Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 4, Problem 4.27P
By performing an appropriate Line integral from infinity,, show that Eq. (33) can be found from Eq. (35.)
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Students have asked these similar questions
Only by doing symmetry analysis, without calculating the integrals, deduce which components of the electric field cancel, explain why and how the distribution should be so that this would not happen.
There is a nonuniform electric field given as: E =
15
- ɑ.V /m
Determine the numerical value of the potential (voltage) at (5, 20, 9) with respect to (20, 4, 18).
Draw a labeled sketch of the electric field orientation and the integration path
a.
b.
c. Justify the sign of your potential using the sketch.
PartII Say you've deployed a robot that can can
measure electric field due to specified charge at the
specified location with good accuracy. And you got
these results from the robot:
Electric field due to q1 at point pi is
(-64481.0) î + (-8060.0) ĵ
Electric field due to q2 at point pi is
(-8232.0) î + (10477.0) }
Electric field due to q1 at point p2 is
(-1334.0) î + (-4002.0) }
Electric field due to q2 at point p2 is
(-13033.0) i + (–7820.0)
Electric field due to q3 at point p2 is
(-4868.0) î + (-2164.0) }
c) Find the net Electric field at p1.
x component of the vector
Give your answer up to at least three significance digits.
N/C
y component of the vector
Give your answer up to at least three significance digits.
N/C
d) Find the magnitude of the force on charge
q4 = 17 nClocated p1. Is it an attractive force or
repulsive force? Explain briefly.
Magnitude of the force
Give your answer up to at least three significance digits.
N
Chapter 4 Solutions
Engineering Electromagnetics
Ch. 4 - Given E = Exax + Eyay + Ez3z V/m, where EX, Ey,...Ch. 4 - A positive point charge of magnitude q1 lies at...Ch. 4 - Given E=Epap+Ea+Ez+azV/m, where Ep, E and E2 are...Ch. 4 - An electric field in free space is given by...Ch. 4 - Consider the vector field G = (A/p) aa where A is...Ch. 4 - A electric field in free space is given as...Ch. 4 - Prob. 4.7PCh. 4 - Given E=-xax+yay,(a) find the work involved in...Ch. 4 - An electric field intensity in spherical...Ch. 4 - A sphere of radios a carries a surface density of...
Ch. 4 - At large distances from a dipole antenna (to be...Ch. 4 - Prob. 4.12PCh. 4 - Thee identical point charges of 4 pC each are...Ch. 4 - Given the electric field E=(y+1)ax+(x1)ay+2az find...Ch. 4 - Two uniform lines, 8 nC/m, are located at x=1, z=2...Ch. 4 - A spherically symmetric charge distribution in...Ch. 4 - Uniform surface charge densities of 6 and 2 nC/m2...Ch. 4 - Find the potential at the origin produced by a...Ch. 4 - Volume charge density is given as pv=poer/C/m3,...Ch. 4 - En a certain medium, the electric potential is...Ch. 4 - Prob. 4.21PCh. 4 - A Line charge of infinite length lies along the z...Ch. 4 - Prob. 4.23PCh. 4 - A certain spherically symmetric charge...Ch. 4 - Consider an electric field intensity in free space...Ch. 4 - Let us assume that we have a very thin, square,...Ch. 4 - By performing an appropriate Line integral from...Ch. 4 - Prob. 4.28PCh. 4 - A dipole having a moment P=3ax-5ay+10aznC.m is...Ch. 4 - Prob. 4.30PCh. 4 - A potential field in free space is expressed as...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - A sphere of radius a contains volume charge of...Ch. 4 - Four 0.8 nC point charge are located in free space...Ch. 4 - Surface charge of uniform density ps lies on a...
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- Not sure why I've had so many problems with this, I'm looking for examples to review before my test.... I'll like it when I receive it, just get me some examples... (Take a generic heavily used maxwell's equation) I need the differential form of Maxwell's equations (rather than the integral form)... So I would like a step-by-step example process turning the integral form of Maxwell's equations (WITHOUT any magnetic monopole terms but WITH all the standard terms) into their differential form.This link provides an example: https://www.wikihow.com/Convert-Maxwell%27s-Equations-into-Differential-Formarrow_forwardField current If can be varied by varying the resistance of field resistance which is connected in series with the field circuit. Select one: True Falsearrow_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_forward
- Explain: why the sign of time derivative term is a minus one in the continuity equation ofElectromagnetism. Derive the continuity equation starting from the well-known equation:I = -dq/dt.arrow_forwardplease solve them ,,,, thank you so mucharrow_forwardWhich of the following statements is correct? Select your answer. Take the surface integral and divide its line integral to solve the charge with a given line charge density. Take the double integration procedure to solve the charge with a given surface charge density. Take the line integral first, then the surface integral to solve the charge with a given volume charge density. Divide the volume charge density by the surface charge density to solve the charge.arrow_forward
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