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In: Physics

Write out the “brute-force” (exact) expressions for force and torque on a loop 1 in the...

Write out the “brute-force” (exact) expressions for force and torque on a loop 1 in the magnetic field B of loop 2. Write these expressions using magnetic moment of loop 1. Pay attention to the r, r’, … vectors. A magnet (magnetic dipole) tends to align itself parallel to external field. If the magnetic moment is 5 [CGS units] in -z direction and magnetic field is 25 [CGS units] in z direction. What is the value of the torque? Plot the value of the torque as a function of the angle between the m and B vectors.

Solutions

Expert Solution

Hi,

Hope you are doing well.

We know that Torque on a magnet(magnetic dipole) placed in uniform magnetic field is given by,

Where,

is the magnetic moment (Bi-cm²).

is the magnetic field (G).

is the angle between magnetic moment and magnetic field .

Given that,

Magnetic Moment, along -z axis.

Magnetic field, along z axis.

Since the magnetic moment and magnetic field are in opposite direction, Angle between them,

Torque on a magnet(magnetic dipole) placed in uniform magnetic field is given by,

Hope this helped for your studies. Keep learning. Have a good day.

Feel free to clear any doubts at the comment section.

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Thank you. :)

genius_generous answered 1 year ago

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