Question

What are the units of magnetic moments and magnetic induction?

Answer 1

Hint: To get the solution of this question, we should know the definition of both the terms and the formula related to it so that we can find out the units. Units can be found if we know the factors on which the terms magnetic moments and magnetic induction depends. Using the units of the factors on which this term depends, we can deduce the units for the terms asked.

Complete Step-by-Step solution:
The magnetic moment of a magnet is a quantity that determines the force that the magnet can exert on electric currents and the torque that a magnetic field will exert on it. A loop of electric current, a bar magnet, an electron, a molecule, and a planet all have magnetic moments.
The formula used to calculate magnetic moments is given below: -
Magnetic Moments, $\mu =IA$
where,
$A$ is the area of the coil, and
$I$ is the current flowing in it.
Thus, the unit of magnetic moment is $A{{m}^{2}}$.
Magnetic Induction is the production of an electromotive force across an electrical conductor in a changing magnetic field. Magnetic Induction is measured in Gauss or Tesla.

So, the unit of magnetic induction is $G$ or $T$ or $Wb/{{m}^{2}}$.

Note:
This is a basic question related to the concept of electromagnetism. If the definition and formula of the terms are clear, then deducing the SI unit becomes easy. For some terms SI units can be deduced from the formula, but for some terms it is mandatory to remember the SI units. In this question, the SI unit for magnetic moment can be deduced from its formula but for magnetic induction we should know the SI unit.