Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 18P
Complex numbers z1 and z2 are given by
Determine (a)
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2. Suppose
G₁(s) = (s+2)
G₂(s) = (s-3)
C(s)
Find the transfer function G(s):
for each of the following three configurations
R(s)
shown in Figure 1. Note (a) is a cascaded (series) system, (b) is a parallel system, and
(c) is a feedback (closed-loop) system.
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(c)
C(s)
R(s)
G₁(s)
G2(5)
G₁(s)
R(s)
C(s)
G2(s)
C(s)
R(s)
G₁(s)
G₂(s)
Figure 1
Determine the transformer's active power losses and primary voltage (Figure 1). The
busbar's voltage at the transformer's secondary side is 20.5 kV. Load P is 6 MW, and the
power factor is 0.95ind.
Select a short-circuit withstanding (1-second short circuit length) cable for Feeder 1 in
Figure 1. Values for cables are given in Table 1. The voltage of the supplying network is
now 115 kV and the short-circuit power of the supplying network is 2000 MVA.
Table 1. Technical information of 3-phase cables (10 kV and 20 kV)
Product's name
EA-number
Structural information
20KV
20KV
20 KV
0624250
0624252
0624253
0624254
AHKAMK-W AHKAMKW AHKAMKWAHKAMKW AHKAMKW AHKAMKW AHKAMKW
3x50Al+35Cu 3x95 Al. 35Cu 3x120Al. 35Cu 3x150Al+35Cu 3x185Al+35Cu 3x240A1+70 Cu 3x300Al+70Cu
20kV
20kV 20 kV (8) 20KV
0624255
0624257
0624256
Diameter of conductor
Diameter of out-most circle
Cable's outer diameter
Mass
Delivery information
Standard length
Delivery reel
mm
8.0
11.3
12.7
14.1
15.7
18.1
20.3
mm
28
32
34
35
37
40
43
mm
64
71
74
76
80
89
94
aluminium
kg/km
510
910
1100
1350
1650
2200
2700
сорраг
kg/km
305
305
305
305
305
600
600
cable
kg/km
2350
3100
3450
3800
4300
5500
6250
E
500
500
500
500
500
500
500…
Chapter 1 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 1.3 - Prob. 1CQCh. 1.3 - What is Coulombs law? State its properties.Ch. 1.3 - What are the two important properties of electric...Ch. 1.3 - What do the electrical permittivity and magnetic...Ch. 1.3 - What are the three branches and associated...Ch. 1.4 - How can you tell if a wave is traveling in the...Ch. 1.4 - Prob. 7CQCh. 1.4 - Why does a negative value of 0 signify a phase...Ch. 1.4 - Consider the red wave shown in Fig. E1.1. What is...Ch. 1.4 - The wave shown in red in Fig. E1.2 is given by...
Ch. 1.4 - The electric field of a traveling electromagnetic...Ch. 1.4 - Prob. 4ECh. 1.4 - The red wave shown in Fig. E1.5 is given by...Ch. 1.4 - An electromagnetic wave is propagating in the z...Ch. 1.5 - What are the three fundamental properties of EM...Ch. 1.5 - What is the range of frequencies covered by the...Ch. 1.5 - Prob. 11CQCh. 1.6 - Express the following complex functions in polar...Ch. 1.6 - Show that 2j=(1+j). (See EM.)Ch. 1.7 - Prob. 12CQCh. 1.7 - How is the phasor technique used when the forcing...Ch. 1.7 - A series RL circuit is connected to a voltage...Ch. 1.7 - A phasor voltage is given by V=j5V. Find (t).Ch. 1 - A 2 kHz sound wave traveling in the x direction in...Ch. 1 - For the pressure wave described in Example 1-1,...Ch. 1 - A harmonic wave traveling along a string is...Ch. 1 - A wave traveling along a string is given by...Ch. 1 - Two waves, y1(t) and y2(t), have identical...Ch. 1 - The height of an ocean wave is described by the...Ch. 1 - A wave traveling along a string in the +x...Ch. 1 - Two waves on a string are given by the following...Ch. 1 - Give expressions for y(x, t) for a sinusoidal wave...Ch. 1 - An oscillator that generates a sinusoidal wave on...Ch. 1 - Prob. 11PCh. 1 - Given two waves characterized by...Ch. 1 - The voltage of an electromagnetic wave traveling...Ch. 1 - A certain electromagnetic wave traveling in...Ch. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Complex numbers z1 and z2 are given z1=3j2z2=4+j3...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=2+j4, determine the following quantities in...Ch. 1 - Find complex numbers t=z1+z2 and s=z1z2, both in...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=3j5, find the value of ln(z).Ch. 1 - If z = 3 j4. find the value of ez.Ch. 1 - Prob. 24PCh. 1 - A voltage source given by s(t)=25cos(2103t30)(V)...Ch. 1 - Find the phasors of the following time functions:...Ch. 1 - Find the instantaneous time sinusoidal functions...Ch. 1 - A series RLC circuit is connected to a generator...Ch. 1 - The voltage source of the circuit shown in Fig....
