EE 98: Fundamentals of Electrical Circuits - With Connect Access
6th Edition
ISBN: 9781259981807
Author: Alexander
Publisher: MCG
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Textbook Question
Chapter 3, Problem 7P
Apply nodal analysis to solve for Vx in the circuit of Fig. 3.56.
Figure 3.56
For Prob. 3.7.
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Students have asked these similar questions
Q4.
a) A purely derivative controller (i.e. with a zero at the origin only) is defined
by an improper transfer function. Considering its asymptotic behaviour,
explain why a purely derivative controller is difficult to implement in
practice. Relate your explanation to the potential limitations on system
performance.
b) Discuss the potential issues faced by a control system with a large cut-off
frequency. Relate your discussion to the implications on system
performance.
c)
The transfer function of a lag compensator is given by
2
KPID(S) = 2.2++0.2s
S
By using the asymptotic approximation technique:
(i) Obtain the standard form and corner frequency for each individual
component of KPID(S).
(ii) Clearly describe the asymptotic behaviour of each individual
component of KPID(S).
Module Code: EN2058
Q1. a) List the advantages and disadvantages of a closed loop system compared to
an open loop system.
b)
c)
What is the procedure for designing a control system for a bread toaster?
An RC circuit is given in Figure Q1. vi(t) and v(t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change vi(t) applied to the circuit, derive and sketch the
time response of the circuit.
R1 R2
v₁(t)
R3 C1
vo(t)
R₁ =R2 = 10 k
R3 = 100 kn C₁ = 100 μF
Figure Q1. RC circuit.
(iii) Assuming zero initial conditions, obtain the impulse and ramp responses
of the circuit from the step response derived in (ii). Sketching is not
needed.
Q3.
a)
The frequency response method enables the study of the steady-state
response of a system G(s). What type of inputs are used for frequency
response? If the system is linear and stable, how does the output differ
from the input? Compare the main characteristics of two types frequency
response plots.
b) Consider the control system shown in Figure Q3.
Controller
E(s)
R(s)
Desired
output
C(s)
Plant
G(s)
Y(s)
Actual
output
3(s + 3)
C(s) = k
G(s) =
= s(s - 1)(s + 10)
Figure Q3. Closed-loop system.
(i) Considering definitions in the study of bounded-input bounded-output
stability, is G(s) stable? Classify the poles and zeros of G(s).
(ii) G(s) defined in Figure Q3 is a system completely characterised by
its transfer function. Explain why this is the case.
(iii) Obtain the closed-loop transfer function P(s) = Y(s)/R(s) of the
system.
(iv) Based on your result for the previous question [Question 3b)-(iii)], use
the Routh-Hurwitz stability criterion to determine suitable values of
gain K…
Chapter 3 Solutions
EE 98: Fundamentals of Electrical Circuits - With Connect Access
Ch. 3.2 - Figure 3.4 For Practice Prob. 3.1. Obtain the node...Ch. 3.2 - Figure 3.6 For Practice Prob. 3.2. Find the...Ch. 3.3 - Figure 3.11 For Practice Prob. 3.3. Find v and i...Ch. 3.3 - Figure 3.14 For Practice Prob. 3.4. Find v1, v2,...Ch. 3.4 - Practice Problem 3.5 Figure 3.19 For Practice...Ch. 3.4 - Practice Problem 3.6 Figure 3.21 For Practice...Ch. 3.5 - Practice Problem 3.7 Figure 3.25 For Practice...Ch. 3.6 - By inspection, obtain the node-voltage equations...Ch. 3.6 - By inspection, obtain the mesh-current equations...Ch. 3.8 - For the circuit in Fig. 3.33, use PSpice to find...
Ch. 3.8 - Use PSpice to determine currents i1, i2, and i3 in...Ch. 3.9 - For the transistor circuit in Fig. 3.42, let =...Ch. 3.9 - The transistor circuit in Fig. 3.45 has = 80 and...Ch. 3 - At node 1 in the circuit of Fig. 3.46, applying...Ch. 3 - Figure 3.46 For Review Questions 3.1 and 3.2 In...Ch. 3 - For the circuit in Fig. 3.47, v1 and v2 are...Ch. 3 - Figure 3.47 For Review Questions 3.3 and 3.4....Ch. 3 - The circuit i in the circuit of Fig. 3.48 is:...Ch. 3 - Figure 3.48 For Review Questions 3.5 and 3.6....Ch. 3 - In the circuit of Fig. 3.49, current i1 is: (a)4 A...Ch. 3 - Figure 3.49 For Review Questions 3.7 and 3.8....Ch. 3 - The PSpice part name for a current-controlled...Ch. 3 - Which of the following statements are not true of...Ch. 3 - Using Fig. 3.50, design a problem to help other...Ch. 3 - For the circuit in Fig. 3.51, obtain v1 and v2....Ch. 3 - Find the currents I1 through I4 and the voltage vo...Ch. 3 - Given the circuit in Fig. 3.53, calculate the...Ch. 3 - Obtain vo in the circuit of Fig. 3.54. Figure 3.54...Ch. 3 - Solve for V1 in the circuit of Fig. 3.55 using...Ch. 3 - Apply nodal analysis to solve for Vx in the...Ch. 3 - Using nodal analysis, find vo in the circuit of...Ch. 3 - Determine Ib in the circuit in Fig. 3.58 using...Ch. 3 - Prob. 10PCh. 3 - Find Vo and the power dissipated in all the...Ch. 3 - Using nodal analysis, determine Vo in the circuit...Ch. 3 - Calculate v1 and v2 in the circuit of Fig. 3.62...Ch. 3 - Using nodal analysis, find vo in the circuit of...Ch. 3 - Apply nodal analysis to find io and the power...Ch. 3 - Determine voltages v1 through v3 in the circuit of...Ch. 3 - Prob. 17PCh. 3 - Determine the node voltages in the circuit in Fig....Ch. 3 - Use nodal analysis to find v1, v2 and v3 in the...Ch. 3 - For the circuit in Fig. 3.69, find v1, v2, and v3...Ch. 3 - For the circuit in Fig. 3.70, find v1 and v2 using...Ch. 3 - Determine v1 and v2 in the circuit of Fig. 3.71....Ch. 3 - Use nodal analysis to find Vo in the circuit of...Ch. 3 - Use nodal analysis and MATLAB to find Vo in the...Ch. 3 - Use nodal analysis along with MATLAB to determine...Ch. 3 - Calculate the node voltages v1, v2, and v3 in the...Ch. 3 - Use nodal analysis to determine voltages v1, v2,...Ch. 3 - Use MATLAB to find the voltages at nodes a, b, c,...Ch. 3 - Use MATLAB to solve for the node voltages in the...Ch. 3 - Using nodal analysis, find vo and io in the...Ch. 3 - Find the node voltages for the circuit in Fig....Ch. 3 - Obtain the node voltages v1, v2, and v3 in the...Ch. 3 - Which of the circuits in Fig. 3.82 is planar? For...Ch. 3 - Determine which of the circuits in Fig. 3.83 is...Ch. 3 - Figure 3.54 For Prob. 3.5. Rework Prob. 3.5 using...Ch. 3 - Use mesh analysis to obtain ia, ib, and ic in the...Ch. 3 - Using nodal analysis, find vo in the circuit of...Ch. 3 - Apply mesh analysis to the circuit in Fig. 3.85...Ch. 3 - Using Fig. 3.50 from Prob. 3.1, design a problem...Ch. 3 - Prob. 40PCh. 3 - Apply mesh analysis to find i in Fig. 3.87. Figure...Ch. 3 - Using Fig. 3.88, design a problem to help students...Ch. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Calculate the mesh currents i1 and i2 in Fig....Ch. 3 - Rework Prob. 3.19 using mesh analysis. Use nodal...Ch. 3 - Prob. 48PCh. 3 - Find vo and io in the circuit of Fig. 3.94. Figure...Ch. 3 - Prob. 50PCh. 3 - Apply mesh analysis to find vo in the circuit of...Ch. 3 - Use mesh analysis to find i1, i2 and i3 in the...Ch. 3 - Prob. 53PCh. 3 - Find the mesh currents i1, i2, and i3 in the...Ch. 3 - In the circuit of Fig. 3.100, solve for I1, I2,...Ch. 3 - Determine v1 and v2 in the circuit of Fig. 3.101....Ch. 3 - In the circuit of Fig. 3.102, find the values of...Ch. 3 - Find i1, i2, and i3 in the circuit of Fig. 3.103....Ch. 3 - Rework Prob. 3.30 using mesh analysis. Using nodal...Ch. 3 - Prob. 60PCh. 3 - Calculate the current gain iois in the circuit of...Ch. 3 - Find the mesh currents i1, i2, and i3 in the...Ch. 3 - Find vx and ix in the circuit shown in Fig. 3.107....Ch. 3 - Find vo and io in the circuit of Fig. 3.108.Ch. 3 - Use MATLAB to solve for the mesh currents in the...Ch. 3 - Write a set of mesh equations for the circuit in...Ch. 3 - Obtain the node-voltage equations for the circuit...Ch. 3 - Prob. 68PCh. 3 - For the circuit shown in Fig. 3.113, write the...Ch. 3 - Write the node-voltage equations by inspection and...Ch. 3 - Write the mesh-current equations for the circuit...Ch. 3 - Prob. 72PCh. 3 - Write the mesh-current equations for the circuit...Ch. 3 - By inspection, obtain the mesh-current equations...Ch. 3 - Use PSpice or MultiSim to solve Prob. 3.58....Ch. 3 - Use PSpice or MultiSim to solve Prob. 3.27....Ch. 3 - Solve for V1 and V2 in the circuit of Fig. 3.119...Ch. 3 - Solve Prob. 3.20 using PSpice or MultiSim. 3.20...Ch. 3 - Prob. 79PCh. 3 - Find the nodal voltages v1 through v4 in the...Ch. 3 - Use PSpice or MultiSim to solve the problem in...Ch. 3 - If the Schematics Netlist for a network is as...Ch. 3 - The following program is the Schematics Netlist of...Ch. 3 - Prob. 84PCh. 3 - An audio amplifier with a resistance of 9 ...Ch. 3 - Prob. 86PCh. 3 - For the circuit in Fig. 3.123, find the gain...Ch. 3 - Determine the gain vo/vs of the transistor...Ch. 3 - For the transistor circuit shown in Fig. 3.125,...Ch. 3 - Calculate vs for the transistor in Fig. 3.126...Ch. 3 - Prob. 91PCh. 3 - Prob. 92PCh. 3 - Rework Example 3.11 with hand calculation. In the...
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