A rectangular conductor MNPQ with a movable arm MN (resistance r) is kept in a uniform magnenc neld as shown in the figure. Resistance of arms MQ, QP and PN are negligible. Obtain the expression for the
(a) current induced in the loop specifying its direction, and
(b) power required to move the arm

The figure shows arectangular conducting frame MNOP of resistance R placed partly in a perpendicular magnetic field vecB and moved with velocity vecV as shown in the figure. Obtain the expressions for the (a) force acting on the arm 'ON' and its direction, and (b) power required to move the frame to get a steady emf induced between the arms MN and PO.

Figure shows a rectangular loop conducting PQRS in which the arm PQ is free to move. A uniform magnetic field acts in the direction perpendicular to the plane of the loop. Arm PQ is moved with a valocity v towards the arm RS. Assuming that the arms QR, RS and SP have negligible resistances and the moving arm PQ has the resistance r, obtain the expression for (i) the current in the loop (ii) the force and (iii) the power required to move the arm PQ.

A rectangular current carrying loop PQRS is kept in a uniform magnetic field as shown in the figure. (a) What is the direction of magnetic moment of the current loop? (b) When is the torque acting on the loop (i) maximum, (ii) zero?

A circular brass loop of radius a and resistance R is placed with it plane perpendicular to a magnetic field, which varies with time as B = B_(0) sin omega t . Obtain the expression for the induced current in the loop.

Fig. shows a rectangular conducting loop PQSR in which arm RS of length l is movalbe. The loop is kept in a uniform magnetic field B directed downwards perpendicular to the plane of the loop. The arem RS is moved with a uniform speed v. Deduce an expression for (i) the emf induced across the are RS. (ii) the external force required to move the arm, and (iii) the power dissipated as heat.

A long straight wire carries a current I_(0) . At distances a and b from it there are two other wires, parallel to the former one, which are interconnected by a resistance R (Fig). A connector slides without friction along the wires with a constant velocity v . Assuming the resistances of the wires, the conductor, the sliding contacts, and the self-inductance of the frame to be negligable, find: (a) the magnitude and the direction of the current induced in the connector, (b) the force required to maintain the connector's velocity constant.

A plane loop shown in figure-5.71 is shaped in the from of two squares with sides a and b and it is introduced into a uniform magnetic field at right angles, to the loop's plane. The magnetic induction varies with time as B=B_(0) sin omega t. find the amplitude of the current induced in the loop if its resistance per unit length is equal to r. the induction of the loop is negligible.