A wire of length L is bent to form a circular loop of number of turns n. The coil is placed in a magnetic field of induction B and a current is passed through the coil. What will be the maximum torque acting on the coil?

Options

A. `Ibl^(2)`
B. `zero`
C. `(Ibl^(2))/(4pin)`
D. `(4pin^(2))/(Ibl^(2))`

Answer

C

Explanation

`Radius r=L/(2pin) therefore Area =pir^(2)=(prL^(2))/(4pi^(2)n^(2))=L^(2)/(4pin^(2))` Maximum torque`=nIAB=nI((L^2B)/(4pin^(2)))=(BIL^(2))/(4pin)`.