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 5, Problem 5.31P
To determine
(a)
The electric field in the cylindrical interior and express the result in rectangular form.
To determine
(b)
The value of
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A charge QA = 30μC is located at A(2, 1, 4), and a charge QB =50μC is at B(5, 8,−2) in free space. If distances are given inmeters, determine the electric field intensity at point C( -2, 3, 1).
can you please solve this question, thanks.
A sheet of charge, m , is present at the plane x = 3 in free space, and a line charge of
rL = 20 nC/m , is located at x = 1, z = 4. (a) Find the magnitude of the electric field intensity at the
origin. (b) Find the direction of E at P(4,5,6)
The interface between a dielectric medium having relative permittivity 4 and free space is marked by the y=0 plane. If the electric field in the free space region is given by E=5ax + 12 ay + az V/m, determine the electric field on the other side of the interface.
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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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
- An 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_forwardAt a boundary between medium 1, which has Er1=4, and medium 2, which has Er2 =3, the electric field in medium 1 is given by E1= 3 ax + 6 ay – 4 az V/m. The boundary between the media is the y=0 plane. Using electrostatic boundary conditions, find (a) E2 and the angle it makes with the y-axis, and (b) the electrostatic energy density in each region. (c) the energy inside a 1 cm3 cube in each medium. Note: Here E represents Epsilon.arrow_forwardIn free space, let Q1 = 10 nC be at P1 (0,-4, 0). Find the work required done in moving a 2-microC charge along a straight line path from A(1, 2, 3) to B(3, 1, 2).arrow_forward
- Coaxial conducting cylinders are located at ? = 0.5 cm and ? = 1.2 cm. The region betweenthe cylinders is filled with a homogeneous perfect dielectric. If the inner cylinder is at 100 V and the outer is at 0V, find(a) the location of the 10 V equipotential surface;(b) the maximum value of electric field ( ????? );(c) the dielectric constant of the medium (??), if the charge per meter length on theinner cylinder is 10 nC/m.arrow_forwardA circle has a center at the origin and has a radius of R. If x = 10 and y = 20, determine the slope of the particular orthogonal trajectory at this point.arrow_forwardAn electric field intensity Ez =1kV/m at point P(-2,1,-1) in free space is caused by a charge Qo located at the origin. Solve for Qoarrow_forward
- An electric dipole of 50 az pC.m is located at the (0,0,1). Find the V and E at (0,0,-5) and (2, π/2, π/3). Please remember the dipole is not at the origin and we have spherical coordinates for the second part.arrow_forwardConsider 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_forwardAn electric field propagates along the z-direction and has only one component along the x -axis. It can be generally described by the equation (phasor form): Ex = E+ exp (-jbz) + E- exp (+jbz) At z=0, there is a mirror (perfect conductor); using the boundary condition Ex =0 at z=0, find: The relation between E- and E+ , also known as the “reflection coefficient”. The time expression of the total electric field for z < 0, assuming an angular frequency w. The distance between the maxima and minima of the electric field. (THIS PROBLEM IS ENTIRELY EQUIVALENT OF AN IDEAL TRANSMISSION LINE SHORT-CIRCUITED AT Z= 0).arrow_forward
- Consider the surface charge distributed along the disc with an inner radius of 1m and an outer radius of 2m and a charge density of 3.uc/m2 in the figure. Since the medium is empty space, (a) Find the total charge on the disk. (b) If a 2 uC load is placed at point P1 10 cm above the axis of the load, find the force that will act on this load.arrow_forwardTwo point charges of 1 nC(0,0,0.1) and -1 nC at (0,0,-0.1) are in free space. a) Calculate V at P(0.3,0,0.4), b) Calculate E at P. c) Assume that the two charges form a dipole at the origin, calculate V at Parrow_forwardA sheet of charge, ρS = 2nC/m2, is pressed at the plane x = 3 in free space, and a line charge, ρL = 20nC/m, is located at x = 1, z = 4. Find the magnitude of the electric field intensity at the origin. (Hint: E = ES + EL)arrow_forward
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