Question

In an LCR circuit L, C, and R values are respectively 8 Henry, $0.5\mu F$ and $100\Omega$ are arranged in series. The resonating frequency is:

• A. 900 rad/s
• B. 500 Hz
• C. 500 rad/s
• D. 300 Hz

Answer 1

The correct option is C 500 rad/s

Resonance angular velocity

${\omega }_0=\frac{1}{\sqrt{LC}}$

$=\frac{1}{\sqrt{8\times 0.5times{10}^{-6}}}=500rad/sec$

Frequency

$f=\frac{{\omega }_0}{2\pi }=\frac{250}{\pi }se{c}^{-1}$

Hence only (c) option is correct