Question

The resonant frequency of a series LCR circuit with L = 2.0H,C=32$\mu$F and R= 10 $\Omega$ is

• A. $20Hz$
• B. $30Hz$
• C. $40Hz$
• D. $50Hz$

Answer 1

Answer: (A)

$20Hz$

Here, $L=2H$

$C=32\mu F=32\times {10}^{-6}F$

$R=10\Omega$

$\therefore \omega =\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{2\times 32\times 10-6}}=125rad{s}^{-1}$

${\nu }_r=\frac{{\omega }_r}{2\pi }=\frac{125}{2\times 3.14}=20Hz$