Current Loop as a Magnetic Dipole and Its Magnetic Dipole Moment

In a hydrogen atom, an electron carrying charge 'e' revolves in an orbit of radius 'r' with speed 'v'. Obtain an expression for the magnitude of magnetic moment of a revolving electron.

Two wires of the same length are shaped into a square of side 'a' and a circle with radius 'r'. If they carry same current, the ratio of their magnetic moment is ______.

A square loop and a circular loop are formed from the same wire and the same current is passed through them. The ratio of their dipole moments is ______.

A current carrying loop is placed in a uniform magnetic field in four different orientations as shown in the figure. Arrange them in the decreasing order of potential energy.

(1)	(2)	(3)	(4)

A uniform conducting wire of length 12a and resistance ‘R’ is wound up as a current carrying coil in the shape of,

1. an equilateral triangle of side ‘a’.
2. a square of side ‘a’.

The magnetic dipole moments of the coil in each case respectively are :

A triangular loop of wire placed at abc is moved completely inside a magnetic field which is directed normal to the plane of the loop away from the reader to a new position a'b'c'. What is the direction of the current induced in the loop? Give reason.

A current loop placed in a magnetic field behaves like a ______

A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular loop will be: