Magnetic Field of a Magnetic Dipole (Small Bar Magnet)

Two small magnets are placed along a straight line at a distance of $20 \mathrm{cm}$ from each other and their north poles are facing each other. If their magnetic moments be $0.20$ and $0.40 {\mathrm{JT}}^{-1}$ then find the magnetic field at the middle-point between them.

The magnetic moment of a short bar-magnet is $4.0 {\mathrm{Am}}^2$. Find the magnetic field at $5.0 \mathrm{cm}$ from the centre of the magnet on its axis. If the magnetic field at a point situated on the equatorial line of this magnet be $0.05 \mathrm{T}$, then what is the distance of that point from the magnet?

Determine the expression for the magnetic field due to a short bar-magnet (magnetic dipole) at a point on the equatorial line of the dipole.

Determine the expression for the magnetic field due to a short bar-magnet (magnetic dipole) at a point on the axis.

Write an expression, explaining the meanings of symbols, for the magnitude of the magnetic field due to a small bar-magnet at a point in the broad-side-on position.

Write down the formula for the magnitude of the magnetic field due to a small bar-magnet at a point in the end-on position. Write the meanings of the symbols used.

Write an expression of magnetic field $\text{'}B\text{'}$ at a point in end-on position or an axial position of a magnetic dipole. (Derivation not required).