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Question

Physics Question on Magnetic properties of materials

The magnetic moment has dimensions of:

A

[LA][LA]

B

[L2A][L^2A]

C

[LT1A][LT^{-1}A]

D

[L2T1A][L^2T^{-1}A]

Answer

[L2A][L^2A]

Explanation

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, M=IA\vec{ M }=I \vec{ A } Thus, dimensions of M=[A][L2]M=[ A ]\left[ L ^{2}\right] =[L2A]=[L^2A]