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Question

The power consumed in W

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Solution

Z1=1153=38.33Ω
cosϕ1=R1Z1
R1=Z1cosϕ1=(38.33)(0.6)=23Ω
XL=Z21R21=30.67Ω
Z2=1155=23Ω
R2=Z2cosϕ2=(23)(0.707)=16.26Ω
When connected in series:
R=R1+R2=39.26Ω
XLXC=14.41Ω
Z=R2+(XLXC)2=41.82Ω
P=i2R=(5.5)2(39.26)=1187.6W=1.188kW

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