On a smooth inclined plane at `30^@` with the horizontal a thin current carrying metallic rod is placed parallel to the horizontal ground. The plane is located in a uniform magnetic field of` 0.15`tesla in the vertical direction. For what value of current can the rod ramain stationary? The mass per unit length of rod is `0.30kgm^-1.`

A current carrying ciruclar loop lies on a smooth horizontal plane. Can a uniform magnetic field be set up in such a manner that the loop turns around itself (i.e. turns about the vertical axis).

A straight conductor carries a current of 1.5 A and is 2 m long, is placed in a uniform magnetic field of 0.15 T. Find the force on it, when it is inclined at an angle at 30^@

What is the magnitude of magnetic force per unit length on a wire carrying a current of 8 A and making an angle of 30^@ with the direction of a uniform magnetic field of 0.15 T?

A conducting rod of 1 m length is rotated with a frequency of 50 rev/s, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius 1 m, about an axis passing through the centre and perpendicular to the plane of the ring. A constant and uniform magnetic field of 1 T parallel to the axis is present everywhere. What is the emf between the centre and the metallic ring?

A solenoid 60 cm long and of radius 4.0 cm has 3 layers of windings of 300 turns each. A 2.0 cm long wire of mass 2.5 g lies inside the solenoid (near its centre) normal to its axis, both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of 6.0 A in the wire. What value of current (with appropriate sense of circulation) in the windings of the solenoid can support the weight of the wire? g = 9.8 m s^-2 .

A metal rod of length 1 m is rotated about one of its ends in a plane at right angles to a uniform magneic field of 2.5 xx 10^-3 Wb m^-2 . If its makes 30 r.p.s. Calculate the induced e.m.f. between its ends.

A circular coil of 100 turns radius 10cm, carries a current of 5A. It is suspended vertically in a uniform horizontal magnetic field of 0.5T and the field lines make an angle of 60^(@) with the plane of the coil. The magnitude of the torque that must be applied on it to prevent it from turning.

A circular coilof radius 0.157 m has 50 number of turns. It is placed such that its axis is in magnetic meridian. A dip needle is supported at the centre of the coil with its axis of rotation horizontal, and in the plane of the coil. The angle of dip is 30^(@) when a current flows through the coil. The angle of dip becomes 60^(@) on reversing the current. Find the current in the coil assuming that the magnetic field due to the coil is smaller than the horizontal component of earth's magnetic field, H =3xx10^(-5) T.