If L, C and R are the self-inductance, capacitance and resis... | Physics | SolveeIt | Solveeit

Today, August 23

Question

If L, C and R are the self-inductance, capacitance and resistance, respectively, which of the following does not have the dimension of time?

A

$RC$

B

$\frac{L}{R}$

C

$\sqrt{LC}$

D

$\frac{L}{C}$

Answer

$\frac{L}{C}$

Explanation

Solution

$U=\frac{1}{2}Li^2$

= $\frac{1}{2}CV^2$

So, $\bigg[\frac{L}{C}\bigg]$

= $\frac{V^2}{i^2}$

= $R^2$ is not the dimension of time.