Question

What is the dimension formula of the potential gradient?

Answer 1

Step 1: Definition

Throughout a power system, the potential gradient would be defined as the rate of change throughout electric potential with regard to the distances from the electrical structure's base. The earth electrode's resistance is dispersed throughout the soil rather than concentrated around one location.

Formula: $\mathrm{Gradient}=\frac{\mathrm{Change}\mathrm{in}\mathrm{Potential}\mathrm{energy}}{\mathrm{Change}\mathrm{in}\mathrm{position}\mathrm{point}}$

Step 2: Dimensional formula

$\mathrm{Gradient}=\frac{\mathrm{energy}}{\mathrm{length}}=\left[\frac{{\mathrm{ML}}^2{\mathrm{T}}^{-2}}{\mathrm{L}}\right]=[{\mathrm{MLT}}^{-2}]$

Therefore, the dimension formula of the potential gradient will be $\left[{\mathrm{MLT}}^{-2}\right]$.