In: Physics
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.
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We know that Torque on a magnet(magnetic dipole) placed in uniform magnetic field is given by,
or
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,
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