A conducting wire of length l is rotating with angular velocity w in a magnetic field B perpendicular to it. Prove that the induced e.m.f. at the two ends of the conducting wire is `e = 1/2 Bwl^2`.

A straight conductor of length 50 cm is moving with a velocity 5 m. s^(-1) in a magnetic field of strength 2T in a direction perpendicular to the field. What is the emf (in V) induced between the two ends of the conductor?

A long straight wire of length of length l is moving within a uniform magnetic field B With a velocity v perpendicular to the field . How much e.m.f. will induced?

A semicircular wire of radius r is rotating with angular velocity omega in a uniform magnetic field B with its radius as axis. If the resistance of the circuit be R and if the axis of rotation remains perpendicular to B, what will be the average power produced in each period?

A straight conductor 0.1 m long moves in a uniform magnetic field 0.1 T. The velocity of the conductor is 15 m/s and is directed perpendicular to the field. The emf induced between the two ends of the conductor is

A V-shaped conducting wire is moved with a speed of v in a magnetic field as shown in the fig. Magnetic field is perpendicular to the paper, directed inwards, then

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 conducting wire is bent in the form of an angle theta . The wire moves with velocity v along the bisector of angleA'OB' as shown in figure. Find the emf induced between the two ends of the wire if a magnetic field is acting perpendicular to the plane of the paper and directed into it.

A conducting wire of length 30 cm revolves 1000 times per minute about one of its ends and perpendicular to the direction of a magnetic field of 0.5 T. Determine the emf induced across the ends of the wire.

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 hanging wire of length L is elongated by an amount l with a load M attached to its free end. Prove that the elastic potential energy stored in the wire is 1/2Mgl .