Question

For an RLC circuit driven with voltage of amplitude $v_m$ and frequency ${\omega }_0=\frac{1}{\sqrt{LC}}$, the current exhibits resonance. The quality factor, Q, is given by

• A. $\frac{R}{\left({\omega }_{0}C\right)}$
• B. $\frac{CR}{{\omega }_0}$
• C. $\frac{{\omega }_{0}L}{R}$
• D. $\frac{{\omega }_{0}R}{L}$

Answer 1

The correct option is C $\frac{{\omega }_{0}L}{R}$


$$\begin{array}{c}\text{Band width}{\omega }_2-{\omega }_1=\frac{R}{L}\\ \text{Quality factor}Q=\frac{{\omega }_0}{{\omega }_2-{\omega }_1}=\frac{{\omega }_{0}L}{R}\end{array}$$