If the frequency is set to 15Hz and the pulse width to 8ms, what is the duty cycle setting?

• A. 10%
• B. 12%
• C. 15%
• D. 20%

Answer: (B)

To calculate the duty cycle, you can use the formula:

[

\text{Duty Cycle} (%) = \left( \frac{\text{Pulse Width}}{\text{Period}} \right) \times 100

]

First, determine the period (the duration of one complete cycle) using the frequency:

[

\text{Period} = \frac{1}{\text{Frequency}}

]

Given a frequency of 15 Hz, the period is:

[

\text{Period} = \frac{1}{15} \approx 0.0667 \text{ seconds} = 66.7 \text{ ms}

]

Next, convert the pulse width of 8 ms into seconds for consistency:

[

\text{Pulse Width} = 8 \text{ ms} = 0.008 \text{ seconds}

]

Now substitute the pulse width and the period into the duty cycle formula:

[

\text{Duty Cycle} (%) = \left( \frac{0.008 \text{ s}}{0.0667 \text{ s}} \right) \times 100 \approx 12%

]

This calculation shows why the correct