Magnetic Field Due to Current Carrying Circular Coil

Description:

Magnetic field at the center

The distance between current element on the circular coil and the center is ‘r’ and the angle between current element and ‘r’ is 90^o.

By applying Biot Savart’s Law –

Here,

θ = 90^o

The complete circular coil is a combination of multiple current elements. So to find the resultant magnetic field due to all the current elements at the center we need to integrate dB.

Direction of magnetic field at the centre is outwards.