Question

In an LCR circuit having L$=8$H, C$=0.5\mu F$ and $R=100\Omega$ in series, the resonance frequency rad/s is?

• A. $600$
• B. $200$
• C. $250/\pi$
• D. $500$

Answer 1

Answer: (D)

$500$

From the formula, $\omega =\frac{1}{\sqrt{LC}}$
Given, $L=8$H,
$C=0.5\mu F=0.5\times {10}^{-6}F$
$\therefore \omega =\frac{1}{\sqrt{8\times 0.5\times {10}^{-6}}}$
$\Rightarrow \omega =\frac{1}{2\times {10}^{-3}}=500$ rad/s