Inductance L can be dimensionally represented | vedclass

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Question

(A) The energy $E$ stored in an inductor is given by the formula $E = \frac{1}{2} L i^2$. Rearranging for $L$,we get $L = \frac{2E}{i^2}$. The dimensi

Vedclass · Accepted Answer

$M L^2 T^{-2} A^{-2}$

Vedclass · Answer

(A) The energy $E$ stored in an inductor is given by the formula $E = \frac{1}{2} L i^2$. Rearranging for $L$,we get $L = \frac{2E}{i^2}$. The dimensional formula for energy $E$ is $[M L^2 T^{-2}]$. The dimensional formula for current $i$ is $[A]$. Substituting these into the expression for $L$: $L = \frac{[M L^2 T^{-2}]}{[A]^2} = [M L^2 T^{-2} A^{-2}]$. Thus,the correct option is $A$.

Inductance $L$ can be dimensionally represented as

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