Question

The magnetic moment has dimensions of

• A. $[LA]$
• B. $[L^2 \, A ]$
• C. $[ LT^{ - 1} \, A ]$
• D. $[ L^2 T^{ - 1} \, A ]$

Answer 1

Answer: (B)

$[L^2 \, A ]$

Answer 2

Magnetic moment of a current carrying coil is defined as the product of current in the coil with the area of coil in vector form.
That is, $\vec{M}=I \vec{A}$
Thus, dimensions of $M =[ A ]\left[ L ^{2}\right]$
$=\left[ L ^{2} A \right]$