# Problem: In an RLC series circuit, which of the following does the quality factor of the circuit depend on? (Select all that apply.)- Width of the resonance-L-R-C

###### FREE Expert Solution

Quality factor:

$\overline{){\mathbf{Q}}{\mathbf{=}}\frac{{\mathbf{\omega }}_{\mathbf{r}}\mathbf{L}}{\mathbf{R}}{\mathbf{=}}\frac{{\mathbf{X}}_{\mathbf{L}}}{\mathbf{R}}{\mathbf{=}}\frac{\mathbf{1}}{{\mathbf{\omega }}_{\mathbf{r}}\mathbf{CR}}{\mathbf{=}}\frac{{\mathbf{X}}_{\mathbf{C}}}{\mathbf{R}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{R}}\sqrt{\frac{\mathbf{L}}{\mathbf{C}}}{\mathbf{=}}\frac{{\mathbf{f}}_{\mathbf{r}}}{\mathbf{∆}\mathbf{f}}}$

ωr is the resonant angular frequency, fr is the resonant frequency and Δf is the bandwidth.

###### Problem Details

In an RLC series circuit, which of the following does the quality factor of the circuit depend on? (Select all that apply.)

- Width of the resonance

-L

-R

-C