Series and parallel RL and RC circuits with an AC source. A 60 Hz voltage source

Question

Series and parallel RL and RC circuits with an AC source. A 60 Hz voltage source has an amplitude of VT = 160 V. For the following problems, compute the indicated phasors including both magnitudes and phase angles, and sketch the phasor diagrams. (a) The source is connected across a series RL ac circuit with R = 3 ohm and XL = omega L = 4 ohm. Sketch the circuit diagram. Calculate the impedance of the series combination. Sketch an impedance diagram. Calculate the current I and the voltage phasors VR and VL. (b) The source is connected across a parallel RL ac circuit with R = 3 omega and XL = omega L = 4 ohm. Sketch the circuit diagram. Calculate the currents lR, lL and IT Calculate the impedance of the parallel combination Z = VT/IT. (c) The source is connected across a series RC ac circuit with R = 3 omega and Xc = 1/ omega c = 4 ohm. Sketch the circuit diagram. Calculate the impedance of the series combination. Sketch an impedance diagram. Calculate the current I and the voltage phasors VR and VC. (d) The source is connected across a parallel RC ac circuit with R = 3 omega and Xc = 1/omega c = 4 ohm. Sketch the circuit diagram. Calculate the currents IR, IC and IT. Calculate the impedance of the parallel combination Z = VT/IT.

Explanation / Answer

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