1.What is Boundary conditions for Electric potential(V) at Two dielectric material(epsilon_r1, epsilon_r2)'s boundary? Use these Boundary...
1.What is Boundary conditions for Electric potential(V) at Two dielectric material(epsilon_r1, epsilon_r2)'s boundary?
Use these Boundary conditions.
E_t1-E_t2=0
D_n1-D_n2=0
2.What is Boundary conditions for Intensity of Polarization(vector P) at Two dielectric material(epsilon_r1, epsilon_r2)'s boundary?
Use these Boundary conditions.
E_t1-E_t2=0
D_n1-D_n2=0
Homework Answers
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1.What is Boundary conditions for Electric potential(V) at Two
dielectric material(epsilon_r1, epsilon_r2)'s boundary?
Use these Boundary...
The boundary between two materials is the xr = Material 1, which has a dielectric constant...
The boundary between two materials is the xr = Material 1, which has a dielectric constant of 2. The x < 0 region is filled with Material 2, which has a dielectric constant of 5. There is no free charge on the x =0 plane. If the electric field intensity in Material 1 is E-(10,-20, 15) V/m, determine E2. 0 plane. The x > 0 region is filled with
1. (10 pts) Electrostatic boundary conditions. The boundary between two dielectric materials with...
Electrostatic Boundary Conditions
1. (10 pts) Electrostatic boundary conditions. The boundary between two dielectric materials with relative permittivities of Er-3 and Er | 1s the y--x plane. El and E, are electric fields at the boundary and inside materials1 and 2, respectively. E21 Material 2 62=1 Material1 (a) Find E2 if E, 37 and there is no free surface charge on the boundary between the two materials (b) Find Eland E, if the x-component of E! is 1V/m, the y-component...
A point charge q is placed in the center of a solid dielectric sphere of radius R and permittivit...
Pleasee I need the best answer!
A point charge q is placed in the center of a solid dielectric sphere of radius R and permittivity e constant. Assume that the dielectric material of the sphere is linear and that the point charge in the center of the sphere is the only free charge a Determine the electrical displacement inside and outside the sphere. b. Determine the electric field inside and outside the sphere c. Determine the polarization vector using (1)...
Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-...
Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-Ho) and are described by their respective complex electric field vectors as shown below: (a) [2 marks] Write down the direction of propagation of wave 1 and that of wave 2 (b) [2 marks] Write down the polarization-direction of wave 1 and that of wave 2. (c) [4 marks] What is the total (real) electric field Etot-Ei +E2? (d) [4 marks] What is the total...
Please step by step for D(electric flux density), E(electric field), V(electric potantial), P(polarization vector) ? A...
Please step by step for
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A positive point charge Q is at the center of a spherical dielectric shell of an inner radius Ri and an outer radius RO. Determine E, V, D, and P as functions of the radial distance R. a)R>RO b)Ri<R<RO c)R<R find it. E1 = 60 €2 = Erzo (E3 = 6,360 = 0 - R + Ro conductive dielectric dielectric
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A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with...
A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a "frozen-in" polarization P(r) 0 r<a P(r) ksin(0)/r r a<r<b where k is a constant, r is the distance from the center, and r is the radial unit vector. There is no free charge in the problem 1. Find expressions for all the bound (volume and surface) charge. Interpret with a diagram. 2. Determine the total bound charge. Be aware if the bound charge...
1) Suppose the electric field is incident from air (z < 0) on a dielectric slab...
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The indicated answer might not be correct. Consider a boundary surface between two dielectric media represented...
The indicated
answer might not be correct.
Consider a boundary surface between two dielectric media represented in the figure by the horizontal line, with relative permittivities €ri = 1 and Ex2 = 2 respectively. Assuming that there is no surface charge on the boundary, which of the cases indicated by (a) to (f) in the figure represent the possible electric field intensity vectors on the two sides of the boundary? 2 F1 7 E1 81 VE2 E2 7 E1 case...
The boundary between two materials is the xr = Material 1, which has a dielectric constant of 2. The x < 0 region is filled with Material 2, which has a dielectric constant of 5. There is no free charge on the x =0 plane. If the electric field intensity in Material 1 is E-(10,-20, 15) V/m, determine E2. 0 plane. The x > 0 region is filled with
Electrostatic Boundary Conditions
1. (10 pts) Electrostatic boundary conditions. The boundary between two dielectric materials with relative permittivities of Er-3 and Er | 1s the y--x plane. El and E, are electric fields at the boundary and inside materials1 and 2, respectively. E21 Material 2 62=1 Material1 (a) Find E2 if E, 37 and there is no free surface charge on the boundary between the two materials (b) Find Eland E, if the x-component of E! is 1V/m, the y-component...
Pleasee I need the best answer!
A point charge q is placed in the center of a solid dielectric sphere of radius R and permittivity e constant. Assume that the dielectric material of the sphere is linear and that the point charge in the center of the sphere is the only free charge a Determine the electrical displacement inside and outside the sphere. b. Determine the electric field inside and outside the sphere c. Determine the polarization vector using (1)...
Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-Ho) and are described by their respective complex electric field vectors as shown below: (a) [2 marks] Write down the direction of propagation of wave 1 and that of wave 2 (b) [2 marks] Write down the polarization-direction of wave 1 and that of wave 2. (c) [4 marks] What is the total (real) electric field Etot-Ei +E2? (d) [4 marks] What is the total...
Please step by step for
D(electric flux density), E(electric field), V(electric potantial),
P(polarization vector) ?
A positive point charge Q is at the center of a spherical dielectric shell of an inner radius Ri and an outer radius RO. Determine E, V, D, and P as functions of the radial distance R. a)R>RO b)Ri<R<RO c)R<R find it. E1 = 60 €2 = Erzo (E3 = 6,360 = 0 - R + Ro conductive dielectric dielectric
3. Two dielectric materials (material 1 and 2) are combined either in series (Case A) or parallel (Case B) arrangements as shown in the figure below. The relative permittivity for material one is 10 while the relative permittivity for material two is 3000. A voltage of 100 volts is applied across the entire the top surface while the bottom is grounded (0 Volts) in both cases. The z- direction is up with z-0 representing the bottom ground. Calculate for each...
A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a "frozen-in" polarization P(r) 0 r<a P(r) ksin(0)/r r a<r<b where k is a constant, r is the distance from the center, and r is the radial unit vector. There is no free charge in the problem 1. Find expressions for all the bound (volume and surface) charge. Interpret with a diagram. 2. Determine the total bound charge. Be aware if the bound charge...
1) Suppose the electric field is incident from air (z < 0) on a dielectric slab (o-zc d), where the thickness of the dielectric is a half wavelength (d λ/2 in Medium 2), Medium 3 is also air. a) Express the boundary conditions at z 0. b) Express the boundary conditions at z-d c) Find the coefficients Er,略略 d) Calculate the reflection coefficient at z 0. (40 points) Medium 3 Medium 2 Medium 1
The indicated
answer might not be correct.
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