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

A) Resistance
B) Charge
C) Voltage
D) Current
Explanation

$\left\lbrack \varepsilon_{0}L \right\rbrack = \lbrack C\rbrack\therefore X = \frac{\varepsilon_{0}LV}{t} = \frac{C \times V}{t} = \frac{Q}{t} = current$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.