EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
6th Edition
ISBN: 8220102801448
Author: Alexander
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 59P
Rework Prob. 3.30 using mesh analysis.
Using nodal analysis, find vo and io in the circuit of Fig. 3.79.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
c)
An RC circuit is given in Figure Q1.1, where Vi(t) and Vo(t) are the input and
output voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change of Vi(t) applied to the circuit, derive the time
response of Vo(t) with this step change.
Vi(t)
C₁
Vo(1)
R₂ C2 C3 |
R = 20 ΚΩ = 50 ΚΩ
C=C2=C3=25 μF
Figure Q1.1. RC circuit.
c) An RC circuit is given in Figure Q1. vi(t) and vo (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
v₁(t)
R₁ = R₂ = 10 k
R3
= 100 kn C₁ = 100 μF
Figure Q1. RC circuit.
c)
A RC circuit is given in Figure Q1.1. Vi(t) and Vo(t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii)
With a unit step change of Vi(t) applied to the circuit, derive the time
response of the circuit.
C₁ C₂
Vi(t)
Vo(1)
R₁ C₂
R-25 k C=C2=50 µF
Figure Q1.1. RC circuit.
Chapter 3 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Answer 2 questions for 100 marks Question 1: Process Design [25 marks] An incomplete process design of a flash drum distillation unit is presented in Figure 1. The key variables to be controlled are flow rate, temperature, composition, pressure and liquid level in the drum. Disturbances are observed in the feed temperature and composition. Heat exchangers Drum Vapor Liquid Pump Figure 1: Incomplete process design of a distillation unit Answer the following questions briefly and in a qualitative fashion: a) Determine which sensors and final elements are required so that the important variables can be controlled. Sketch them in the figure using correct instrumentation tags. Describe briefly what instruments you will use and where they should be located. Reflect on the potential presence of a flow controller upstream of your process design (not shown in the diagram). How would this affect the level controller in the drum? b) [10 marks] Describe briefly how you qualitatively determine the…arrow_forwardAnswer 2 questions for 100 marks Question 1: Process Design [25 marks] An incomplete process design of a flash drum distillation unit is presented in Figure 1. The key variables to be controlled are flow rate, temperature, composition, pressure and liquid level in the drum. Disturbances are observed in the feed temperature and composition. Heat exchangers Drum Vapor Liquid Pump Figure 1: Incomplete process design of a distillation unit Answer the following questions briefly and in a qualitative fashion: a) Determine which sensors and final elements are required so that the important variables can be controlled. Sketch them in the figure using correct instrumentation tags. Describe briefly what instruments you will use and where they should be located. Reflect on the potential presence of a flow controller upstream of your process design (not shown in the diagram). How would this affect the level controller in the drum? b) [10 marks] Describe briefly how you qualitatively determine the…arrow_forwardQuestion 2: Process Control [75 marks] As a process engineer, you are tasked to control the process shown in Figure 2. For biomedical engineers, the process could be interpreted as the injection of a solution of a medication compound A, with initial concentration CAO, into a human body, simplified as a Continuously Stirred Tank Reactor (CSTR). Therefore, your task is to analyse and model this process. The equipment consists of a mixing tank, mixing pipe and CSTR. F₁ Сло CA2 V₁ mixing pipe F4 CA4 F3 CA3 mixing tank Fs CAS Vs stirred-tank reactor Figure 2: Mixing and reaction processes Assumptions used for modelling are as follows: I. Both tanks are well mixed and have constant volume and temperature. II. All pipes are short and contribute negligible transportation delay, III. All flow rates are constant. All densities are constant and uniform throughout. IV. The first tank is a mixing tank. V. VI. The mixing pipe has no accumulation, and the concentration CA3 is constant The second tank…arrow_forward
- a) Reflect on the assumptions and briefly explain their implications for your model. Do you agree with the assumptions? If not, briefly suggest improved assumptions. [6 marks] b) Derive a linear(ised) model (algebraic or differential equation) relating C'A2(t) to C'Ao(f). How do you define your system? What type of balance do you need to solve for this purpose? [12 marks] c) Derive a linear(ised) model (algebraic or differential equation) relating C'A4(t) to C'A2(f). Show your balance equation. [12 marks] d) Derive a linear(ised) model (algebraic or differential equation) relating C'A5(t) to C'A4(f). Show your balance equation. [12 marks] e) Combine the models in parts (a) to (c) into one equation relating C'A5 to C'Ao using Laplace transforms. [15 marks] f) Is the response (for example to step input) stable or unstable? Is the response periodic? Is the response damped? [6 marks] g) Carry out an inverse Laplace Transform for C'Ao(s) = A CAO/s (step function) to find C'A5(t) in the time…arrow_forwardI need helparrow_forwardThe values of the circuit elements in the circuit shown in the figure are given below.The initial energies of the capacitors and the coil are zero.Accordingly, how many volts is the voltage vo at t=0.55 seconds? vs(t) = 2cos(4000t)u(t) VR = 19 ohmL = 20 HC1 = 1/5 FC2 = 1/2 Farrow_forward
- could you please show steps on how the answer was derived. Vo(t)=3.922 cos(1000t-71.31')Varrow_forwardcan you show the steps to answer question.arrow_forwardQ2. Figure Q2 shows a block diagram with an input of C(s) and an output R(s). a) C(s) K₁ R(s) K2 1 + 5s 1+2s Figure Q2. Block diagram of control system. Simply the block diagram to get the transfer function of the system C(s)/R(s). b) What is the order of the system? c) What is the gain of the system? d) Determine the values of K₁ and K₂ to obtain a natural frequency w of 0.5 rad/s and damping ratio of 0.4. e) What is the rise time and overshoot of the system with a unit step input?arrow_forward
- 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).arrow_forwardModule 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.arrow_forwardQ3. 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…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Thevenin's Theorem; Author: Neso Academy;https://www.youtube.com/watch?v=veAFVTIpKyM;License: Standard YouTube License, CC-BY