Question

Unit of $\frac{CV}{\rho\varepsilon_{0}}$ is equivalent to that of ($C =$ capacitance, $V =$ potential, $\rho$ = specific resistance and $\varepsilon_{0}$ = permittivity of free space)

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

Answer 1

Answer: (B)

$C=\frac{\varepsilon_{0}A}{d}$ and $\rho=\frac{RA}{\ell}$
Substituting in$\frac{CV}{\rho\varepsilon_{0}}$ we get
$\frac{CV}{\rho\varepsilon_{0}}=\frac{\left(\frac{\varepsilon_{0}A}{d}\right)\left(V\right)}{\left(R\frac{A}{\ell}\right)\varepsilon_{0}}\equiv\frac{V}{R}\equiv$ current