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What is the motor\'s resistance? A motor attached to a 120 V/60 Hz power line dr

ID: 1553285 • Letter: W

Question

What is the motor's resistance? A motor attached to a 120 V/60 Hz power line draws an 8.00 A current. Its average energy dissipation is 760 W. Significant Figures Feedback: Your answer 11.875 Ohm was either rounded differently or used a different number of significant figures than required for this part. If you need this result for any later calculation in this item, keep all the digits and round as the final step before submitting your answer. How much series capacitance needs to be added to increase the power factor to 1.0?

Explanation / Answer

capacitance to be placed in parallel !!
p.f. = P/A = 760/(120*8) = 0.79
= arccos 0.79 = 0.66 rad
tan = 0.776
Q = P*tan = 760*0.776 =589.84 VAr
Q = V^2/Xc
Xc = V^2/Q = 120^2/589.84 = 24.41 ohm
Xc = 1/(*C) = 1/(377*C)   {=2*3.14*f}
C = 1/(24.41*377) = 109 F

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