Fundamentals of Electromagnetics with Engineering Applications
5th Edition
ISBN: 9780471263555
Author: Stuart M. Wentworth
Publisher: John Wiley & Sons
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Textbook Question
Chapter 2, Problem 2.18P
A segment of line charge
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Gauss law can be used if the structure carrying the charge is asymmetric around the point.
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ion
Problem 4.
= 5 [nc] is on the x-axis at x₁ = -1 [m] and a
second positive point charge q₂ = 5 [nc] is on the
x-axis at x₂ = 3 [m].
a.
Point A.
d1 =
b.
|Ē₁A| =
Point A is on the x-axis at XÃ = 7 [m].
Ẻ₁A
d.
Point A.
d2 =
e.
=
E2Al
2A
C.
by the charge q₁ at Point A.
i +
[N/C]
Find the distance between 92 and
0
=
=
O+x
O-x
O+y
O-y
A positive point charge q₁
2
92
Find the distance between q₁ and
m
Find the magnitude of E₁A
[N/C]
m
f.
by the charge q₂2 at Point A.
Calculate ₁4 the electric field created
1A
[N/C]
g.
Consider a point located 6 m from the
origin, what will be the direction of the net electric
field created by the charges at this point?
2 +
x, m
Find the magnitude of È 2A.
[N/C]
Calculate E24 the electric field created
2A
Three charge distributions as follows: a uniform sheet at x=0 m with ps1 = (/31) nC/m2,
a uniform sheet at x 4 m with Ps2 (-137) nC/m2, and a uniform line at
x= 6 m, y 0 m with p -2 nC/m. The E at (2, 0, 8) m is:
Chapter 2 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 2 - Given P(4, 2, 1) and APQ=2ax+4ay+6az, find the...Ch. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Suppose Q1(0.0,-3.0m,0.0)=4.0nC,...Ch. 2 - Prob. 2.5PCh. 2 - Suppose 10.0nC point charges are located on the...Ch. 2 - Four 1.00nC point charges are located at...Ch. 2 - A 20.0nC point charge exists at...Ch. 2 - Prob. 2.9PCh. 2 - Convert the following points from Cartesian to...
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - A 20.0–cm–long section of copper pipe has a...Ch. 2 - A line charge with charge density 2.00nC/m exists...Ch. 2 - You are given two z–directed line charges of...Ch. 2 - Suppose you have a segment of line charge of...Ch. 2 - A segment of line charge L=10.nC/m exists on the...Ch. 2 - In free space, there is a point charge Q=8.0nC at...Ch. 2 - Prob. 2.20PCh. 2 - Sketch the following surfaces and find the total...Ch. 2 - Consider a circular disk in the x–y plane of...Ch. 2 - Suppose a ribbon of charge with density S exists...Ch. 2 - Sketch the following volumes and find the total...Ch. 2 - You have a cylinder of 4.00–in diameter and...Ch. 2 - Consider a rectangular volume with...Ch. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Given D=2a+sinazC/m2, find the electric flux...Ch. 2 - Suppose the electric flux density is given by...Ch. 2 - Prob. 2.31PCh. 2 - A cylindrical pipe with a 1.00–cm wall thickness...Ch. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - A thick–walled spherical shell, with inner...Ch. 2 - Prob. 2.37PCh. 2 - Determine the charge density at the point...Ch. 2 - Given D=3ax+2xyay+8x2y3azC/m2, (a) determine the...Ch. 2 - Suppose D=6cosaC/m2. (a) Determine the charge...Ch. 2 - Suppose D=r2sinar+sincosaC/m2. (a) Determine the...Ch. 2 - Prob. 2.42PCh. 2 - A surface is defined by the function 2x+4y21nz=12....Ch. 2 - For the following potential distributions, use the...Ch. 2 - A 100nC point charge is located at the origin. (a)...Ch. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Prob. 2.48PCh. 2 - Suppose a 6.0–m–diameter ring with charge...Ch. