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For an RLC circuit driven with voltage of amplitude vm and frequency \omega _{o}=\frac{1}{\sqrt{LC}}  the current exibits resonance. The quality factor, Q is given by :

  • Option 1)

    \frac{CR}{\omega _{o}}

  • Option 2)

    \frac{\omega _{o}L}{R}

  • Option 3)

    \frac{\omega _{o}R}{L}

  • Option 4)

    \frac{R}{(\omega _{o}C)}

 

Answers (2)

best_answer

Quality Factor Q=\frac{w_{0}}{w_{2}-w_{1}}

          {w_{2}-w_{1}} = \frac{R}{L}

             \Rightarrow Q=\frac{w_{o}L}{R}

 

Q factor -

\frac{V_{L}}{V_{R}}or \frac{V_{c}}{V_{R}}= \frac{\omega _{0}L}{R}or\frac{1}{\omega _{0}cR}

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Option 1)

\frac{CR}{\omega _{o}}

This is incorrect

Option 2)

\frac{\omega _{o}L}{R}

This is correct

Option 3)

\frac{\omega _{o}R}{L}

This is incorrect

Option 4)

\frac{R}{(\omega _{o}C)}

This is incorrect

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Aadil

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