The dimension of the quantity frac{L}{RCV} is | vedclass

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(C) We know that the time constant of an $LR$ circuit is $	au_L = \frac{L}{R}$,which has the dimension of time $[T]$.Also,the time constant of an $RC

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$[A^{-1}]$

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(C) We know that the time constant of an $LR$ circuit is $	au_L = \frac{L}{R}$,which has the dimension of time $[T]$.Also,the time constant of an $RC$ circuit is $	au_C = RC$,which has the dimension of time $[T]$.Given the expression $\frac{L}{RCV}$,we can rewrite it as $\left( \frac{L}{R} ight) \cdot \frac{1}{CV}$.Since $Q = CV$,we have $C = \frac{Q}{V}$,so $CV = Q$ (where $Q$ is charge).Substituting these into the expression: $\frac{L}{RCV} = \frac{[T]}{[Q]} = \frac{[T]}{[I][T]} = [I]^{-1} = [A]^{-1}$.Thus,the dimension is $[A^{-1}]$.

The dimension of the quantity $\frac{L}{RCV}$ is

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