Question

A square loop of wire with side length s carries current I₁ and resides inside a solenoid with n turns per unit length. The solenoid carries current I₂. Find an expression for the magnitude of the maximum possible torque experienced by the square loop of wire. (Use any variable or symbol stated above along with the following as necessary: μ₀. Do not substitute numerical values; use variables only.)

T=?

Answer 1

$\tau =NIABsin\theta$

can be used to calculate torque (τ) of a loop of N turns and A area, carrying I current and in the presence of a magnetic field B.

N=1, I=I₁, A=s^{2} and because the torque is maximum theta is 90°.

I going to calculate B using ampere's law.

$B=\mu_onI_2$

then.

$\tau =I_1s^{2}\mu_onI_2$