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I need part D, please show all steps! Masterinc Physics Hw11: Inductors & AC Goo

ID: 1608309 • Letter: I

Question

I need part D, please show all steps!

Masterinc Physics Hw11: Inductors & AC Google Chrome Secure l https:// on.masteringphysi 74011983&offset-prev; Physics 9-20, Spring 2017, UC Merced HVe 11. Inductors R AC Cimuurs Problem 36.63 Problem 36.63 94.1 V My Answers Gilve Up A motor attached lo a 120 V/60 Hz power draws an 8.50 A ciument s average energy dissipation is 800 W Correct Part C s the motor's resistance? 11 1 Submit Give Up Correc Part D How much series capacitance needs to be added to increase the power factor to 1.0? Submit My Answer: Give Up incorrect; Try Again; 5 attempts remaining Ask me any signed in as Ma Catherine V previcius l 8 at 19 l next a ELovid Feedback Continue

Explanation / Answer

v=120 v


f=60 Hz


I=8.5 A


power, P=800W

power factor, P=Vrms*Irms*cos(theta)

800=120*8.5*cos(theta)


==> phase angle, theta=38.34 degrees


==> tan(theta)=0.791


and


Q=P*tan(theta)


v^2/Xc=800*0.791


v^2*W*C=800*0.791


v^2*(2pi*f*C)=632.8


120^2*(2pi*60*C)=632.8


===> C=116.57*10^-6 F


===> C=116.57 uF