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- A three-phase 20 kV medium-voltage line is 10 km. Resistance is 0.252 2/km and reactance is 0.128 92/km (inductive). Voltage at the beginning of line is 21.0 kV. At the end of the line is loading P = 2.5 MW with power factor 0.92ind. Draw 1-phase equivalent diagram and calculate line voltage at the end the of line, active and reactive power at the beginning of the line and power losses of the line.arrow_forwardA three-phase 20 kV medium-voltage line is 10 km. Resistance is 0.365 2/km and reactance is 0.363 2/km (inductive). Voltage at the beginning of line is 20.5 kV. At the end of the line is loading P= 800 kW with power factor 0.95ind. Draw 1-phase equivalent diagram and calculate load current, line voltage at the end the of line, voltage drop and power losses of the line.arrow_forward6. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). Write the answers briefly using your own words with no more than two sentences, and make sure you check whether ChatGPT is giving you the appropriate answers in our context. A) What is a model in our context? B) What is an LTI system? C) What are the three forms of model we have used in the class so far to represent an LTI system? Among the above three forms, which forms can still be used to represent a nonlinear system?arrow_forward
- 5. Consider the following block diagram of a system in the Figure 4. Y₁(s) G₁ G2. R(s) C(s) Y₂(s) G3 G4 Figure 4 The models of the blocks G1, G2, G3 and G4 are represented by a differential equation, transfer function, state-space form, and impulse response as the followings. dy1 G₁: +2y₁ = 3r(t) dt 1 G2: G₂(s) = S+3 G3: x=2x+r, y2=3x-r G4: h(t)=8(t) + et 1(t) Find the simplified expression of the overall transfer function of the system i.e., G(s) = Note for G3 block, you may need to use the formula H(s) = C (sI - A)-¹ B+ D. C(s) R(s)arrow_forward4. Simplify the block diagram in Figure 3 and find the closed-loop transfer function G(s) = C(s) R(s) G₁ R(s) Figure 3 C(s) G2 H₁ H₂arrow_forward1. Consider a system defined by the following state-space equations. -5 2 N-MAN-G = 3 -1 y = [12] Find the transfer function H(s) = x1 x2. Y(s) U(s)' + 5arrow_forward
- 3. Simplify the block diagram in Figure 2 and find the closed-loop transfer function G(s) = C(s) R(s)' G₁ C(s) R(s) G2 G3 G4 Figure 2arrow_forwardRigid network supplies Feeder 1 through 110/21 kV transformer (Figure 1). Short circuit power of the supplying network is 5000 MVA and voltage is 110 kV. Determine 3-phase short circuit current for the point A. Draw 1-phase equivalent diagram. How big is the current if the 3-phase short circuit occurs in the Busbar? 110/21 kV Busbar Supplying network S = 16MVA 4-10% Figure 1. Feeder 1: 1-5km - r = 0.337 2/km x 0.361 2/km Aarrow_forwardRigid network supplies Feeder 1 through 110/21 kV transformer (Figure 1). Short circuit power of the supplying network is 3000 MVA and voltage is 110 kV. Length of feeder 1 is 5 km. Determine 3-phase short circuit current for the point A. Draw 1-phase equivalent diagram. 110/21 kV Busbar Supplying network S = 16MVA 4-10% Feeder 1: Figure 1. - 1 = 5km r = 0.337 2/km x = 0.361 2/km Aarrow_forward
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