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 3, Problem 3.25P
Within the spherical shell, 3
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There is a point charge at the origin. Find the flux in a plane(displacement flux density) where z = 26 cm.
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Last Revised 12/21/2015
Equipotential Surfaces – 3.1
A current I circulates in the direction shown in the figure in a closed ring in the form of a right triangle with side lengths a. If this ring is placed at a distance 2a from a very long wire parallel to its long side and carrying a current of 2I, as shown in the figure, what would be the net magnetic force acting on the ring?
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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- 1. ELECTRIC FLUX. A rectangular flat surface with sides 0.200 m and 0.500 m is under the influence of a uniform electric field E = 85.0 Nc that is directed at 20.0° from the plane of the rectangular sheet. Find %3D the electric flux through the rectangular flat sheet.arrow_forwardTwo concentric Gaussian surfaces encloses a charge. Which is correct? O The outer surface will have twice the flux because of the induced charge on the inner surface The two surfaces do not affect each other The outer surface will have zero flux because the inner surface absorbed all the flux None of the statements is correctarrow_forward2. Given a box with a dimension of 2m on each side and has a line charge density of RL=6µC/m lying on the diagonal of the cube box, find the total Electric Flux on the box.arrow_forward
- Three point charges , , andare placed at the corners of an equilateral triangle (top point of the triangle) has a charge of +Q, and (right and left bottom points of the triangle) both have a charge of –Q. In which direction does the net force point on ?arrow_forwardA charge of 1 micro-C is located inside the sphere of radius 1 m. Find the density of the electric flux (micro-Coulomb/meter-square) at the surface of the sphere. Select one: a. None of the above O b. 0.0795 O c. 0.0199 O d. 0.0397 O e. 0.0265arrow_forwardA spherical shell contains three charged objects. The first and second objects have a charge of-14.0 nC and 39.0 nC, respectively. The total electric flux through the shell is -953 N-m2/C. What is the charge on the third object?arrow_forward
- A charge of 1 micro-C is located inside the sphere of radius 1 m. Find the density of the electric flux (micro- Coulomb/meter-square) at the surface of the sphere. Select one: a. 0.0397 b. 0.0265 c. None of the above d. 0.0795 e. 0.0199arrow_forwardi = 2m2, , = 4mm Figure shows the cross-section of an infinitely long hollow conductor. The current density on the conductor is J = 42 (a) Find the magnetic field at point x=3mm (b) Find the magnetic field at point x= 5mmarrow_forwardThe force exerted on the length element dl at point P in the circular conductive ring in the figure, Please choose one: a.It is tangent to the ring on the note P. b.It's inward throughout the OP. C.It is outward throughout the OP. D.It is in the direction of the magnetic field.arrow_forward
- Q / Explain with the drawing how to charge an insulated and electrically neutral sphere with a negative charge using the induction methodarrow_forward3. Find the magnetic flux density at the center of a square loop (at the origin) with side W standing on xy plane and carrying a direct current I as seen in figure. (25p) W yarrow_forwardTwo long, parallel conductors, separated by 14.0 cm, carry currents in the same direction. The first wire carries a current I, = 7.00 A, and the second carries I, = 8.00 A. (See figure below. Assume the conductors lie in the plane of the page.) I2 (a) What is the magnetic field created by I, at the location of I,? 10e-5 magnitude What is the equation giving the magnetic field of a long, straight, current-carrying wire? T direction in the +z directionarrow_forward
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