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Q. The magnetic moment has dimensions of

Jharkhand CECEJharkhand CECE 2007Physical World, Units and Measurements

Solution:

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 $M =[ A ]\left[ L ^{2}\right]$
$=\left[ L ^{2} A \right]$