If $\mathrm{R}, \mathrm{X}_{\mathrm{L}}$, and $\mathrm{X}_{\mathrm{C}}$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :
Solution
$R=$ Resistance
<br/><br/>$$
\begin{aligned}
& {\left[X_{L}\right]=[R]} \\\\
& {\left[X_{C}\right]=[R]}
\end{aligned}
$$
<br/><br/>So, $\frac{R}{\sqrt{X_{L} X_{C}}}$ is dimensionless.
About this question
Subject: Physics · Chapter: Alternating Current · Topic: AC Circuits: R, L, C
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