What is the dimensional formula of Inductance?

[M L^{2} T^{- 2} A^{- 2}]

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[M L^{2} T A^{- 2}]

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

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

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Solution

The correct option is B $[M L^{2} T^{- 2} A^{- 2}]$
We have the formula for inductance as,

$L = \frac{V}{\frac{d I}{d t}}$

Hence, dimensional formula for inductance is $[L] = [\frac{M L^{2} T^{- 3} A^{- 1}}{A T^{- 1}}] = [M L^{2} T^{- 2} A^{- 2}]$

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