Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 3, Problem 3.4P
An electric field in free space is
V/m. Find the total charge contained within a sphere of 3-m radius, centered at the origin.
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2) If the angle the displacement makes with the electric field is 0° it means the charge is moving
along (or parallel to) the field vectors. Is work being done? How will the angle here affect the
work done, explain your answer with a diagram?
Last Revised 12/21/2015
Equipotential Surfaces – 3.1
Two identical Conducting spheres having unequal opposite charges attract each other
with a force of 3.15 N when separated by 0.2 m. The sphere experiences a force of repulsion of
0.625 N when they are made to touch for moment and then placed at a distance 0.3 m apart. Find
the initial charge on each sphere.
The following charges distributions are present in free space as shown in Figure, point charge 6 nC at P(2.0,6). a uniform infinite line charge density 1.5 nCm at x-2, y- 3, and infinite
surface charge density 0.1 nCm atx2.
the electric field at origin due to the point charge only is
le charge
4.427a-1281a
475 ax
ONone of These
Chapter 3 Solutions
Engineering Electromagnetics
Ch. 3 - Prob. 3.1PCh. 3 - An electric field in space is E=(5z2/C0)azV/m....Ch. 3 - Consider an electric dipole in free space,...Ch. 3 - An electric field in free space is E=(5z3/0)z V/m....Ch. 3 - A volume charge distribution in free space is...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Use Gauss, law in integral form to show that an...Ch. 3 - A sphere of radius a free space contains charge of...Ch. 3 - An infinitely long cylindrical dielectric of...
Ch. 3 - Consider a cylindrical charge distribution having...Ch. 3 - The sun radiates a tota1 power of about 3.86...Ch. 3 - Spherical surfaces at r = 2, 4, and 6 m carry...Ch. 3 - Prob. 3.14PCh. 3 - Volume charge density is located as follows; pv=0...Ch. 3 - An electric flux density is given by D=D0aP, where...Ch. 3 - In a region having spherical symmetry, volume...Ch. 3 - State whether the divergence of the following...Ch. 3 - A spherical surface of radius 3 mm is centered at...Ch. 3 - A radial electric field distribution in free space...Ch. 3 - In a region exhibiting spherical symmetry,...Ch. 3 - (a) A flux density field is given as F1 = 5 az....Ch. 3 - (a) A point charge Q lies at the origin. Show that...Ch. 3 - In a region in free space, electric flux density...Ch. 3 - Within the spherical shell, 3D= 5(r-3)3a,C/m2 .(a)...Ch. 3 - If we have a perfect gas of mass density Px...Ch. 3 - Consider a slab of material containing a volume...Ch. 3 - Repeat Problem 3.8, but use .D= pv and take an...Ch. 3 - Prob. 3.29PCh. 3 - (a) Use Maxwells first equation. �. D=Pv, to...Ch. 3 - Prob. 3.31P
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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
- A 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_forwardTwo small charged spheres are placed in vacuum in the x-axis: Q1=5.0 uc at x=0 and Q2= -8.0 uc at x=50 cm. A third charge is placed at x=b cm such that the net force it experiences due to Q1 and Q2 is zero. What is the value of b? Draw a sketch of the problem and label appropriately.arrow_forwardThe figure below shows two charged particles separated by a distance of d = 1.50 cm. The charges are ₁ = -15.5 nC and 92 = 26.5 nC. Point B is at the midpoint between the two charges, and point A is at the peak of an equilateral triangle, with each side of length d, as shown. (Assume the zero of electric potential is at infinity.) d d A 60.0⁰ B d (a) What is the electric potential (in kV) at point A? kV (b) What is the electric potential (in kV) at point B? kVarrow_forward
- A charge of −2 nC is located at the origin in free space. What charge must belocated at (2, 0, 0) to cause Ex to be zero at (3, 1, 1)?arrow_forwardGiven the potential field, V= 2xey-5z, and a point P(-4,3,6), find V, E, direction of E, D, and p.arrow_forwardThe density seen in the figure is 4pi Coulomb charge uniformly (evenly everywhere) distributed along the surface of the 2m radius disc. According to this, 1. Find the charge density on the disc surface. 2. Find the electric field that will occur at the point 2m above the axis of the charge.arrow_forward
- A solid insulating sphere with a radius of 1m has a total charge of 2nC that is uniformly distributed throughout the material. Determine the electric field at 1m away from the surface of the sphere.Which of the following is the answer? 4.5 N/C 9 N/C 18 N/C 20 N/Carrow_forwardA volume charge density is known to be Delta(n, deg, z) in cylindrical coordinates. What is the appropriate expression to evaluate the total charge (for an arbitrary geometry)arrow_forwardConsider a solid sphere inside a spherical conducting shell as shown. The solid sphere has a charge of +4Q and the spherical shell has charge +5Q. What is the electric field in the region between the sphere and the shell?arrow_forward
- Two infinite wires are charged uniformly with linear charge density as shown in the figure. What is the magnitude of the electric field (in N/C) at point B? Given that (d)=0.5 m. +12 nC/m +6 nC/m •B d Select one: O a. 503.54 O b. 72 O c. 359.67 O d. 215.8 O e. 647.4arrow_forwardA sphere of radius 8.0 cm carries a non-uniform volume charge density p= 5 r° nC/m. What is the electric field at r = 3.0 cm?arrow_forwardQUESTION 4 Write the relationship between the electric field and the potential. Then, determine the electric field for potentials, V = rsino+ e? in the cylindrical coordinate system at (2,1, 0). %3Darrow_forward
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