EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
6th Edition
ISBN: 8220102801448
Author: Alexander
Publisher: YUZU
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Chapter 13, Problem 66P
Design a problem to help other students better understand how the ideal autotransformer works.
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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 13 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
Ch. 13.2 - Determine the voltage Vo in the circuit of Fig....Ch. 13.2 - Determine the phasor currents I1 and I2 in the...Ch. 13.3 - Prob. 3PPCh. 13.4 - Find the input impedance of the circuit in Fig....Ch. 13.4 - For the linear transformer in Fig. 13.26(a), find...Ch. 13.4 - Solve the problem in Example 13.1 (see Fig. 13.9)...Ch. 13.5 - The primary current to an ideal transformer rated...Ch. 13.5 - In the ideal transformer circuit of Fig. 13.38,...Ch. 13.5 - Find Vo in the circuit of Fig. 13.40. Figure 13.40...Ch. 13.6 - Refer to Fig. 13.43. If the two-winding...
Ch. 13.6 - In the autotransformer circuit of Fig. 13.45, find...Ch. 13.7 - Prob. 12PPCh. 13.8 - Prob. 13PPCh. 13.9 - Refer to Fig. 13.61. Calculate the turns ratio...Ch. 13.9 - Calculate the turns ratio of an ideal transformer...Ch. 13.9 - In Example 13.17, if the eight 100-W bulbs are...Ch. 13 - Refer to the two magnetically coupled coils of...Ch. 13 - Prob. 2RQCh. 13 - Prob. 3RQCh. 13 - Prob. 4RQCh. 13 - The ideal transformer in Fig. 13.70(a) has N2/N1 =...Ch. 13 - Prob. 6RQCh. 13 - A three-winding transformer is connected as...Ch. 13 - Prob. 8RQCh. 13 - Prob. 9RQCh. 13 - Prob. 10RQCh. 13 - For the three coupled coils in Fig. 13.72,...Ch. 13 - Using Fig. 13.73, design a problem to help other...Ch. 13 - Two coils connected in series-aiding fashion have...Ch. 13 - (a) For the coupled coils in Fig. 13.74(a), show...Ch. 13 - Two coils are mutually coupled, with L1 = 50 mH,...Ch. 13 - Given the circuit shown in Fig. 13.75, determine...Ch. 13 - For the circuit in Fig. 13.76, find Vo. Figure...Ch. 13 - Find v(t) for the circuit in Fig. 13.77.Ch. 13 - Prob. 9PCh. 13 - Find vo in the circuit of Fig. 13.79. Figure 13.79...Ch. 13 - Use mesh analysis to find ix in Fig. 13.80, where...Ch. 13 - Determine the equivalent Leq in the circuit of...Ch. 13 - For the circuit in Fig. 13.82, determine the...Ch. 13 - Obtain the Thevenin equivalent circuit for the...Ch. 13 - Find the Norton equivalent for the circuit in Fig....Ch. 13 - Obtain the Norton equivalent at terminals a-b of...Ch. 13 - In the circuit of Fig. 13.86, ZL is a 15-mH...Ch. 13 - Find the Thevenin equivalent to the left of the...Ch. 13 - Determine an equivalent T-section that can be used...Ch. 13 - Determine currents I1, I2, and I3 in the circuit...Ch. 13 - Prob. 21PCh. 13 - Find current Io in the circuit of Fig. 13.91.Ch. 13 - Let is = 5 cos (100t) A. Calculate the voltage...Ch. 13 - In the circuit of Fig. 13.93, (a) find the...Ch. 13 - Prob. 25PCh. 13 - Find Io in the circuit of Fig. 13.95. Switch the...Ch. 13 - Find the average power delivered to the 50-...Ch. 13 - In the circuit of Fig. 13.97, find the value of X...Ch. 13 - Prob. 29PCh. 13 - (a) Find the input impedance of the circuit in...Ch. 13 - Using Fig. 13.100, design a problem to help other...Ch. 13 - Two linear transformers are cascaded as shown in...Ch. 13 - Determine the input impedance of the air-core...Ch. 13 - Using Fig. 13.103, design a problem to help other...Ch. 13 - Find currents I1, I2, and I3 in the circuit of...Ch. 13 - As done in Fig. 13.33, obtain the relationships...Ch. 13 - A 2402,400-V rms step-up ideal transformer...Ch. 13 - Design a problem to help other students better...Ch. 13 - A 1,200240-V rms transformer has impedance on the...Ch. 13 - The primary of an ideal transformer with a turns...Ch. 13 - Given I2 = 2 A, determine the value of Is in Fig....Ch. 13 - For the circuit in Fig. 13.107, determine the...Ch. 13 - Obtain V1 and V2 in the ideal transformer circuit...Ch. 13 - In the ideal transformer circuit of Fig. 13.109,...Ch. 13 - For the circuit in Fig. 13.110, find the value of...Ch. 13 - (a) Find I1 and I2 in the circuit of Fig. 13.111...Ch. 13 - Prob. 47PCh. 13 - Using Fig. 13.113, design a problem to help other...Ch. 13 - Find current ix in the ideal transformer circuit...Ch. 13 - Prob. 50PCh. 13 - Use the concept of reflected impedance to find the...Ch. 13 - For the circuit in Fig. 13.117, determine the...Ch. 13 - Refer to the network in Fig. 13.118. (a) Find n...Ch. 13 - A transformer is used to match an amplifier with...Ch. 13 - For the circuit in Fig. 13.120, calculate the...Ch. 13 - Find the power absorbed by the 100- resistor in...Ch. 13 - For the ideal transformer circuit of Fig. 13.122...Ch. 13 - Determine the average power absorbed by each...Ch. 13 - In the circuit of Fig. 13.124, let vs = 165...Ch. 13 - Refer to the circuit in Fig. 13.125 on the...Ch. 13 - For the circuit in Fig. 13.126, find Il, I2, and...Ch. 13 - For the network in Fig. 13.127, find: (a) the...Ch. 13 - Find the mesh currents in th circuit of Fig....Ch. 13 - For the circuit in Fig. 13.129. find the turns...Ch. 13 - Calculate the average power dissipated by the 20-...Ch. 13 - Design a problem to help other students better...Ch. 13 - An autotransformer with a 40 percent tap is...Ch. 13 - In the ideal autotransformer of Fig. 13.131,...Ch. 13 - In the circuit of Fig. 13.131, N1 = 190 turns and...Ch. 13 - In the ideal transformer circuit shown in Fig....Ch. 13 - When individuals travel, their electrical...Ch. 13 - In order to meet an emergency, three single-phase...Ch. 13 - Figure 13.135 on the next page shows a three-phase...Ch. 13 - Consider the three-phase transformer shown in Fig....Ch. 13 - A balanced three-phase transformer bank with the...Ch. 13 - Using Fig. 13.138, design a problem to help other...Ch. 13 - The three-phase system of a town distributes power...Ch. 13 - Use PSpice or MultiSim to determine the mesh...Ch. 13 - Use PSpice or MultiSim to find I1, I2, and I3 in...Ch. 13 - Prob. 80PCh. 13 - Use PSpice or MultiSim to find I1, I2, and I3 in...Ch. 13 - A stereo amplifier circuit with ail output...Ch. 13 - A transformer having 2,400 turns on the primary...Ch. 13 - A radio receiver has an input resistance of 300 ....Ch. 13 - A step-down power transformer with a turns ratio...Ch. 13 - A 240120-V rms power transformer is rated at 10...Ch. 13 - A 4-kVA, 2,400240-V rms transformer has 250 turns...Ch. 13 - A 25,000240-V rms distribution transformer has a...Ch. 13 - A 4,800-V rms transmission line feeds a...Ch. 13 - A four-winding transformer (Fig. 13.146) is often...Ch. 13 - A 440/110-V ideal transformer can be connected to...Ch. 13 - Ten bulbs in parallel are supplied by a 7,200120-V...
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