Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356984
Author: ULABY
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4.4, Problem 7CQ
Explain Gauss’s law. Under what circumstances is it useful?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Problem 3
(a) Consider
x[n]
=
{
0,
1, 0 ≤ n ≤N-1
otherwise
_and_h[n] = {
1, 0 ≤ n ≤M-1
0, otherwise
with N > M. Plot the sequence y[n] = x[n] × h[n]. Make sure to specify the amplitude values
*
and time indices n of y[n] where y[n] is constant.
(b) Express the number L of samples of y[n] that are non-zero in terms of M and N.
(c) Consider
x'[n]
=
{
0,
1, N₁ ≤ n ≤ N₂
otherwise
1, M₁n M₂
and h'[n] =
=
0, otherwise
',
and assume that №2 - N₁ = N-1 and M2 - M₁
=
x'[n] h'[n] is equal to a shifted version of y[n]. What is the value of the shift?
-
= M 1. Show that the sequence y'[n]
=
Home Work
Calculate I, and I2 in the two-port of Fig. below
20
211=602
2/30° V
V₁
%12=-142
721=-j4 2
Z22=82
+
V₂
94
HW-2: Consider the loop of Figure below. If B = 0.5az Wb/m2, R = 20 2,
e = 10 cm, and the rod is moving with a constant velocity of 8ax m/s, find
(a) The induced emf in the rod (b) The current through the resistor
y
I
00
121
&
B (in)
60
Answer: (a) 0.4 V, (b) 20 mA
&
Chapter 4 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 4.2 - What happens to Maxwells equations under static...Ch. 4.2 - How is the current density J related to the volume...Ch. 4.2 - Prob. 3CQCh. 4.2 - A square plate residing in the xy plane is...Ch. 4.2 - A thick spherical shell centered at the origin...Ch. 4.3 - When characterizing the electrical permittivity of...Ch. 4.3 - If the electric field is zero at a given point in...Ch. 4.3 - State the principle of linear superposition as it...Ch. 4.3 - Four charges of 10 C each are located in free...Ch. 4.3 - Two identical charges are located on the x axis at...
Ch. 4.3 - In a hydrogen atom the electron and proton are...Ch. 4.3 - An infinite sheet with uniform surface charge...Ch. 4.4 - Explain Gausss law. Under what circumstances is it...Ch. 4.4 - How should one choose a Gaussian surface?Ch. 4.4 - Two infinite lines, each carrying a uniform charge...Ch. 4.4 - A thin spherical shell of radius a carries a...Ch. 4.4 - A spherical volume of radius a contains a uniform...Ch. 4.5 - What is a conservative field?Ch. 4.5 - Why is the electric potential at a point in space...Ch. 4.5 - Prob. 11CQCh. 4.5 - Why is it usually easier to compute V for a given...Ch. 4.5 - Prob. 13CQCh. 4.5 - Determine the electric potential at the origin due...Ch. 4.5 - A spherical shell of radius a has a uniform...Ch. 4.6 - What are the electromagnetic constitutive...Ch. 4.6 - Prob. 15CQCh. 4.6 - What is the conductivity of a perfect dielectric?Ch. 4.6 - Prob. 17CQCh. 4.6 - Prob. 18CQCh. 4.6 - Determine the density of free electrons in...Ch. 4.6 - Prob. 13ECh. 4.6 - A 50 m long copper wire has a circular cross...Ch. 4.6 - Prob. 15ECh. 4.7 - What is a polar material? A nonpolar material?Ch. 4.7 - Prob. 20CQCh. 4.7 - What happens when dielectric breakdown occurs?Ch. 4.7 - Find E1 in Fig. 4-19 if E2=x2y3+z3(v/m),1=20,2=80,...Ch. 4.7 - Repeat Exercise 4.16 for a boundary with surface...Ch. 4.8 - What are the boundary conditions for the electric...Ch. 4.8 - Prob. 23CQCh. 4.9 - How is the capacitance of a two-conductor...Ch. 4.9 - What are fringing fields and when may they be...Ch. 4.10 - To bring a charge q from infinity to a given point...Ch. 4.10 - Prob. 27CQCh. 4.10 - The radii of the inner and outer conductors of a...Ch. 4.11 - What is the fundamental premise of the image...Ch. 4.11 - Given a charge distribution, what are the various...Ch. 4.11 - Use the result of Example 4-13 to find the surface...Ch. 4 - A cube 2 m on a side is located in the first...Ch. 4 - Prob. 2PCh. 4 - Find the total charge contained in a round-top...Ch. 4 - If the line charge density is given by l = 24y2...Ch. 4 - Find the total charge on a circular disk defined...Ch. 4 - If J = 4xz (A/m2), find the current I flowing...Ch. 4 - Prob. 7PCh. 4 - An electron beam shaped like a circular cylinder...Ch. 4 - Prob. 9PCh. 4 - A line of charge of uniform density occupies a...Ch. 4 - A square with sides of 2 m has a charge of 40 C at...Ch. 4 - Three point charges, each with q = 3 nC, are...Ch. 4 - Charge q1 = 6 C is located at (1 cm, 1 cm, 0) and...Ch. 4 - A line of charge with uniform density = 8 (C/m)...Ch. 4 - Prob. 15PCh. 4 - A line of charge with uniform density l extends...Ch. 4 - Repeat Example 4-5 for liie circular disk of...Ch. 4 - Multiple charges at different locations are said...Ch. 4 - Three infinite lines of charge, all parallel to...Ch. 4 - Prob. 20PCh. 4 - A horizontal strip lying in the xy plane is of...