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(15%) 1 . Two different media are separated by a cylindrical surface or interface as shown below....
Problem5. (16 points) Two dielectrie media are separated by a planar boundary as shown below. The...
Problem5. (16 points) Two dielectrie media are separated by a planar boundary as shown below. The electric field Ez in medium 2 has a magnitude of 10 V/m and makes an angle of 0, 30 with the normal of the boundary. Find (a) the magnitude of E and (b) the angle 0 for e medun 1 medum 2 90 Er
4) Consider two material media separated by the boundary surface at z-0. The region 1, z>...
4) Consider two material media separated by the boundary surface at z-0. The region 1, z> 0 has a uniform electric field given by E! a.20-?-50. obtain a). ?2in medium 2 b) Jand J2 and ch the angle and J2 make with the xz plane 15ms 2 S
5. In reference to the figure below separating two different dielectric media. Media (1) being a...
5. In reference to the figure below separating two different dielectric media. Media (1) being a spherical structure. Dielectric Media 2 a. If = Ř2 + 8 + 8 V/m Find Ēz knowing that surface charge density at the boundary Ps = 4.427x10-11 (C/m²) b. Solve again for Ēz knowing that the spherical surface is charge free c. If the dielectric media 1 (spherical body) is changed to a conductor, evaluate &; and Ęz given that the surface charge density...
Electromagnetic 2. Two loss less, linear and isotropic media are separated from each other by y=Osurface....
Electromagnetic
2. Two loss less, linear and isotropic media are separated from each other by y=Osurface. First medium (v<0) has £1 = 9€0 and 41 = Ho, and the second medium (v>0) has 62 = 4€, and uz = Mo electric permittivities and magnetic permeabilities. v=0 surface is knownto be sourcefree (i.e. with out surface charges and surface currents). IFĒ1 = (@240 +ây160) V/m and B1 = (ây10 – â40) mT are given, find Ē, and B, in the second...
QUESTIONS 1. (30p)The cylindrical closed surface with radius R length L is placed into a nan...
QUESTIONS 1. (30p)The cylindrical closed surface with radius R length L is placed into a nan uniform electrical filed (Ē = (3x2 + 2)2)) as shown in the figure.; a. (15p) Find the total electric flux passing through the closed surface.. b. (15p) Find the total electric charge inside the closed surface. L È R 2. (40p)A conductive spherical shell of inner radius 2R and outer radius 3R is caries a net charge -3Q. The total charge of an insulating...
An interface between two media lies in the yz plane at x -0. If the electric...
An interface between two media lies in the yz plane at x -0. If the electric flux density vector in the medium 1 is given by D,-aa, Ba, +y a, determine the electric flux density D2 in the medium 2. Assume that the permittivity of the materials є, and E2 are known
Problem 4 Suppose that the interface between two different linear media is the yz plane. A...
Problem 4 Suppose that the interface between two different linear media is the yz plane. A monochromatic plane wave of frequency w, traveling in the positive x direction and polarized in the y direction, approaches the interface from left as shown in the figure, where &;(x,t) = Ēo, ei(kıx-wt) û This situation is shown in the following figure (Note that the positive z axis is out of the page) x Ě (x,t) = Egel(kix-wty €1,M1 E2, M2 Using the given...
(1 point) [DL:2/5] A cylindrical conductor of radius R = 0.85 m is centred on the...
(1 point) [DL:2/5] A cylindrical conductor of radius R = 0.85 m is centred on the z-axis. The current density in the conductor is given in cylindrical coordinates: J = 16e (1-p/R)a, A/m? 'a, A/m² Find the total current passing through the plane z = 0. 146.8/e
14. (15 points) Consider a cylindrical waveguide shown in Fig. 2.3 (a) (7 points) Electric field ...
14. (15 points) Consider a cylindrical waveguide shown in Fig. 2.3 (a) (7 points) Electric field inside a cylindrical waveguide filled with a dielectric with relative permittivity e, is given by the following expression: o ex ar Inb/a r (b) (7 points) Calculate corresponding magnetic field H (c) (3 points) Calculate the Poyinting vector S and the power flowing through the surface a <r<b, z = h dl fig 2,3 20 2 2
14. (15 points) Consider a cylindrical waveguide...
