Write Biot Savart expression for the magnetic field due to a current element in vector form.

State the Biot-Savart's law for the magnetic field due to a current carrying element. Use this law to obtain a formula for magnetic field at athe centre of circular loop of radius r carrying steady current I . Sketch the magnetic field lines for a current loop clearly indicating the direction of the field.

Derive an expression for the magnetic field.at the centre of a current carrying coil.

Using Biot Savart’s law derive an expression for the magnetic field due to a circular current carrying loop at any point on its axis.

A straight wire of length L is bent into a semicicular loop. Use Biot-savart law to deduce the expression for the magnetic field at its centre due to current I passing thorugh it.