Question

The magnetic induction at the centre of current carrying coil of radius r is

Answer 1

Answer:

Consider a circular current carrying coil having radius r and centre O. When the current is passing through the circular coil, magnetic field is produced. To find the magnetic field at the centre of the circular coil, consider a length of element dl at point p which is tangent to the circular coil. The angle between element dl and radius r is 90°.

According to the biot-savart law, the magnetic field at the centre of the circular coil due to element dl is

Magnetic field along the Centre of circular current carrying coil

Total magnetic field due to the circular coil is

Magnetic field along the Centre of circular current carrying coil

if there are n number of circular coil then their magnetic field is

Magnetic field along the Centre of circular current carrying coil

Explanation:

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