A long piece of wire with a mass of 0.195 kg and total length of 4.00 m is used

Question

A long piece of wire with a mass of 0.195 kg and total length of 4.00 m is used to make a square coil with a side of 0.100 m. The coil is hinged along a horizontal side, carries a 3.64 A current, and is placed in a vertical magnetic field with a magnitude of 0.0100 T.

(a) Determine the angle that the plane of the coil makes with the vertical when the coil is in equilibrium.
___________1 ° with the vertical

(b) Find the torque acting on the coil due to the magnetic force at equilibrium.
___________2 N · m

Explanation / Answer

A)

theta = atan(n*i*B*2*l/m*g) =

n is the no.of turns = 4/(0.1*4) = 10

theta = atan(10*3.64*0.01*2*0.1/(0.195*9.81)) = 2.17 degrees

B) TB = n*I*B*l^2*cos(2.17) = 3.63 *10^-3 N-m

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