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Tutorial: ac Power
1. Obtain the complete power information for a passive circuit with an applied voltage 106 /0o volts rms and a resulting current 3.5 / – 60° amps rms.
2. Determine the two series elements which constitute a circuit having the following
specification: Current = 3 / 45° Amps rms, power =180 Watts, power factor = 0.8 lagging,angular frequency = 5000 rad/s.
3. Determine the circuit impedance which has a complex power, S = 5031 / – 26.6° VA for anappliedphasor voltage of 150 / 0° V.
4. A circuit consists of a 100 W resistor in series with the parallel combination of 150 W and 1H. It is connected to a 240 volts rms, 50 Hz power supply. Determine the effective impedance of the circuit, the magnitude of the current in each of the three components, and the average power and reactive VAr required.
5. Measurements on a 240 Volts rms ac motor reveal that P = 12 kW and the supply current is 60 Amps rms. Determine the power factor, reactive VAr and circuit impedance, Z.
6. Determine the total power information for three parallel connected loads:
(a) 250 VA, pf = 0.5 lagging, (b) 180 W, pf = 0.8 leading,
(c) = 300 VA, 100 VAr (inductive).