1. The problem statement, all variables and given/known data The electrical model of an operating AC induction motor yields an impedance, Z, of 18.65+j15.106Ω . What value of parallel capacitance is necessary to achieve a power factor of unity if the operating frequency is 60Hz? 2. Relevant equations V=IR w=2pif P=VI 3. The attempt at a solution I know the reactance of a capacitor is 1/jwC. And impedances add like 1 over the sum of reciprocals.