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A coil in the shape of an equilateral tr...

A coil in the shape of an equilateral triangle of side l is suspended between the pole pieces of a permanent magnet such that`vec B ` is in the plane of the coil. If due to a current i in the triangle a torque `tau` acts on it, the side l of the triangle is

A

`(2)/(sqrt3) ((tau)/(Bi))^(1/2)`

B

`(2)/(3) ((tau)/(Bi))`

C

`2((tau)/(sqrt3 Bi))^(1/2)`

D

`(1)/(sqrt3) ((tau)/(Bi))`

Text Solution

Verified by Experts

The correct Answer is:
C
`tau = mB sin theta = iAB sin 90^(@)`
`A = (sqrt3)/(4)""i^(2)`
`therefore tau = (sqrt3)/(4) ""l^(2) iB`
`therefore l = 2 (( r)/(sqrt3 Bi))^(1/2)`
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