Question

The dimensional formula for electric potential is

• A. $\left[M{L}^2{T}^{-3}{A}^{-1}\right]$
• B. $\left[ML{T}^{-3}{A}^{-1}\right]$
• C. $\left[M{L}^2{T}^{-3}{K}^{-1}\right]$
• D. none of these

Answer 1

Answer: (A)

$\left[M{L}^2{T}^{-3}{A}^{-1}\right]$

Electric potential, $V=IR$

We know work done in moving a charge from one point to another $=qV$.

$W=qV$ $\Rightarrow$ $V=\frac{W}{q}$

or, $dim\left(V\right)=\frac{{ML}^2{T}^{-2}}{AT}=\left[{ML}^2{T}^{-3}{A}^{-1}\right]$