12.2 The plane z = 0 is the boundary between the air and a magnetic material...
12.2 The plane z = 0 is the boundary between the air and a magnetic material with relative perameability of 100. In the air, H = (Hx, Hy, Hz) = (1, 1, 1) (A/m). Find the B (T) in the magnetic material.
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12.2 The plane z = 0 is the boundary between the air and a
magnetic material...
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0)...
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0) and perfect conductor (z < 0). t 0 and H(0,0,0*) = H ( +2) cos at. (10 Marks) a. Find J, (0,0,0) at b. Find p,(0,00) at t-0 and D(0,0,0*) = E, cos at. (10 Marks)
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0) and perfect conductor (z
Example 5 reads: We consider an infinite slab of a conducting material with magnetic susceptibility xM carring a certain current distribution. The slab is parallel to the xy plane, between z--a andz-...
Example 5 reads: We consider an infinite slab of a conducting material with magnetic susceptibility xM carring a certain current distribution. The slab is parallel to the xy plane, between z--a andz-a. It carries a free volume current density J, (z) -(Joz/a)i which is plotted in Fig 9.12. Above the xy plane the current is out of the page, below it is into the page, and the integrated current density is 0. Outside the slab is vacuum. What are H,...
EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume t...
EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume that this interface is flat and infinite in extent). