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 2.5, Problem 10AP
(a)
To determine
Calculate the value of voltage
(b)
To determine
Calculate the power absorbed by independent voltage source.
(c)
To determine
Calculate the power delivered by independent current source.
(d)
To determine
Calculate the power delivered by controlled current source.
(e)
To determine
Calculate the total power dissipated in two resistors.
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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 2 Solutions
Electric Circuits, Student Value Edition Format: Unbound (saleable)
Ch. 2.1 - Prob. 1APCh. 2.1 - For the circuit shown,
What value of α is required...Ch. 2.2 - For the circuit shown,
If υg = 1 kV and ig = 5 mA,...Ch. 2.2 - For the circuit shown,
If ig = 0.5 A and G = 50...Ch. 2.4 - Prob. 5APCh. 2.4 - Use Ohm’s law and Kirchhoff’s laws to find the...Ch. 2.4 - a)
The terminal voltage and terminal current were...Ch. 2.4 - Repeat Assessment Problem 2.7, but use the...Ch. 2.5 - Prob. 9APCh. 2.5 - The current iϕ in the circuit shown is 2 A....
Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - If the interconnection in Fig. P2.3 is valid, find...Ch. 2 - If the interconnection in Fig. P2.4 is valid, find...Ch. 2 - The interconnection of ideal sources can lead to...Ch. 2 - Consider the interconnection shown in Fig....Ch. 2 - Consider the interconnection shown in Fig....Ch. 2 - If the interconnection in Fig. P2.8 is valid, find...Ch. 2 - Find the total power developed in the circuit in...Ch. 2 - Is the interconnection in Fig. P2.10 valid?...Ch. 2 - For the circuit shown in Fig. P2.11
Figure...Ch. 2 - For the circuit shown in Fig. P2.12
Figure...Ch. 2 - A pair of automotive headlamps is connected to a...Ch. 2 - The terminal voltage and terminal current were...Ch. 2 - A variety of current source values were applied to...Ch. 2 - A variety of voltage source values were applied to...Ch. 2 - Find the currents i1 and i2 in the circuit in Fig....Ch. 2 - Given the circuit shown in Fig. P2.18, find
Figure...Ch. 2 - The current ia in the circuit shown in Fig. P2.19...Ch. 2 - Prob. 20PCh. 2 - The current ix in the circuit shown in Fig. P2.21...Ch. 2 - The current io in the circuit in Fig. P2.22 is 2...Ch. 2 - The voltage across the 22.5 Ω resistor in the...Ch. 2 - The currents i1 and i2 in the circuit in Fig....Ch. 2 - The currents ia and ib in the circuit in Fig....Ch. 2 - Prob. 26PCh. 2 - The variable resistor R in the circuit in Fig....Ch. 2 - The voltage and current were measured at the...Ch. 2 - The voltage and current were measured at the...Ch. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Consider the circuit shown in Fig. P2.32.
Find...Ch. 2 - For the circuit shown in Fig. P2.33, find υo and...Ch. 2 - For the circuit shown in Fig. P2.34, find υo and...Ch. 2 - Find (a) io, (b) i1, and (c) i2 in the circuit in...Ch. 2 - For the circuit shown in Fig. P2.36, calculate (a)...Ch. 2 - Find υ1 and υg in the circuit shown in Fig. P2.37...Ch. 2 - Derive Eq. 2.21. Hint: Use Eqs. (3) and (4) from...Ch. 2 - For the circuit shown in Fig. 2.24, R1 = 40 kΩ R2...Ch. 2 - Suppose you want to add a third radiator to your...Ch. 2 - Repeat Problem 2.41 using the wiring diagram shown...Ch. 2 - Repeat Problem 2.41 using the wiring diagram shown...Ch. 2 - Repeat Problem 2.41 using the wiring diagram shown...
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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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