Question

The electric field in a region is given by $\overrightarrow{E}=\left(\frac{A}{x^3}\right)\hat{i}$ Write suitable SI unit for A.Write an expression for the potential in the region assuming the potential at infinity to be zero.
$(V{m}^2,\frac{A}{2x^2})$

Answer 1

Electric field has SI unit of $\frac{v}{m}$
x has SI unit of
$\therefore$ A has SI unit of $\frac{v}{m}\times m^3=v{m}^2$
$V=\int \overrightarrow{E}.\overrightarrow{dx}=\int \frac{A}{x^3}dx=\frac{A}{2x^2}+C$ As V at x=0 is 200
$C=0$