First slide

AC Circuits

Question

L, C and R denote inductance, capacitance and resistance respectively. Pick out the combination which does not have the dimensions of frequency

Moderate

A

$\frac{1}{RC}$
B

$\frac{R}{L}$
C

$\frac{1}{\sqrt{LC}}$
D

$\frac{C}{L}$

Solution

RC, L/R are time constants. $\sqrt{LC}$ is the time period of oscillation of L-C circuit. So their reciprocals have dimensions of frequency.
$\frac{C}{L}$ is not having the dimensions of frequency.

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