Magnetic Field on the Axis of a Circular Current Loop

A circular wire loop of radius $30 \mathrm{cm}$ carries a current of $3.5 \mathrm{A}$. Find the magnetic field at a point on its axis $40 \mathrm{cm}$ away from its centre.

Derive an expression for the magnetic dipole moment of a revolving electron.

Derive an expression for the magnetic induction at a point on the axis of a current carrying circular coil using Biot-Savart law.

Derive an expression for the magnetic induction at the centre of a current carrying circular coil using Biot-Savart law.

Write an expression for the magnetic induction at any point on the axis of a current-carrying coil. Hence, obtain an expression for the magnetic induction at the centre of the circular coil.