Home
Class 12
PHYSICS
In the following figure a wire bent in t...

In the following figure a wire bent in the form of a regular polygon of `n` sides is inscribed in a circle of radius `a`. Net magnetic field at centre will be

A

`(mu_(0) i)/(2pi a) "tan" (pi)/(n)`

B

`(mu_(0) n i)/(2pi a) "tan" (pi)/(n)`

C

`(2)/(pi) ("ni")/(a) mu tan "" (pi)/(n)`

D

`("ni")/(2a) mu_(0) "tan" (pi)/(n)`

Text Solution

Verified by Experts

The correct Answer is:
B
`B_(1) = (mu_(0))/(4pi ) * (i)/( r) (sin theta + sin theta)`
`implies (mu_(0))/(2pi) (2i sin theta)/(r )`
`B_(1) = (mu_(0) i)/(2pi a) tan theta " "`[ as r = `a cos theta`]
`B_("net") = (n mu_(0) i)/(2pi a) "tan" (pi)/(n)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A current I flows through a thin wire shaped as regular polygon of n sides which can be inscribed in a circle of radius R. The magnetic fidl induction at the center of polygon due to one side of the polygon is

. Find the length of the side of a regular hexagon inscribed in a circle of radius r meters

If a thin wire of length L is given the shape of a regular polygon of n sides and current I flows through it, what will be the net magnetic field at the centre of the polygon if n is infinity?

If a twelve sides regular polygon is inscribed in a circle of radius 3 centimeters,then the length of each side of the polygon is

A polygon of nine sides,each side of length 2 is inscribed in a circle.The radius of the circle is

A wire of length l, carrying current i, is bent in circle of radius r, then magnetic momennt at centre of loop is

If a regular polygon of n sides has circum radius R and inradius r then each side of polygon is:

A regular polygon of 9 sides where length of each side is 2 is inscribed in a circle.Then the radius of the circle is

If R is the radius of circumscribing circle of a regular polygon of n-sides,then R =

If r is the radius of inscribed circle of a regular polygon of n-sides ,then r is equal to