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 2, Problem 2.6P
Two point charges of equal magnitude q are positioned at Z=±d/2. (a)Find the electrick field everywhere on the z-axis (b) find the electrick field everywhere on the xy-plane.
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8. For the situation shown, find the electric field E at point P.
91
5.0 cm
5.0 cm
42
+ 20 x 10-C
-5.0 x 10-8 C
9. For the situation in No. 8, where in the region would the electric field be zero?
10 Conon
fourth
n onoh gido
μ_0 = 4π×10^(−7) T.m/A
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
Chapter 2 Solutions
Engineering Electromagnetics
Ch. 2 - Three point charges of equal magnitude q, that...Ch. 2 - Point charges of 1nC and -2 nC are located...Ch. 2 - Point charges of 50 nC each are located at...Ch. 2 - Eight identical point charges of Q C each are...Ch. 2 - A point charge of 3 nC is located at the point...Ch. 2 - Two point charges of equal magnitude q are...Ch. 2 - Point charges of equal magnitude but of opposite...Ch. 2 - A crude device for measuring charge consists of...Ch. 2 - A 100-nCpoint charges is located at A(-1,1,3)in...Ch. 2 - A configuration of point charges consists of a...
Ch. 2 - A charge Q0 located at the origin in free product...Ch. 2 - Electrons are in random in a fixed region in...Ch. 2 - A uniform volume charge density of 0.2 μC/m3 is...Ch. 2 - The electron beam in a certain cathode ray tube...Ch. 2 - A spherical volume having a 2-/μm radius contains...Ch. 2 - Within a region of free space, charge density...Ch. 2 - A length d of the charge lies on the Z-axis infree...Ch. 2 - (a) Find E in the plane z=0 that is produced by a...Ch. 2 - A line having charge density p0|C|C/m and of...Ch. 2 - A line charge of uniform charge density p0 C/m and...Ch. 2 - A charged filament forms a circle of radius a in...Ch. 2 - Prob. 2.22PCh. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric field on the z-axis produced...Ch. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric intensity on the z- axis...Ch. 2 - Given the electric field E=(4x2y)ax(2x+4y)ay, find...Ch. 2 - An electric dipole (introduced in Problem 2.7, and...Ch. 2 - If E=20e5y(cos5xaxsin5xay) ,find (a)...Ch. 2 - For fields that do not vary with z in cylindrical...
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- 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_forwardAssume the magnitude of the electric field on each face of the cube of edge L = 1.06 m in the figure below is uniform and the directions of the fields on each face are as indicated. (Take E, = 34.5 N/C and E, = 24.5 N/C.) E2 20.0 N/C 20.0 N/C E1 20.0 N/C 15.0 N/C (a) Find the net electric flux through the cube. N•m?/c (b) Find the net charge inside the cube. (c) Could the net charge be a single point charge? Yes Noarrow_forwardCalculate the electric field andanswer the follow up questions that follows.arrow_forward
- solve question 8 pleasearrow_forwardμ_0 = 4π×10^(−7) T.m/Aarrow_forwardAt the interface between two dielectrics we want the angle with respect to the normal of the electric field in the second dielectric to be 3 times the angle in the first which is 13.8°. Determine the relative permittivity of the second dielectric if that of the first dielectric is 4.9. ..arrow_forward
- Boundary Conditions Two planar slabs of equal thickness but with different dielectric constants are shown inFigure. Eo in air makes an angle of 30° with the z-axis. Calculate the angle that E makes with the z-axis in each of the two dielectric layers.arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the negative z direction has an amplitude of 45mAlm and a frequency of 10Š Hz. If the wave is polarized on the positive x direction and the phase velocity of the wave is 10 m/s. Assume the initial phase is 30°. Find the relative permittivity of the material. Select one: O a. The relative permittivity of the material = 1 O b. The relative permittivity of the material = V3 O c. The relative permittivity of the material = 0 O d. The relative permittivity of the material = 3 O e. The relative permittivity of the material = 9 %3Darrow_forwardA student makes an electromagnet by winding 620 turns of wire around a wooden cylinder of diameter, d = 4.80 cm. The coil is connected to a battery producing a current of 4.20 A in the wire. What is the axial distance, z (z »d) in mm that the magnetic field of this dipole be 5.0 µT ?arrow_forward
- A9arrow_forwardFind the gradient of the field f at point (1,45 °,2) f = pzcos20arrow_forwardA uniform magnetic field of magnitude 0.20 T is directed along the positive x axis. A positron moving at 1.00x107 m/s enters the field along a direction that makes an angle of 80.0° with the x axis. The motion of the particle is expected to be a helix What is the pitch of the trajectory in mm? (m,-9.11x1031 kg, q=1.6x10-19 C) 0,20 T büyüklüğündeki düzgün manyetik alan pozitif x ekseni yönündedir. Sürati 1,00x107 m/s olan bir pozitron x ekseni ile 80,0° açı yapacak şekilde alana girdiğinde helis şeklinde bir yörünge çizmesi beklenir. Bu helisin hatvesi (adımı) mm cinsinden nedir? (m,-9,11x10-31 kg, q=1,6x10-19 C) Yanıtınızarrow_forward
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