The rectangular loop shown below, carrying the current I, is located in a unifor

Question

The rectangular loop shown below, carrying the current I, is located in a uniform magnetic field of 0.40 T pointing in the positive y direction.

What is the magnitude of the magnetic dipole moment of the loop? Use the following data: h = 8.0 cm, w = 4.0 cm, ? = 38.5, I = 7.5 A.

Calculate the magnitude of the torque about the z-axis on the loop.

Please show all work and explain your methods.

The rectangular loop shown below, carrying the current I, is located in a uniform magnetic field of 0.40 T pointing in the positive y direction. What is the magnitude of the magnetic dipole moment of the loop? Use the following data: h = 8.0 cm, w = 4.0 cm, ? = 38.5, I = 7.5 A. Calculate the magnitude of the torque about the z-axis on the loop. Please show all work and explain your methods.

Explanation / Answer

So The magnetic dipole moment = I*A (It is a vector pointing in the direction of A)

So here ? = 7.5 A*(0.080m*0.04m) = 0.0240 A-m^2

The torque = ?*B*sin(?) here ? is the angle between the magnetic field and the moment which
= 180-38.5 = 141.5

Torque = 0.0240*0.40*sin(141.5) = 5.976x10^-3 N-m = 0.5976x10^-2 N-m

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