Q116 / 155 · WBJEE 2025 · Physics
A quantity X is given by $\varepsilon_0 \mathrm{~L} \frac{\Delta \mathrm{~V}}{\Delta t}$, where $\varepsilon_0$ is the permittivity of free space, L is the length, $\Delta \mathrm{V}$ is a potential difference and $\Delta t$ is a time interval. The dimension of $X$ is same as that of
- AResistance
- BCharge
- CVoltage
- Correct answerDCurrent
Solution
$\mathrm{X}=\varepsilon_0 \cdot \frac{\text { Volt } \times \mathrm{m}}{\mathrm{sec}}=\varepsilon_0 \frac{\mathrm{~d} \phi}{\mathrm{dt}}=\mathrm{i}_{\mathrm{d}}=$ current
Hence, the correct answer is option: 'D'.