Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Question
Chapter 5, Problem 5.6P
To determine
(a)
The total current in
To determine
(b)
The total current in
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19. A life charge density of 24 nC/m is located in free space on the line y=1, z=2.
(a) Find E at P(6,-1,3), (b) What point charge Q, should be located at Q(-34,1) to
cause E, to be equal to zero at P?
If a line of charge with uniform density ρl extends between z=-L/2 and z=L/2 along the z-axis, obtain an expression for the electric field intensity at any point P(r, ϕ ,0) on the x-y plane.
Investigate the case when L becomes infinite.
Volume charge density is located in free space as ρν = 2e−100r nC/m3 for 0 < r < 3 mm, and ρν = 0 elsewhere.
Find the total charge enclosed by the spherical surface r = 2 mm.
By using Gauss’s law, calculate the value of Dr on the surface r = 2 mm.
Chapter 5 Solutions
Engineering Electromagnetics
Ch. 5 - Prob. 5.1PCh. 5 - Given J=-10-4 (yaxx+ya) A/m2, find the current...Ch. 5 - A solid sphere of radius b contains charge Q....Ch. 5 - Prob. 5.4PCh. 5 - Consider the following time-varying current...Ch. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - A large brass washer has a 2-cm inside diameter, a...
Ch. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - A rectangular conducting plate lies in the xy...Ch. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Consider the serup as in Problem 5.15, except find...Ch. 5 - Prob. 5.18PCh. 5 - Consider the as in Problem 5.8, except find R by...Ch. 5 - Consider the basic image problem of a point charge...Ch. 5 - Let the surface y=0 be a perfect conductor in free...Ch. 5 - The line segment x=0, -1≤y≤1, z=1, carries a...Ch. 5 - A dipole with P=0.1azμC. m is located at A(1,0,0)...Ch. 5 - At a certain temperature, the electron and hole...Ch. 5 - Electron and hole concentration increase with...Ch. 5 - A semiconductor sample has a rectangular cross...Ch. 5 - Atomic hydrogen contains 5.5Ă—1023 atoms/m at a...Ch. 5 - Find the dielectric constant of a material an...Ch. 5 - A coaxial conductor has radii a=0.8mm and b=3 mm...Ch. 5 - Consider a composite material made up of two...Ch. 5 - Prob. 5.31PCh. 5 - Two equal but p\opposite-sign point charges of...Ch. 5 - Two perfect dielectrics have relative...Ch. 5 - A sphere of radius b and dielectric constant £r...Ch. 5 - Prob. 5.35P
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Similar questions
- A uniform line charge and a uniform sheet charge, both infinite in extent, are located in free space along the y-axis and at x = -1 respectively. Determine E at point M(2, -1, 1) if the line charge density is 15 nc/m and the sheet charge density is 2 nC/m^2arrow_forwardA non-conducting, uniformly charged disc of surface charge density σ, radius Rand negligible thickness is rotating about its axis with an angular velocity ω. Consider a thin circular loop of radius dr at a distance r from the disk center as shown on the picture. Show that the charge on the thin loop is given bydq=2πσrdr.arrow_forwardIn the 0<r<1mm cubic region, it is given as ρ_v=2e^(-100r) nC/m^3. In other places, the charge density is given as 0.a) Find the total charge inside the spherical surface r=1mm.b) Calculate the expression Dr on the r=1mm surface using Gauss's law.arrow_forward
- Find |E| at the origin in free space if a uniform line charge of 30 nC/m lies along the line (y = 3, z = 5).arrow_forwardPlease answer and write neatly. (Show your complete solution.) Volume charge density is located in free space as ρν = 2e−1000r nC/m3for 0 < r < 1 mm, and ρν = 0elsewhere.(a) Find the total charge enclosed by the spherical surface r = 1 mm.(b) By using Gauss’s law, calculate the value of Dr on the surface r = 1 mm.arrow_forwardA thin ring of radius 5 cm is placed on plane z = 1 cm so that its center is at (0,0,1 cm). If the ring carries 50 mA along aф, find H at ( 0 , 0 , - l c m )arrow_forward
- Consider two concentric spherical shells--one conducting and one non-conducting. The conducting spherical shell has radius 3 cm and total charge of -8 nC, while the non-conducting spherical shell, which is outside the conducting shell, has inner radius 8 cm, outer radius 14 cm, and total charge 5 nC. Determine how strong the electric field is, in kV/m, 10 cm from the center of the conducting shell.arrow_forwardA hollow sphere, with inner radius a and outer radius b, has a volumetric charge distribution p = kr^2, where r is the distance from the center of the sphere outwards and k is a known constant. Using Gauss's law, find the electric field at r < a, a < r < b, and r > b, and graph the electric field as a function of r.arrow_forward1. Determine the total charge contained in a line extending from Cartesian point (3, 2, 1)to (5, 4, 7) carrying line charge of density p1(x, y,z)=2x +3y -5z C/m. note: this question is EMT ( electromagnetic field )arrow_forward
- A charge located at the origin in free space produces a fields for which Ez=2kV/m at point P(-2, 4, -1) Find E at D(3, 4, 2) in spherical coordinates system.arrow_forwardAn infinite length cylinder of radius b extending along the Z-axis and carrying auniform volumetric current density J= az J, a cylindrical cavity of radius ? ismade along the entire length of the cylinder such that its axis is displaced adistance ? from the axis of the main cylinder, as shown in the figure.Use superposition (by handling the cavity as a cylinder carrying current –Jsuperimposed on the main current J that fill the entire cross section) to findthe magnetic flux density inside the cavityarrow_forwardQ3/Given the current density J = 60 pa, A/m in cylindrical coordinates: (a) Determine the magnetic field H, where H varies with p only and has only a 0 component; (b) integrate J over the circular surface p = 1,0< 0< 2n, z 0, to determine the total current passing through that surface in the a, direction ; (c) find the total current using a line integral around the circular path p = 1, 0< 0< 2n, z = 0.arrow_forward
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