Question

If L, C and R are the inductance, capacitance and resistance respectively, then which of the following does not represent the dimension of frequency?

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

Answer 1

Answer: (B)

$\frac{C}{L}$

As, $f=\frac{1}{2\pi \sqrt{LC}}$ and time constants of RL and RC circuits have dimensions as that of time.

$\therefore \frac{C}{L}$ does not represent the dimensions of frequency.