Physics Class 12 NCERT Solutions: Chapter 4 Moving Charges and Magnetism Part 1

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Magnetic field on the axis of a current loop

Magnetic Field on the Axis of a Current Loop

Magnetic field on the axis of a current loop

Q: 1. A circular coil of wire consisting of turns, each of radius carries a current of . What is the magnitude of the magnetic field B at the centre of the coil?

Answer:

Number of turns on the circular coil,

Radius of each turn,

Current flowing in the coil,

Magnitude of the magnetic field at the centre of the coil is given by the relation,

Where,

Permeability of free space

Hence, the magnitude of the magnetic field is .

Q: 2. A long straight wire carries a current of . What is the magnitude of the field B at a point from the wire?

Answer:

Current in the wire,

Distance of a point from the wire,

Magnitude of the magnetic field at this point is given as:

Where,

Permeability of free space

Hence, the magnitude of the magnetic field at a point 20 cm from the wire is .

Q: 3. A long straight wire in the horizontal plane carries a current of in north to south direction. Give the magnitude and direction of B at a point east of the wire.

Answer:

Current in the wire,

A point is away from the East of the wire.

Magnitude of the distance of the point from the wire, .

Magnitude of the magnetic field at that point is given by the relation,

Where,

Permeability of free space

The point is located normal to the wire length at a distance of . The direction of the current in the wire is vertically downward. Hence, according to the Maxwell’s right hand thumb rule, the direction of the magnetic field at the given point is vertically upward.

Q: 4. A horizontal overhead power line carries a current of in east to west direction. What is the magnitude and direction of the magnetic field due to the current below the line?

Answer:

Current in the power line,

Point is located below the power line at distance,

Hence, magnetic field at that point is given by the relation,

Where,

Permeability of free space

The current is flowing from East to West. The point is below the power line. Hence, according to Maxwell’s right hand thumb rule, the direction of the magnetic field is towards the South.

Q: 5. What is the magnitude of magnetic force per unit length on a wire carrying a current of and making an angle of 30º with the direction of a uniform magnetic field of ?

Answer:

Current in the wire,

Magnitude of the uniform magnetic field,

Angle between the wire and magnetic field, .

Magnetic force per unit length on the wire is given as:

Hence, the magnetic force per unit length on the wire is .