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A wire bent in the shape of a regular n-...

A wire bent in the shape of a regular n-polygonal loop carries a steady current I. Let `l` be the perpendicular distance of a given segment and R be the distance of vertex both from the centre of the loop. The magnitude of the magnetic field at the centre of the loop is given by -

A

`(n mu_(0) I)/(2pi l) "sin " (pi//n)`

B

`(n mu_(0) )/(2pi) (I)/( R) ""sin (pi //n)`

C

`(n mu_(0))/(2pi) (I)/(l) ""cos (pi//n)`

D

`(nmu_(0) I)/(2pi R) ""cos (pi //n)`

Text Solution

Verified by Experts

The correct Answer is:
A
`B = (mu_(0) I)/(4pi l) xx 2 sin theta " "` [ where `2 theta = (2pi)/(n)`]
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