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Figure P33.80a shows a parallel RLC circuit. The
Chapter 33, Problem 80(choose chapter or problem)
Figure P33.80a shows a parallel RLC circuit. The instantaneous voltages (and rms voltages) across each of the three circuit elements are the same, and each is in phase with the current in the resistor. The currents in C and L lead or lag the current in the resistor as shown in the current phasor diagram, Figure P33.80b. (a) Show that the rms current delivered by the source is Irms 5 DVrms c 1 R 2 1 avC 2 1 vLb 2 d 1/2 (b) Show that the phase angle f between DVrms and Irms is given by tan f 5 R a 1 XC 2 1 XL b
Questions & Answers
QUESTION:
Figure P33.80a shows a parallel RLC circuit. The instantaneous voltages (and rms voltages) across each of the three circuit elements are the same, and each is in phase with the current in the resistor. The currents in C and L lead or lag the current in the resistor as shown in the current phasor diagram, Figure P33.80b. (a) Show that the rms current delivered by the source is Irms 5 DVrms c 1 R 2 1 avC 2 1 vLb 2 d 1/2 (b) Show that the phase angle f between DVrms and Irms is given by tan f 5 R a 1 XC 2 1 XL b
ANSWER:Step 1 of 5
(a) From figure 33.80b we can see that rms current delivered by the source can be found using the fact that we have right-hand triangle with sides and .