Question 444: AC fundamentals

Question

A series LCR circuit with inductance 10 H, capacitance 10 $\mu$F, resistance 50 $\Omega$ is connected to an ac source of voltage, V = 200sin(100t) volt. If the resonant frequency of the LCR circuit is v
0
and the frequency of the ac source is v, then

Accepted Answer

$\omega L = {1 \over {\omega C}}$
$\omega  = {1 \over {\sqrt {LC} }} = {1 \over {\sqrt {10 	imes 10 	imes {{10}^{ - 6}}} }}$
$\omega  = 100$
$\omega  = 2\pi f \Rightarrow f = {\omega  \over {2\pi }}$
${v_0} = {f_0} = {{100} \over {2\pi }} = {{50} \over \pi }$ Hz, $\omega  = 100$
$v = f = {{100} \over {2\pi }} = {{50} \over \pi }$

Answer

${v_0} = v = 50$ Hz

Answer

${v_0} = v = {{50} \over \pi }$ Hz

Answer

${v_0} = {{50} \over \pi }$ Hz, $v = 50$ Hz

Answer

$v = 100$ Hz, ${v_0} = {{100} \over \pi }$ Hz

AC fundamentals

A series LCR circuit with inductance 10 H, capacitance 10 \muF, resistance 50 \Omega is connected to an ac source of voltage, V = 200sin(100t) volt. If the resonant frequency of the LCR circuit is v 0 and the frequency of the ac source is v, then

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