Question

Unit of $\frac{CV}{\rho {\epsilon }_0}$ is equivalent to that of ($C=$ capacitance, $V=$ potential, $\rho$ = specific resistance and ${\epsilon }_0$ = permittivity of free space)

• A. charge
• B. current
• C. time
• D. frequency

Answer 1

Answer: (B)

$C=\frac{{\epsilon }_{0}A}{d}$ and $\rho =\frac{RA}{\ell }$

Substituting in$\frac{CV}{\rho {\epsilon }_0}$ we get

$\frac{CV}{\rho {\epsilon }_0}=\frac{\left(\frac{{\epsilon }_{0}A}{d}\right)\left(V\right)}{\left(R\frac{A}{\ell }\right){\epsilon }_0}\equiv \frac{V}{R}\equiv$ current