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Charge Q1 is uniformly distributed over a thin...Ch. 4 - The electric flux density inside a dielectric...Ch. 4 - Prob. 26PCh. 4 - An infinitely long cylindrical shell extending...Ch. 4 - If the charge density increases linearly with...Ch. 4 - A spherical shell with outer radius b surrounds a...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A circular ring of charge of radius a lies in the...Ch. 4 - Prob. 33PCh. 4 - Find the electric potential V at a location a...Ch. 4 - For the electric dipole shown in Fig. 4-13, d = 1...Ch. 4 - For each of the distributions of the electric...Ch. 4 - Two infinite lines of charge, both parallel to the...Ch. 4 - Given the electric field E=R18R2(V/m) find the...Ch. 4 - An infinitely long line of charge with uniform...Ch. 4 - The xy plane contains a uniform sheet of charge...Ch. 4 - A cylindrical bar of silicon has a radius of 4 mm...Ch. 4 - Repeat Problem 4.41 for a bar of germanium with e...Ch. 4 - A 100 m long conductor of uniform cross-section...Ch. 4 - Prob. 44PCh. 4 - Apply the result of Problem 4.44 to find the...Ch. 4 - A 2 103 mm thick square sheet of aluminum has 5 cm...Ch. 4 - A cylinder-shaped carbon resistor is 8 cm in...Ch. 4 - With reference to Fig. 4-19, find E1 if...Ch. 4 - An infinitely long cylinder of radius a is...Ch. 4 - If E=R150(V/m) at the surface of a 5-cm conducting...Ch. 4 - Figure P4.51 shows three planar dielectric slabs...Ch. 4 - Determine the force of attraction in a...Ch. 4 - Dielectric breakdown occurs in a material whenever...Ch. 4 - An electron with charge Qe = 1.61019 C and mass me...Ch. 4 - In a dielectric medium with r = 4, the electric...Ch. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Conducting wires above a conducting plane carry...Ch. 4 - Prob. 63P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Write a Verilog program to design the 4-bit ripple carry counter using the instantiation process available in Verilog HDL and write the stimulus program to check the functionality of the design. Assume 4-bit ripple carry counter is designed from a T-flipflop and T-flipflop is designed from a D- flipflop.arrow_forwardHW3: A 9.375-GHz uniform plane wave is propagating in polyethylene (&-2.26). If the amplitude of the electric field intensity is 500 V/m and the material is assumed to be lossless, find: (a) the phase constant; (b) thearrow_forwardHW1: The location of the sliding bar in Figure below is given by x = 5t + 2t³, and the separation of the two rails is 20 cm. Let B = 0.8x2a, T. Find the voltmeter reading at (a) t = 0.4 s; (b) x = 0.6 m.arrow_forward
- For the circuit shown in Fig. 2.18, he =1.1 K2, hfe =50. Find Avf, Rif and Rof. { Ans: -3.2; 1935; X2807. Ans:-3-2;193;728. Vcc Rs=10kQ RF = 40kQ Re=4KQ -ov Vsarrow_forwardFor the system shown in figure below, the per unit values of different quantities are E-1.2, V 1, X X2-0.4. Xa-0.2 Determine whether the system is stable for a sustained fault. The fault is cleared at 8-60°. Is the system stable? If so find the maximum rotor swing. Find the critical clearing angle. E25 G X'd 08 CB X2 F CB V28 Infinite busarrow_forward17 For the circuit shown in Fig. 2.20, the transistors are identical and have the following parameters: hfe = 50, hie 1.1K, hre = 0, and hoe = 0. Calculate Auf, Rif and Rof. 25 V {Ans #45.4; 112 KM; 129 150k 47k www www +11 www 10k 6 4.7k 50μF Rif R₂1000 w 4.7k 47k Vo Q2 33k 4.7k ww 50µF 5μF 4.7k 1 R₁ Rofarrow_forward
- For the circuit shown in Fig. 2.18, he =1.1 K2, hfe =50. Find Avf, Rif and Rof. { Ans: -3.2; 1935; X2807. Ans:-3-2;193;728. Vcc Rs=10kQ RF = 40kQ Re=4KQ -ov Vs Fig. 2.18 Circuit for Q5.arrow_forwardThe circuit of Fig. 2.16 is to have Af=-1mA/V, D=1+ BA = 50, a voltage gain of -4, Rs =1KQ, and hfe = 150. Find RL, Re, Rif and Rof.. Vcc www RL OV Ans: 4 kor; 98053150 KS;∞. { An Re Fig. 2.16 Circuit for Q3.arrow_forwardDuring the lab you will design and measure a differential amplifier, made with an opamp. inside generator R5 ww 500 V1 0.1Vpk 1kHz 0° R6 w 50Ω R1 ww 10ΚΩ VCC C1 balanced wire R3 w 15.0V signal+ 100nF U1A TL082CP ground 2 signal- R4 w C2 Question5: Calculate R3 and R4 for a 20dB. 100nF VEE -15.0V R2 ww 10ΚΩarrow_forward
- not use ai pleasearrow_forward3. Consider the system described by the transfer function Gp(s) polynomial controller to satisfy the below specifications: 1) The settling time is t = 1 second, 2) 0.1% peak overshoot, 3) and zero steady-state error for a ramp input. The sampling period is T = 0.01 second. 1 = Design a discrete-time s(s+5)*arrow_forwardProblem 2 Does there exist a value a that makes the two systems S₁ and S₂ equal? If so, what is this value ? If not, explain why. S₁ x[n] x[n] D D -2 → host 回洄 S with h[m] " 999. усиз -1012345 harrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Electric Charge and Electric Fields; Author: Professor Dave Explains;https://www.youtube.com/watch?v=VFbyDCG_j18;License: Standard Youtube License