Question

In an LCR circuit having $L=8.0H,C-0.5\mu F$ and $R=100\Omega$ in series, the resonance frequency is:

• A. $600$ rad/sec
• B. $600Hz$
• C. $500$ rad/sec
• D. $500Hz$

Answer 1

The correct option is C $500$ rad/sec

$X_L=X_{C}2\pi fL=\frac{1}{2\pi fC}{f}^2=\frac{1}{4{\pi }^{2}C\times L}=79Hz\omega =2\pi \times 79=500rad/sec$