The dimensional formula of self-inductance is | vedclass

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Question

(A) The formula for self-inductance $L$ is given by $L = \frac{\varepsilon dt}{dI}$.Here,$\varepsilon$ is the induced electromotive force $(EMF)$,whic

Vedclass · Accepted Answer

$M^1 L^2 T^{-2} A^{-2}$

Vedclass · Answer

(A) The formula for self-inductance $L$ is given by $L = \frac{\varepsilon dt}{dI}$.Here,$\varepsilon$ is the induced electromotive force $(EMF)$,which has dimensions $[M^1 L^2 T^{-3} A^{-1}]$.$dt$ is the time interval with dimensions $[T^1]$.$dI$ is the change in current with dimensions $[A^1]$.Substituting these dimensions into the formula:$L = \frac{[M^1 L^2 T^{-3} A^{-1}] \cdot [T^1]}{[A^1]}$$L = [M^1 L^2 T^{-2} A^{-2}]$.Therefore,the correct option is $A$.

The dimensional formula of self-inductance is . . . . . . .

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