V1 + I عام S1 u L2 R2 C1 www R1 M R4 R3 Figure 7: An RLC circuit Given the circuit in figure 7 with values R₁ = 3000, R₂ = 1000, R3 = 5000, R4 = 7000, C₁ = 1μF, L₁ = 1H, L₂ = 0.5H, V₁ = 10V. You are NOT allowed to solve the circuit with phasors, all calculations must be done in the time domain. If switch S₁ is initially closed and circuit reaches steady state and is opened at t=0 seconds, answer the following questions. Questions (b) and (c) the switch S₁ is closed and for questions (d) to (f) the switch S₁ is opened. Redraw the circuit and clearly label all voltages and currents for each component. b) calculate the voltage over the capacitor C1 at t = 0-seconds. c) calculate the current flowing through inductor L1 at t = 0-seconds.

V1 + I عام S1 u L2 R2 C1 www R1 M R4 R3 Figure 7: An RLC circuit Given the circuit in figure 7 with values R₁ = 3000, R₂ = 1000, R3 = 5000, R4 = 7000, C₁ = 1μF, L₁ = 1H, L₂ = 0.5H, V₁ = 10V. You are NOT allowed to solve the circuit with phasors, all calculations must be done in the time domain. If switch S₁ is initially closed and circuit reaches steady state and is opened at t=0 seconds, answer the following questions. Questions (b) and (c) the switch S₁ is closed and for questions (d) to (f) the switch S₁ is opened. Redraw the circuit and clearly label all voltages and currents for each component. b) calculate the voltage over the capacitor C1 at t = 0-seconds. c) calculate the current flowing through inductor L1 at t = 0-seconds.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Current Division Method

The generalized current divider formula is given by the following relation below,

Question

V1
+
S1
L2
R2
C1
M
M
R4
R1
ww
L1
R3
Figure 7: An RLC circuit
Given the circuit in figure 7 with values R₁ = 3000, R₂ = 1000, R3 = 5000, R4 = 7000, C₁ = 1µF,
L₁ = 1H, L₂ = 0.5H, V₁ = 10V. You are NOT allowed to solve the circuit with phasors, all
calculations must be done in the time domain. If switch S₁ is initially closed and circuit reaches
steady state and is opened at t = 0 seconds, answer the following questions.
Questions (b) and (c) the switch S₁ is closed and for questions (d) to (f) the switch S₁ is opened.
Redraw the circuit and clearly label all voltages and currents for each component.
b) calculate the voltage over the capacitor C1 at t = 0-seconds.
c) calculate the current flowing through inductor L1 at t = 0- seconds.
d) calculate the natural frequency w0 and damping factor a for t > 0 seconds.
e) calculate the roots (factors) of the characteristic equation. State if the circuit is underdamped,
overdamped or undamped.
f) calculate the current flowing through inductor L1 at t = 0+ seconds.
g) calculate the change in current flowing through inductor 011(t) at at t = 0+ seconds.
h) Using any method, calculate the current flowing through the inductor L1 for t> 0 seconds.

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