## The magnetic moment vectors μs and μI associated with the intrinsic spin angular momentum S and orbital angular momentum l, respectively, of an electron are predicted by quantum theory (and verified experimentally to a high accuracy) to be given by:

The magnetic moment vectors μs and μI associated with the intrinsic spin angular momentum S and orbital angular momentum l, respectively, of an electron are predicted by quantum theory (and verified experimentally to a high accuracy) to be given by:

## A Rowland ring of mean radius 15 cm 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetizing current of 1.2 A?

A Rowland ring of mean radius 15 cm 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetizing current of 1.2 A?

## A sample of paramagnetic salt contains  2.0× 1024 atomic dipoles each of dipole moment  1.5 ×10-23  J T-1 . The sample is placed under a homogeneous magnetic field of 0.64 T, and cooled to a temperature of 4.2 K. The degree of magnetic saturation achieved is equal to 15%. What is the total dipole moment of the sample for a magnetic field of 0.98 T and a temperature of 2.8 K? (Assume Curie’s law)

A sample of paramagnetic salt contains  2.0× 1024 atomic dipoles each of dipole moment  1.5 ×10-23  J T-1 . The sample is placed under a homogeneous magnetic field of 0.64 T, and cooled to a temperature of 4.2 K. The degree of Read More …

## A monoenergetic (18 keV) electron beam initially in the horizontal direction is subjected to a horizontal magnetic field of 0.04 G normal to the initial direction. Estimate the up or down deflection of the beam over a distance of 30 cm( me = 9.11 ×10-19 C ) . [Note: Data in this exercise are so chosen that the answer will give you an idea of the effect of earth’s magnetic field on the motion of the electron beam from the electron gun to the screen in a TV set.]

A monoenergetic (18 keV) electron beam initially in the horizontal direction is subjected to a horizontal magnetic field of 0.04 G normal to the initial direction. Estimate the up or down deflection of the beam over a distance of 30 cm( me = 9.11 Read More …

## A magnetic dipole is under the influence of two magnetic fields. The angle between the field directions is 60° , and one of the fields has a magnitude of  1.2× 10-2 T  . If the dipole comes to stable equilibrium at an angle of 15°with this field, what is the magnitude of the other field?

A magnetic dipole is under the influence of two magnetic fields. The angle between the field directions is 60° , and one of the fields has a magnitude of  1.2× 10-2 T  . If the dipole comes to stable equilibrium at an Read More …

## A compass needle free to turn in a horizontal plane is placed at the centre of circular coil of 30 turns and radius 12 cm. The coil is in a vertical plane making an angle of 45 with the magnetic meridian. When the current in the coil is 0.35 A, the needle points west to east.

A compass needle free to turn in a horizontal plane is placed at the centre of circular coil of 30 turns and radius 12 cm. The coil is in a vertical plane making an angle of 45 with the magnetic meridian. When Read More …

## A telephone cable at a place has four long straight horizontal wires carrying a current of 1.0 A in the same direction east to west. The earth’s magnetic field at the place is 0.39 G, and the angle of dip is 35° . The magnetic declination is nearly zero. What are the resultant magnetic fields at points 4.0 cm below the cable?

A telephone cable at a place has four long straight horizontal wires carrying a current of 1.0 A in the same direction east to west. The earth’s magnetic field at the place is 0.39 G, and the angle of dip is 35° Read More …

## A long straight horizontal cable carries a current of 2.5 A in the direction 10° south of west to 10° north of east. The magnetic meridian of the place happens to be 10° west of the geographic meridian. The earth’s magnetic field at the location is 0.33 G, and the angle of dip is zero. Locate the line of neutral points (ignore the thickness of the cable). (At neutral points, magnetic field due to a current-carrying cable is equal and opposite to the horizontal component of earth’s magnetic field.)

A long straight horizontal cable carries a current of 2.5 A in the direction 10° south of west to 10° north of east. The magnetic meridian of the place happens to be 10° west of the geographic meridian. The earth’s magnetic field Read More …

## Answer the following questions: (a) Explain qualitatively on the basis of domain picture the irreversibility in the magnetization curve of a ferromagnet.

Answer the following questions: (a) Explain qualitatively on the basis of domain picture the irreversibility in the magnetization curve of a ferromagnet. (b) The hysteresis loop of a soft iron piece has a much smaller area than that of a carbon Read More …

## Answer the following questions: (a) Why does a paramagnetic sample display greater magnetization (for the same magnetizing field) when cooled? (b) Why is diamagnetism, in contrast, almost independent of temperature?

Answer the following questions: (a) Why does a paramagnetic sample display greater magnetization (for the same magnetizing field) when cooled? (b) Why is diamagnetism, in contrast, almost independent of temperature? (c) If a toroid used bismuth for its core, will the Read More …

## A short bar magnet of magnetic moment  5.25× 10-2 J T-1 is placed with its axis perpendicular to the earth’s field direction. At what distance from the centre of the magnet, the resultant field is inclined at 45° with earth’s field on (a) Its normal bisector and (b) its axis. Magnitude of the earth’s field at the place is given to be 0.42 G. Ignore the length of the magnet in comparison to the distances involved.

A short bar magnet of magnetic moment  5.25× 10-2 J T-1 is placed with its axis perpendicular to the earth’s field direction. At what distance from the centre of the magnet, the resultant field is inclined at 45° with earth’s field on Read More …

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