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Question: The quantity \(X = \frac { \varepsilon _ { 0 } L V } { t }\) : \(\varepsilon _ { 0 }\) is the per...

The quantity X=ε0LVtX = \frac { \varepsilon _ { 0 } L V } { t } : ε0\varepsilon _ { 0 } is the permittivity of free space, LL is length, VV is potential difference and tt is time. The dimensions of XX are same as that of

A

Resistance

B

Charge

C

Voltage

D

Current

Answer

Current

Explanation

Solution

[ ε0L\varepsilon _ { 0 } L ] = [C] ∴ X=ε0LVt=C×Vt=QtX = \frac { \varepsilon _ { 0 } L V } { t } = \frac { C \times V } { t } = \frac { Q } { t } = current