Single Choice

The dimensional formula for inductance is:

A$$[M^1L^2T^{-2}A^{-2}]$$
Correct Answer
B$$[M^1L^{2}TA^{-2}]$$
C$$[M^1L^2T^{-1}A^{-2}]$$
D$$[M^1L^1T^{-2}A^{-2}]$$

Solution

We know that energy stored in an inductor $$=\dfrac{1}{2}LI^2$$
Hence, dimensions of $$\dfrac{1}{2}LI^2$$ are that of energy.
$$\implies $$ Dimensions of $$\dfrac{1}{2}LI^2=[M^1L^2T^{-2}]$$
$$\implies $$ Dimensions of $$L=[M^1L^2T^{-2}A^{-2}]$$

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