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A circular coil of closely wound N terns...

A circular coil of closely wound N terns and radius r carriers a current I.
Write the expressions for the following :
(i) the magnetic field at its centre
(ii) the magnetic moment of this coil

Text Solution

Verified by Experts

(i) At centre `B_(C)=(mu_(0)Ni)/(2r).`
Here, current in the coil is anticlockwise and the direction of magnetic field is perpendicular to the plane of coil upward, but if the current in the coil is clockwise, then the direction of magnetic field will be perpendicular to the plane of coil downward.
(ii) The magnetic field due to a circular coil of radius r, carrying current I at its centre is
`B=(mu_(0) I)/(2r)`
The direction of magnetic field is perpendicular to plane of coil, directed outward if current is anticlock wise and inward if current is clockwise.
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