Question

what is the dimensional formula of potential gradient?

Answer 1

The potential gradient is given as:
$$\begin{gathered} Potentialgradient=\frac{dV}{dx}=-E \\ Therefore,thedimensionoftheelectricfieldwillbethedimensionofpotentialgradient. \\ E=\frac{F}{q} \\ \left[E\right]=\frac{ML{T}^{-2}}{AT}=ML{T}^{-3}{A}^{-1} \\ Therefore,thedimensionalformulaofpotentialgradientis\left[ML{T}^{-3}{A}^{-1}\right]. \end{gathered}$$