Question

A computer draws an rms current of \(2.80 \mathrm{A}\) at an \(\mathrm{rms}\) voltage of \(120 \mathrm{V}\). The average power consumption is 240 W. (a) What is the power factor? (b) What is the phase difference between the voltage and current?

Short answer

PF = 0.7143 (approximately) #tag_title#Step 3: Calculate the Phase Difference#tag_content#Now we can find the phase difference (θ) using the formula: θ = arccos(PF) Plug in the power factor value we found earlier:#tag_code# import math math.acos(0.7143)

Step-by-step solution

Information from the exercise

We are given: - rms current \((I) = 2.80 A\) - rms voltage \((V) = 120 V\) - average power \((P_{avg}) = 240 W\)

Calculate the Power Factor

The power factor (PF) is defined as the ratio of average power to the product of rms current and rms voltage. So, PF = \(\dfrac{P_{avg}}{IV}\) Plugging in the given values: PF = \(\dfrac{240}{2.80 \times 120}\) Now, calculate the power factor value:#tag_code# 240/(2.80*120)