Question

deduse the dimension formula of potential difference .
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Answer 1

The potential difference is the work done per unit charge.

[math]\Rightarrow \qquad[/math] The dimensional formula for potential difference is

[math]\qquad \frac{\textrm{dimension for work}}{\textrm{dimension for charge}}[/math]

[math]\qquad = \frac{\textrm{dimension for mass times acceleration times distance}}{\textrm{dimension for charge}}[/math]

[math]\qquad = \frac{M^1.L^1T^{-2}.L^1}{A^1T^1} = M^1L^2T^{-3}A^{-1}.[/math]