factor of a series RLC circuit possessing resonant frequency of 60 Hz and bandwidth of 12 Hz is

To determine the quality factor (Q factor) of a series RLC circuit, we can use the following formula:

Quality Factor Formula

$Q = \frac{f_0}{BW}$ where:

• $f_0$ is the resonant frequency (in Hz)
• $BW$ is the bandwidth (in Hz)

Step 1: Identify Given Values

1. $f_0 = 60 \, \text{Hz}$
2. $BW = 12 \, \text{Hz}$

Step 2: Substitute Values into the Formula

Now, we substitute the identified values into the formula for the quality factor:

$Q = \frac{60 \, \text{Hz}}{12 \, \text{Hz}}$

Step 3: Perform the Calculation

Now, perform the division:

$Q = \frac{60}{12} = 5$

Step 4: Verify and Summarize

We have calculated the quality factor of the series RLC circuit. The calculations were done correctly, and the Q factor reflects the sharpness of the resonance.

Final Answer

The quality factor (Q factor) of the series RLC circuit is $Q = 5$.