1. The problem statement, all variables and given/known data Not sure if this is the correct place for Electrical Engineering Homework help but here goes A single-phased motor connected across a 240-V source at 50Hz as shown in the figure has a power factor of 1.0, I = 20A, I1 = 25 A. Find the capacitance required to give a unity power factor when connected in parallel with the load as shown. 2. Relevant equations Apparent Power S = VRMSIRMS Angular Frequency ω = 2πf cosθ = 1.0 Reactive Power Q = Ssinθ = VRMSIRMSsinθ Active Power P = Scosθ = VRMSIRMScosθ ZRL = R + ωLi Zequiv = ZCZR/[ZC + ZR] QC = 1/ωC 3. The attempt at a solution I think I am misunderstanding the question because if it is already at unity, wouldn't that make θ = 0° meaning QL = 0 VAR? If we want this at unity, QL = QC, correct? But I am getting 0 when the answer is allegedly non-zero. The only thing I was able to find was P = (240 V)(20 A) = 4800 W and I think I2 = 5 A which is entering the node. Meaning I1 = I + I2. This I2 is an RMS value, correct?