The quantity X = (ε 0 L V/t) where ε 0 is the permittivity of free space, L is length, V is the potential difference and t is time. The dimensions of X are the same as that of

Question

The quantity X = (ε 0 L V/t) where ε 0 is the permittivity of free space, L is length, V is the potential difference and t is time. The dimensions of X are the same as that of (A) Resistance (B) Charge (C) Voltage (D) Current

Tardigrade Admin · Accepted Answer

[ ε 0 L ] = [C] ∴ X = (ε 0 L V/t) = (C × V/t) = (Q/t) = current

Q. The quantity $X = \frac{ε _{0} L V}{t}$ where $ε_{0}$ is the permittivity of free space, $L$ is length, $V$ is the potential difference and $t$ is time. The dimensions of $X$ are the same as that of

Resistance

Charge

Voltage

Current

$[ε_{0} L] = [C]$
$∴ X = \frac{ε _{0} L V}{t} = \frac{C \times V}{t} = \frac{Q}{t}$ = current

Q. The quantity X=tε0​LV​ where ε0​ is the permittivity of free space, L is length, V is the potential difference and t is time. The dimensions of X are the same as that of