A conducting rod of length `L` with one end pivoted is rotated with a uniform angular speed `omega` in a vertical plane, normal to a uniform magnetic field B. Deduce an expression for the emf induced in this rod.

A rectangular coil of N turns and area of cross section A is held in a magnetic field B=B_0 sin omega t. Deduce an expression for the emf induced in the coil.

A bar of length l carrying a small mass m at one of its ends rotates with a uniform angular speed omega in a vertical plane about the mid-point of the bar. During the rotation, at some instant of time when the bar is horizontal, the mass is detached from the bar but the bar continues to rotate with same omega . The mass moves vertically up, comes back and reaches the bar at the same point. At that place, the acceleration due to gravity is g.

A circular metalic disc of radius a is rotating with a uniform angular velocity (w) perpendicularly to the uniform magnetic field vecB . The potential difference between the centre and the rim of the disc is—

A uniform rod of length L pivoted at one end P is freely rotated in a horizontal plane with an angular velocity omega about a vertical axis passing through P. If the temperature of the system is increased by Delta T , angular velocity becomes omega/2 . If coefficient of linear expansion of the rod is alpha (altlt1) , then DeltaT will be

Two particles , each of mass m and charge q , are kept at the two ends of a light rod of length 2l and is rotated with a uniform angular velocity about the vertical axis passing through the centre of the rod . Determine the ratio of the magnetic moment and the angular momentum of the combination with respect to the centre of the rod .

A rod of length l is moved horizontally with a uniform velocity v in a direction perpendicular to its length through a region in which a uniform magnetic field is acting vertically downward. Derive an expression for the emf induced across the ends of the rod.

A conducting loop in the form of a circle is placed in a uniform magnetic field with its plane perpendicular to the direction of the field. An emf will be induced in the loop if

A metal rod of length 1 m is rotated about one of its ends in a plane at right angles to a uniform magnetic field of 2.5xx10^(-3)(Wb)/m^2 . If itmakes 30rps, calculate the induced emf between its ends.