Question

R, L and C represent the physical quantities resistance, inductance and capacitance, respectively. Which one of the following combinations has the dimension of frequency?

• A. $\frac{1}{\sqrt{RC}}$
• B. $\frac{R}{L}$
• C. $\frac{1}{LC}$
• D. $\frac{C}{L}$

Answer 1

Answer: (A), (B), (C)

$\frac{1}{LC}$

The explanation for the correct options:

In the case of options A, B, and C:

The time constant in $RC$ circuits is

It has the unit of time,

$\tau =RC$.

As a result, $\frac{1}{RC}$ is a frequency unit.

Similarly, when it comes to $LC$ oscillations,

$\tau =\sqrt{LC}$

For $RL$circuit,

$\tau =\frac{L}{R}$

Hence options A, B, and C are correct.