Question
What is magnetic dipole moment? Write its Sl unit and dimensional formula.

Answer

The product of the current flowing in the coil and its area vector is called the magnetic dipole moment of the coil.
Let I be the current passing through the coil and area A , then its magnetic dipole moment $\vec{m}=I \vec{A}$
Suppose there are N turns in the coil and the current passing through each turn is I, then the magnetic dipole moment of the coil,
$\vec{m}= NI \overrightarrow{ A }$
The magnetic dipole moment is vector quantity and its direction is in the direction of area vector. The SI unit of dipole moment is $Am ^2$ and its dimensional formula is $M ^0 L^2 T^0 A^1$.

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