Question

The magnetic field due to a small magnetic dipole of dipole moment ‘M’ at a distance ‘r’ from the centre along the axis of the dipole is given by ______.

Options

• `mu_0/(4 pi) xx (2 M)/r^3`

• `mu_0/(4 pi) xx M/r^3`

• `mu_0/(4 pi) xx M/(2r^3)`

• `mu_0/(4 pi) xx (2 M)/r^2`

Answer 1

The magnetic field due to a small magnetic dipole of dipole moment ‘M’ at a distance ‘r’ from the centre along the axis of the dipole is given by `bbunderline(mu_0/(4 pi) xx (2 M)/r^3)`.

Explanation:

The magnetic field B produced by a tiny magnetic dipole with a dipole moment M at a location situated along the dipole’s axis (i.e., on the axis of symmetry) at a distance r from the dipole’s center is expressed by the formula:

B = `(mu_0)/(4 pi) * (2 M)/r^3`