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - The typical length of each piece of jumper wire on...Ch. 2 - A 150–m length of AWG–22 (0.644 mm diameter)...Ch. 2 - Determine an expression for the power dissipated...Ch. 2 - Find the resistance per unit length of a stainless...Ch. 2 - A nickel wire of diameter 5.0 mm is surrounded by...Ch. 2 - Prob. 2.57PCh. 2 - A 20nC point charge at the origin is embedded in...Ch. 2 - Suppose the force is very carefully measured...Ch. 2 - The potential field in a material with r=10.2 is...Ch. 2 - In a mineral oil dielectric, with breakdown...Ch. 2 - Prob. 2.62PCh. 2 - For z0,r1=9.0 and for z0,r2=4.0. If E1 makes a 300...Ch. 2 - Prob. 2.64PCh. 2 - Consider a dielectric–dielectric charge–free...Ch. 2 - A 1.0–cm–diameter conductor is sheathed with a...Ch. 2 - Prob. 2.67PCh. 2 - For a coaxial cable of inner conductor radius a...Ch. 2 - Prob. 2.69PCh. 2 - Prob. 2.70PCh. 2 - A parallel–plate capacitor with a 1.0m2 surface...Ch. 2 - Prob. 2.72PCh. 2 - Prob. 2.73PCh. 2 - Given E=5xyax+3zaZV/m, find the electrostatic...Ch. 2 - Suppose a coaxial capacitor with inner radius 1.0...
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- Q14. An air filled parallel plate capacitor is arranged such that the upper plate carries surface charge density 2C/m² and lower plate carries surface charge density -2C/m² as shown in figure. The electric field intensity under the bottom plate will bearrow_forwardQ4/ For the following configuration, both line and cylinder are infinite in extent with z-axis ρι -3μ C/m %3D ... 2 m 1.5 -C/m² Ps ... . .. .. ... .. .... ... .... .... ... . The value of electric field density at r= 3 m The value of electric field density at r= 1 m 0.0796 μC/m? 0.0398 μC/m2 0.239 μC/m 0.477 μC/m O Option 1 Option 2 O Option 1 Option 2 0.0531 µC /m² 1.5 μC/m2 O Option 3 None of the above O Option 3 O None of the abovearrow_forwardA solid conducting sphere of radius R carries a charge +Q. A thick conducting shell is concentric with the sphere and has an inner radius R2 and outer radius R3. The shell carries a charge -Q. The figure shows a cross section. a) Where are the charges located? Add charge symbols to the figure. R1 R3 R2 b) Add a few electric field lines and equipotential lines to the figure. Please label the lines clearly. c) Draw a sketch of the potential as a function of distance from the center of the sphere. Please label all interesting points on the graph.arrow_forward
- Quèstion 4 Two conducting cylinders at p = 2 cm and p = 8 cm in free space are held at potentials of 60 mV and -30 mV, electric field at p=4 cm -1.0833ap -2.166ap -1.625ap O. -1.3ap A Moving to another question will save this response. ENG 28°C Juaio T.TI/TO USarrow_forwardA non-uniform charge density of P = -x [inc/m], are distributed on the x-axis Find Ẽ at p (0₂0₂2) from x=-4 to x=4. Find È at Earrow_forward(al:Determine E caused by the spherical cloud of electrons with a volume charge density of - 1.68 x 10 -18 for 0 10mm. Clearly mention the surfaces, there differential components and write the equation properly by doing all the steps. (b): For the dielectric composition shown in the figure find out its total capacitance.arrow_forward
- Uniform line charges of 0.4 µC/m and –0.4 µC/m are located in the x = 0 plane at y = -0.6 and y = 0.6 m, respectively. Find E at R(2, –3, 4). %3D Select your answer. N (626.35az – 242.19a,) V (-625.8a, – 241.6a,) m V (-625.8a, + 241.6a,) m N (626.35а, + 242.19а,)arrow_forwardAn air filled parallel plate capacitor is arranged such that the upper plate carries surface charge density 2C/m² and lower plate carries surface charge density -2C/m? as shown in figure. The electric field intensity over the top plate will bearrow_forwardGiven a 2.215 nC/m2 surface charge at z = – 15. Solve E on point (250, 100, 10) caused by the surface charge in (nC/m).arrow_forward
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