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

Question

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

Answer 1

Solution

: Here, , $L = 2H,C = 32\mu F = 32 \times 10^{- 6}FR = 10\Omega$

$\therefore\omega_{r} = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{2 \times 32 \times 10^{- 6}}}$ $= \frac { 10 ^ { 3 } } { \sqrt { 64 } } = \frac { 10 ^ { 3 } } { 8 } = 125 \mathrm { rads } ^ { - 1 }$ $\upsilon_{r} = \frac{\omega_{r}}{2\pi} = \frac{125}{2 \times 3.14} = 20Hz$

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

Solution