Show mathematically that the rotation of a coll in a magnetic field over one rotation Induces an alternating emf of one cycle.

If a magnetic dipole of moment M situated in the direction of a magnetic field B is rotated by 180^@ then the amount of work done is

A 100 turn closely wound circular coil of radius 10 cm carries a current of 3.2 A. a. What is the field at the centre of the coil ? b. What is the magnetic moment of this coil ? The coil is placed in a vertical plane and is free to rotate about a horizontal axis which coincides with its diameter. A unifrom magnetic field of 2 T in the horizontal direction exists such that initially the axis of the coil is in the direction of the field. The coil rotates through an angle of 90^@ under the influence of the magnetic field . c. What are the magnitudes of the torques on the coil in the initial and final position ? d. What is the angular speed acqired by the coil when it has rotated by 90^(@) ? The moment of inertia of the coil is 0.1 kg m^2

A conducting circular loop of radius r is rotated about its diameter at a constant angular velocity omega in a magnetic field B perpendicular to the axis of rotation. In what position of the loop is the induced emf zero?

Consider the following statements: (a)An emf can be induced by moving a conductor in a magnetic field. (b)An emf can be induced by changing the magnetic field.

A coil of metal wire is stationary in a non - uniform magnetic field. Will any emf be induced in the coil?

Is it possible for a current loop to stay without rotating in a uniform magnetic field? If yes, what should be the orientation of the loop?

A square loop of edge a having n turns Is rotated with a uniform angular velocity omega about one of its diagonals which is kept fixed in a horizontal position . A uniform magnetic field B exists in the vertical direction. Find the emf induced in the coil.