1. For the circuit shown in Figure 1, let f= 60 Hz, vs(t)= 590 cos(2n60t + 30°) R1 = 15 2, R2 = 22 Q, R3 = 34 S, R4 = 27 2, R5 = 38 N, L = 57 mH, C = 65 µF %3D R1 V1 R2 V2 1 2 R5 R3 VS R4 Ic Figure 1 (a) Find impedances ZL, Zc, and phasor Vs for vs(t). (b) Find the node equation at node 1 by summing the currents leaving node 1. (c) Find the node equation at node 2 by summing the currents leaving node 2. (d) Solve the two node equations to find phasors Vị and V2. (e) Find the phasor for the current I, through the capacitor.

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter21: Resistive-capacitive Series Circuits
Section: Chapter Questions
Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...
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1. For the circuit shown in Figure 1, let
f= 60 Hz, vs(t)= 590 cos(2n60t + 30°)
R1 = 15 2, R2 = 22 Q, R3 = 34 S, R4 = 27 2, R5 = 38 N, L = 57 mH, C = 65 µF
%3D
R1
V1
R2
V2
1
2
R5
R3
VS
R4
Ic
Figure 1
(a) Find impedances ZL, Zc, and phasor Vs for vs(t).
(b) Find the node equation at node 1 by summing the currents leaving node 1.
(c) Find the node equation at node 2 by summing the currents leaving node 2.
(d) Solve the two node equations to find phasors Vị and V2.
(e) Find the phasor for the current I, through the capacitor.
Transcribed Image Text:1. For the circuit shown in Figure 1, let f= 60 Hz, vs(t)= 590 cos(2n60t + 30°) R1 = 15 2, R2 = 22 Q, R3 = 34 S, R4 = 27 2, R5 = 38 N, L = 57 mH, C = 65 µF %3D R1 V1 R2 V2 1 2 R5 R3 VS R4 Ic Figure 1 (a) Find impedances ZL, Zc, and phasor Vs for vs(t). (b) Find the node equation at node 1 by summing the currents leaving node 1. (c) Find the node equation at node 2 by summing the currents leaving node 2. (d) Solve the two node equations to find phasors Vị and V2. (e) Find the phasor for the current I, through the capacitor.
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