Electric Circuits, Student Value Edition Format: Unbound (saleable)
11th Edition
ISBN: 9780134747170
Author: NILSSON, James W.^riedel, Susan
Publisher: Prentice Hall
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Chapter 9, Problem 53P
a.
To determine
Find the value of
b.
To determine
Find the value of Thevenin impedance for
c.
To determine
Find the value of
d.
To determine
Find the value of
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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.
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…
Chapter 9 Solutions
Electric Circuits, Student Value Edition Format: Unbound (saleable)
Ch. 9.3 - Prob. 1APCh. 9.3 - Prob. 2APCh. 9.4 - Prob. 3APCh. 9.4 - Prob. 4APCh. 9.5 - Four branches terminate at a common node. The...Ch. 9.6 - A 20 resistor is connected in parallel with a 5...Ch. 9.6 - The interconnection described in Assessment...Ch. 9.6 - Prob. 9APCh. 9.7 - Find the steady-state expression for vo (t) in the...Ch. 9.7 - Find the Thévenin equivalent with respect to...
Ch. 9.8 - Use the node-voltage method to find the...Ch. 9.9 - Use the mesh-current method to find the phasor...Ch. 9.10 - Prob. 14APCh. 9.11 - The source voltage in the phasor domain circuit in...Ch. 9 - Prob. 1PCh. 9 - A sinusoidal voltage is given by the...Ch. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Find the rms value of the half-wave rectified...Ch. 9 - Verify that Eq. 9.7 is the solution of Eq. 9.6....Ch. 9 - Prob. 10PCh. 9 - Use the concept of the phasor to combine the...Ch. 9 - The expressions for the steady-state voltage and...Ch. 9 - Prob. 13PCh. 9 - A 50 kHz sinusoidal voltage has zero phase angle...Ch. 9 - Prob. 15PCh. 9 - A 10 Ω resistor and a 5 μF capacitor are connected...Ch. 9 - Three branches having impedances of , and ,...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Find the admittance Yab in the circuit seen in...Ch. 9 - Find the impedance Zab in the circuit seen in Fig....Ch. 9 - For 1he circuit shown in Fig. P9.27 find the...Ch. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - The circuit in Fig. P9.30 is operating in the...Ch. 9 - Find the steady-state expression for vo in the...Ch. 9 - Prob. 33PCh. 9 - Find the value of Z in the circuit seen in Fig....Ch. 9 - Find Ib and Z in the circuit shown in Fig. P9.35...Ch. 9 - The circuit shown in Fig. P9.36 is operating in...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - The frequency of the source voltage in the circuit...Ch. 9 - The circuit shown in Fig. P9.40 is operating in...Ch. 9 - The source voltage in the circuit in Fig. P9.41 is...Ch. 9 - Find Zab for the circuit shown in Fig P9.42.
Ch. 9 - Use source transformations to find the Thévenin...Ch. 9 - Use source transformations to find the Norton...Ch. 9 - The sinusoidal voltage source in the circuit in...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - Prob. 47PCh. 9 - Find the Norton equivalent with respect to...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - Find the Thévenin equivalent circuit with respect...Ch. 9 - Prob. 51PCh. 9 - Find Zab in the circuit shown in Fig. P9.52 when...Ch. 9 - The circuit shown in Fig. P9.53 is operating at a...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - Use the node-voltage method to find V0 in the...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - Use the node-voltage method to find V0 and I0 in...Ch. 9 - Use the node-voltage method to find the phasor...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the branch...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Prob. 65PCh. 9 - Prob. 66PCh. 9 - For the circuit in Fig. P9.67, suppose
What...Ch. 9 - For the circuit in Fig. P9.68, suppose
What...Ch. 9 - The op amp in the circuit in Fig. P9.69 is...Ch. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Find the steady-state expressions for the currents...Ch. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - The sinusoidal voltage source in the circuit seen...Ch. 9 - Prob. 78PCh. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 83PCh. 9 - Prob. 84PCh. 9 - Prob. 86PCh. 9 - Prob. 87PCh. 9 - Prob. 88PCh. 9 - Prob. 89PCh. 9 - Prob. 90PCh. 9 - Prob. 91P
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- 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_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_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_forward
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