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 5.29P
A coaxial conductor has radii a=0.8mm and b=3 mm and a polystyrene dielectric for which
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A 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)
Example 2.24)
In the two-layer uniformly varying field electrode system separated by the X=0 plane, the amplitude of the electric field vector in the first layer is 80kV/cm and the angle it makes with the perpendicular component is 〖20〗^0. Since the relative electric constants of the layers are 4 and 2, respectively, calculate the tangential component of the electric field in the second layer.
Hi, I need help with this question please
Consider a coaxial cable of length l = 50 cm, inner radius of a = 3 cm, and outer radius of b = 5 cm. Due to the conductivity of σ = 0.05 S/m of the dielectric material, a total current of I = 1 mA flows radially outward between the two conductors. Find:a) the current density as a function of r,b) the electric field between the two conductors as a function of r, c) the voltage between the two conductors.
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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- 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.arrow_forward6. If D=3y²a, + 3x²ya, + 5a, C/m², find the total charge enclosed within the region 0 < x,y,z <2 by evaluating one or more surface integrals.arrow_forwardCoaxial 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_forward
- Find the relative permittivity of the dielectric material present in a parallel-plate capacitor if the surface area of the conducting plates is 0.25 square meters, the separation d between them is 0.2 mm, and the potential difference between the plates is 12 V given that the capacitor stores 2 microjoules of energyarrow_forwardAn infinitely long uniform line charge is located at y = 3, z = 5 if ρL = 30nC/m, find E at: (a) the origin; (b) PB(0,6,1); (c) PC(5,6,1).arrow_forwardThe region between the conductors of a coaxial cable with inner conductor radius a=2m and outer conductor radius b=3m is filled with a material with dielectric constant E. If the charge per unit length of the inner conductor is q, which of the following is the capacitance of the unit length of the coaxial cable.arrow_forward
- A sheet of charge , ρs = 2nC/m2 is present at the plane x =3 infree space, and a line charge , ρL = 20nC is located at x=1, z=4.Find the magnitude of the E at the origin. Complete solution.arrow_forwardConsider region 1 (z<0) contains a dielectric for which ϵr=2.5, and region 2 (z>0) is characterized by ϵr=4 .Let E1=−30ax+50ay+70az V/m. The D2 is given byarrow_forwardElectromagnetic question Consider a hollow cylindrical surface centered on the z-axis with radius r = a, carrying a uniform surface current density Jsa = 5 af A/m. Additionally, there is a second cylindrical surface with radius r = b (b > a), which carries a current density Jsb = 4 az A/m. Calculate the magnetic field intensity H(r) for the following regions: 1. For 0 < r < a: Determine H(r) using the given parameters. 2. For a < r < b: Calculate H(r) using the given parameters. 3. For r > b: Find H(r) using the given parameters.arrow_forward
- A uniform line charge of 16 nC/m is located along the line defined by y=-2,2 = 5. Determine E at P(1,2,3).arrow_forwardGiven a coaxial capacitor with the length of L which has two coaxial conductors with radius a=1 cm and b= 4 cm for inner and outer conductor, respectively. The inner conductor carries the total charge of –Q C whilst the outer carries +Q C. If the length of the coaxial, L = 100m and the coaxial is filled with the lossy Teflon (εr = 2.2 and σ = 4 Sm-1), determine: i. Potential Different between r = 3cm and r = 6cm ii. Energy in region a<r<b Note: In dielectric material, permittivity ε=εoεr and D=εEarrow_forwardA very large conducting plate lying in the xy plane carries a charge per unit area of +5.0 nC/m2. A second such plate located above the first plate at z = z0 and oriented parallel to the xy plane carries a charge per unit area of -5.0 nC/m2. Find the electric field for (a) z < 0, (b) 0 < z < z0, and (c) z > z0.arrow_forward
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Demos: Dielectric breakdown; Author: Caltech's Feynman Lecture Hall;https://www.youtube.com/watch?v=2YrHh1ikefI;License: Standard Youtube License