the region II has a uniform magnetic field B directed into the paper. ACD is a semicircular conducting loop of radius r with centre at O, the plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity  about an axis passing through O, and perpendicular to the plane of the paper in the clockwise direction. The effective resistance of the loop is R. Plot a graph between the induced emf and the time of rotation for two periods of rotation.

An irregular shaped wire PQRS placed in a uniform magnetic field perpendicular to the plane of the paper changes into a circular shape. What will be the direction of the induced current in the loop.