Question

If M is magnetic moment and B is the magnetic field, then the torque is given by:
A. M.B
B. |M|/|B|
C. M×B
D. |M||B|

Answer 1

Hint:Whenever a bar magnet is placed in a constant magnetic field, it experiences a couple force that produces torque but no translation motion. The force is not acting along a common path of action, resulting in torque but no net force.

Complete answer:
Assume a loop that carries a current with magnitude I. When we put this loop in a magnetic field, it generates torque but no net force, just like an electric dipole in a homogeneous electric field.
In the given question, we have been provided with value of Magnetic moment and the magnetic field
Magnetic moment of the given loop= M
Magnitude of the magnetic field= B
We can define a magnetic moment as a field that demonstrates the magnetic impact on magnetic materials, circulating charges, and electric currents.
The Magnetic Moment of Torque on Loop
The magnetic moment of a loop may be calculated by multiplying the current flowing through the loop by the area of the rectangular loop. Mathematically,
$M=IA$
The magnitude of A is equivalent to the area of the rectangular loop, and the direction is provided by the right-hand thumb principle. The torque exerted on a current carrying circuit placed in a magnetic field may be described by the vector multiplication of the magnetic moment and the magnetic field.
Therefore,$\tau =M\times B$.



Note:
In order to answer these problems, we must first grasp the notion of magnetic field and how it affects the current carrying coil. We must understand the idea of torque and how it is affected by magnetic moments.