Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 4, Problem 38P
Given the electric field
find the electric potential of point A with respect to point B where A is at +2 m and B at –4 m, both on the z axis.
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Problem 4.
A positive point
charge q₁5 [nc] is on the x-axis at x₁ = -1
[m] and a second positive point charge q₂ =
4 [nc] is on the x-axis at x₂ = 3 [m].
dl =
b.
a.
and Point A.
C.
91
Point A is on the x-axis at XA = 8 [m].
0
=
EzA=[
O+x
O-x
O+y
O-y
d.
and Point A.
d2 =
2
m
92
Find the distance between 91
6
created by the charge q₁ at Point A.
E₁A=
Ĵ [N/C]
Find the distance between 92
Find the magnitude of È ₁A.
[N/C]
m
x, m
Calculate ₁4 the electric field
1A
created by the charge 92 at Point A.
E₂A
î+
[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?
Find the magnitude of È 2A.
[N/C]
Calculate E24 the electric field
2A
The electric field at the origin due to electric potential V-(x-2) + (y+2)+ (z-1) is
The parallel-plate capacitor shown to the right is discharging so that the electric field between the plates decreases. Answer the questions below and explain your reasoning.
What is the direction of the magnetic field at point S?
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
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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
- 8. A -6nC particle is moving at 4.0x10^4 m/s along the positive z-axis. It passes a region undeflected where there is uniform electric and magnetic fields. The electric field is 5.75 x 10^5 N/C along the negative x-axis. What is the magnitude and direction of the magnetic field?arrow_forwardWhat is the magnitude of the moment done by the force about the "z-axis" in the following figure. A 4 m F = (60i -80j - 20k} N | 3 m 7 m 4 m 6 m 2 m Parrow_forwardsolve this step by step thes object in ch4 electromagnetic fieldsarrow_forward
- Find the area between the curve y = (x - 1) (x - 3), the x-axis and the x = 2 and x = 3arrow_forwardFigure 2 shows a plot of electrical potential versus position along thex-axis.Make a plot of thex-component of the electric field for this situation.(imaged attached below)arrow_forwardThe parallel-plate capacitor shown to the right is discharging so that the electric field between the plates decreases. Answer the questions below and explain your reasoning. The bulk of the credit will come from your explanation. What is the direction of the magnetic field at point P?arrow_forward
- The figure below shows an electric field line, at point A, draw the direction of the electric field vector Aarrow_forwardfind the magnitude and direction of electric field at point p as shown in figure q=1nC , w =1mmarrow_forwardExpress the field D = (x² + y²)¯'(xa, + yay) in cylindrical components O H= (1/2p)ap O H= (p)ap O H= (1/p)ap O H= (1)aparrow_forward
- Find the voltage in the z axis of a structure centered in the origin. The electric field of this structure is: E = î (x+ vz) + îr2y4Fryz2. Calculate the voltage between 0 and h. O - xyh3 x2 F(-h+xyh) +îx² 2 h3 +ây 3 h5 x2 -h + xyh) +x2- h5 h3 +xy h3 Exy 3arrow_forwardGauss law can be used if the structure carrying the charge is asymmetric around the point. Select one: True False ionarrow_forwardAn infinitely long wire carrying a 50 A current in the positive x direction is placed along the x axis in the vacinity of a circular loop carrying 10 A current located in the x – y plane. Determine the magnteic field at the center of the loop.. Im I = 20 A d = 2 m I = 50 Aarrow_forward
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