30% Three very large planes carrying uniform surface charge densities are located in a medium with...
30% Three very large planes carrying uniform surface charge densities are located in a medium with &r = 2 as shown in Figure 1. Draw the net electric field (E-field) due to the system. Explain what principles you used to obtain the net E-field and comment on the graph. Comment on any assumptions and approximations used. (ii) 15% Calculate the electric field strength and displacement field at the three points shown in Figure 1. 64 =-10 nC/m202 = 10 nC/m²...
Problem5. (16 points) Two dielectrie media are separated by a planar boundary as shown below. The electric field Ez in medium 2 has a magnitude of 10 V/m and makes an angle of 0, 30 with the normal of the boundary. Find (a) the magnitude of E and (b) the angle 0 for e medun 1 medum 2 90 Er
4) Consider two material media separated by the boundary surface at z-0. The region 1, z> 0 has a uniform electric field given by E! a.20-?-50. obtain a). ?2in medium 2 b) Jand J2 and ch the angle and J2 make with the xz plane 15ms 2 S
5. In reference to the figure below separating two different dielectric media. Media (1) being a spherical structure. Dielectric Media 2 a. If = Ř2 + 8 + 8 V/m Find Ēz knowing that surface charge density at the boundary Ps = 4.427x10-11 (C/m²) b. Solve again for Ēz knowing that the spherical surface is charge free c. If the dielectric media 1 (spherical body) is changed to a conductor, evaluate &; and Ęz given that the surface charge density...
Electromagnetic
2. Two loss less, linear and isotropic media are separated from each other by y=Osurface. First medium (v<0) has £1 = 9€0 and 41 = Ho, and the second medium (v>0) has 62 = 4€, and uz = Mo electric permittivities and magnetic permeabilities. v=0 surface is knownto be sourcefree (i.e. with out surface charges and surface currents). IFĒ1 = (@240 +ây160) V/m and B1 = (ây10 – â40) mT are given, find Ē, and B, in the second...
QUESTIONS 1. (30p)The cylindrical closed surface with radius R length L is placed into a nan uniform electrical filed (Ē = (3x2 + 2)2)) as shown in the figure.; a. (15p) Find the total electric flux passing through the closed surface.. b. (15p) Find the total electric charge inside the closed surface. L È R 2. (40p)A conductive spherical shell of inner radius 2R and outer radius 3R is caries a net charge -3Q. The total charge of an insulating...
An interface between two media lies in the yz plane at x -0. If the electric flux density vector in the medium 1 is given by D,-aa, Ba, +y a, determine the electric flux density D2 in the medium 2. Assume that the permittivity of the materials є, and E2 are known
Problem 4 Suppose that the interface between two different linear media is the yz plane. A monochromatic plane wave of frequency w, traveling in the positive x direction and polarized in the y direction, approaches the interface from left as shown in the figure, where &;(x,t) = Ēo, ei(kıx-wt) û This situation is shown in the following figure (Note that the positive z axis is out of the page) x Ě (x,t) = Egel(kix-wty €1,M1 E2, M2 Using the given...
(1 point) [DL:2/5] A cylindrical conductor of radius R = 0.85 m is centred on the z-axis. The current density in the conductor is given in cylindrical coordinates: J = 16e (1-p/R)a, A/m? 'a, A/m² Find the total current passing through the plane z = 0. 146.8/e
14. (15 points) Consider a cylindrical waveguide shown in Fig. 2.3 (a) (7 points) Electric field inside a cylindrical waveguide filled with a dielectric with relative permittivity e, is given by the following expression: o ex ar Inb/a r (b) (7 points) Calculate corresponding magnetic field H (c) (3 points) Calculate the Poyinting vector S and the power flowing through the surface a <r<b, z = h dl fig 2,3 20 2 2
14. (15 points) Consider a cylindrical waveguide...
30% Three very large planes carrying uniform surface charge densities are located in a medium with &r = 2 as shown in Figure 1. Draw the net electric field (E-field) due to the system. Explain what principles you used to obtain the net E-field and comment on the graph. Comment on any assumptions and approximations used. (ii) 15% Calculate the electric field strength and displacement field at the three points shown in Figure 1. 64 =-10 nC/m202 = 10 nC/m²...
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