Question

If the values of $L,C$ and $R$ in a series $L-C-R$ circuit are 10 mH, 100 $\mu F$ and $100\Omega$ respectively then the value of resonant frequency will be

• A. $\frac{{10}^3}{2\pi }Hz$
• B. $2\times {10}^{3}Hz$
• C. $2\times \frac{{10}^3}{pi}Hz$
• D. ${10}^{3}Hz$

Answer 1

Answer: (A)

$\frac{{10}^3}{2\pi }Hz$

Resonant frequency $=\frac{1}{2\pi \sqrt{LC}}$
$=\frac{1}{2\pi \sqrt{{10}^{-6}}}$
$=\frac{{10}^3}{2\pi }Hz$