A small bar magnet has a magnetic moment 1.2 A ·m^2. The magnetic field at a distance 0.1 m on

step 1 As we know that B is inversely proportional to R. So B1 by B2 is equal to R2 by R1. Or I can wri

A small bar magnet has a magnetic moment 1.2 A ·m^2. The...

A small bar magnet has a magnetic moment $1.2 \mathrm{~A} \cdot \mathrm{m}^{2}$. The magnetic field at a distance $0.1 \mathrm{~m}$ on its axis will be tesla.
(a) $1.2 \times 10^{-4}$
(b) $2.4 \times 10^{-4}$
(c) $2.4 \times 10^{4}$
(d) $1.2 \times 10^{4}$

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Key Concepts

Magnetic Dipole Moment

The magnetic dipole moment is a measure of the strength and orientation of a magnet or current loop. It quantifies the ability of a magnetic source to produce a magnetic field and is fundamental in determining the behavior of magnetic dipoles in external fields.

Magnetic Field of a Dipole

The magnetic field produced by a dipole, such as a bar magnet, varies with position and is often calculated along specific axes using formulas derived from magnetic dipole theory. Along the axis of the dipole, the field strength can be determined by a formula that accounts for the dipole moment and the distance from the dipole.

Inverse Cube Law

In the context of a magnetic dipole, the strength of the magnetic field along the axis decreases with the cube of the distance from the dipole. This inverse cube relationship indicates that even small changes in distance can have a significant impact on the measured magnetic field.

Permeability of Free Space

The permeability of free space, often denoted by ?0, is a constant that appears in the equations describing magnetic fields in a vacuum. It sets the scale for the strength of the magnetic field generated by a given magnetic dipole moment and is crucial in the formulation of electromagnetic theory.

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