Answer
$ 1V/m=1N/C$
Work Step by Step
Potential Difference is given by
$V= Ed$ or $E=\frac{V}{d}$
Units are as follows:
$E=\frac{V}{d}=\frac{V}{m}$ ... (1)
The force exerted by a charge placed in the electric field is given as $F=qE$
or
$E= \frac{F}{q}$
Units are ase follows:
$E= \frac{F}{q}=\frac{N}{C}$... (2)
From equations (1) and (2), we have
$\frac{V}{m}=\frac{N}{C}$
Hence, $ 1V/m=1N/C$
