EBK THE ANALYSIS AND DESIGN OF LINEAR C
8th Edition
ISBN: 9781119140320
Author: Toussaint
Publisher: VST
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Chapter 3, Problem 3.57P
Find the Norton equivalent seen by
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Chapter 3 Solutions
EBK THE ANALYSIS AND DESIGN OF LINEAR C
Ch. 3 - Formulate node-voltage equations for the circuit...Ch. 3 - (a) Formulate node-voltage equations for the...Ch. 3 - (a) Formulate node-voltage equations for the...Ch. 3 - Formulate node-voltage equations for the circuit...Ch. 3 - (a) Formulate node-voltage equations for the...Ch. 3 - Choose a ground wisely and formulate node-voltage...Ch. 3 - The following are a set of node-voltage equations;...Ch. 3 - Choose a ground wisely and formulate node-voltage...Ch. 3 - Formulate node-voltage equations for the circuit...Ch. 3 - Formulate node-voltage equations for the circuit...
Ch. 3 - (a) Formulate mesh-current equations for the...Ch. 3 - (a) Formulate mesh-current equations for the...Ch. 3 - (a) Formulate mesh-current equations for the...Ch. 3 - Prob. 3.16PCh. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - For the circuit of figure P3-19 solve for iA,iB,...Ch. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - The circuit in Figure P3-21 seems to require two...Ch. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - Use simple engineering intuition to find the input...Ch. 3 - In Figure P3-24 all of the resistors are 1k and...Ch. 3 - Use Figure P3-24 and MATLAB to solve the following...Ch. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - Find vO for the block diagram shown in figure...Ch. 3 - Design a voltage-divider circuit that will realize...Ch. 3 - Design a current-divider circuit that will realize...Ch. 3 - Using a single resistor, design a circuit that...Ch. 3 - Find the proportionality constant K=vO/vS for the...Ch. 3 - Find the proportionality constant K=iO/vS for the...Ch. 3 - Find the proportionality constant K=vO/iS for the...Ch. 3 - Find the proportionality constant K=iO/iS for the...Ch. 3 - Find the proportionality constant K=vO/vS for the...Ch. 3 - Use the unit output method to find K and vO in...Ch. 3 - Use the unit output method to find K and vO in...Ch. 3 - Use the unit output method to find K in Figure...Ch. 3 - Use the superposition principle to find vO in...Ch. 3 - Use the superposition principle to find vO in...Ch. 3 - Use the superposition principle to find vO in...Ch. 3 - (a) Use the superposition principle to find vO in...Ch. 3 - A linear circuit containing two sources drives a...Ch. 3 - A block diagram of a linear circuit is shown in...Ch. 3 - A certain linear circuit has four input voltages...Ch. 3 - When the current source is turned off in the...Ch. 3 - For the circuit in Figure P3—51, find the Thévenin...Ch. 3 - For the circuit in Figure P3—52, find the Thévenin...Ch. 3 - For the circuit of Figure P3—53, find the Thévenin...Ch. 3 - Find the Thévenin or Norton equivalent circuit...Ch. 3 - Find the Thévenin or Norton equivalent circuit...Ch. 3 - Find the Thévenin equivalent circuit seen by RL in...Ch. 3 - Find the Norton equivalent seen by RL in Figure...Ch. 3 - You need to determine the Thévenin equivalent...Ch. 3 - Find the Thévenin equivalent seen by RL in figure...Ch. 3 - The purpose of this problem is to use Thévenin...Ch. 3 - The circuit in Figure P3-62 was solved earlier...Ch. 3 - Assume that Figure P3-63 represents a model of the...Ch. 3 - The iv characteristic of the active circuit...Ch. 3 - You have successfully completed the first course...Ch. 3 - The Thévenin equivalent parameters of a practical...Ch. 3 - Use a sequence of source transformations to find...Ch. 3 - The circuit in Figure P3-68 provides power to a...Ch. 3 - A nonlinear resistor is connected across a...Ch. 3 - Prob. 3.71PCh. 3 - Find the Norton equivalent seen by RL in Figure...Ch. 3 - Find the Thévenin equivalent seen by RL in Figure...Ch. 3 - Find the Thévenin equivalent seen by RL in Figure...Ch. 3 - For the circuit of Figure P3-75, find the value of...Ch. 3 - For the circuit of Figure P3-76, find the value of...Ch. 3 - The resistance R in Figure P3-77 is adjusted until...Ch. 3 - When a 5-k resistor is connected across a...Ch. 3 - Find the value of R in the circuit of Figure P3-79...Ch. 3 - For the circuit of Figure P3-80, find the value of...Ch. 3 - A 1-k load needs 10 mA to operate correctly....Ch. 3 - A practical source delivers 25 mA to a load. The...Ch. 3 - A 10-V source is shown in Figure P3-83 that is...Ch. 3 - (a)Select RL and design an interface circuit for...Ch. 3 - The source in Figure P3-85 has a 100-mA output...Ch. 3 - Figure P3-86 shows an interface circuit connecting...Ch. 3 - Prob. 3.87PCh. 3 - In this problem, you will design two interface...Ch. 3 - Two teams are competing to design the interface...Ch. 3 - The bridge-T attenuation pad shown in FigureP3-90...Ch. 3 - Design two interface circuits in Figure P3-91 so...Ch. 3 - Design the interface circuit in Figure P3-91 so...Ch. 3 - Design the interface circuit in Figure P3-93 so...Ch. 3 - It is claimed that both interface circuits in...Ch. 3 - Audio Speaker Resistance-Matching Network A...Ch. 3 - Interface Circuit Design Using no more than three...Ch. 3 - Battery Design A satellite requires a battery with...Ch. 3 - Design Interface Competition The output of a...Ch. 3 - Prob. 3.106IP
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- Find Vo using mesh analysisarrow_forwardc) 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.arrow_forwardc) 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.arrow_forward
- 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.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_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_forward
- Question 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_forwarda) 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_forward
- The 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_forwardcould 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_forward
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