AC Circuit 1 SolutionTotal impedance Z 120V14A 857 Ohms h

Solution

Total impedance (Z) = 120V/1.4A = 85.7 Ohms = hypotenuse of the impedance triangle

Total reactance (X) = (Xl- Xc) = (2pi fl) - [(1)/(2pi fc)] = 46.7 Ohms - 12.8 Ohms = 33.9 Ohms = opposite side of the impedance triangle

Resistance = adjacent side of the impedance triangle, b

Angle between current and Voltage is the same as the angle between resistance and total impedance = arc sin 33.9/85.7 = +23.3 degrees (Voltage leading current)