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Find the dimensional formula of potential $V$ .

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$[{ML}^{2} T^{- 3} A^{- 1}]$

$[{ML}^{1} T^{- 3} A^{- 1}]$

$[{ML}^{1} T^{- 2} A^{- 1}]$

$[{ML}^{3} T^{- 3} A^{- 1}]$

answer is A.

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Detailed Solution

I the electric current, t the time and U the energy.

$U = V I t$

$∴ V = \frac{U}{I t} o r [V] = \frac{[U]}{[I] [t]} = \frac{[{ML}^{2} T^{- 2}]}{[A] [T]} = [{ML}^{2} T^{- 3} A^{- 1}]$

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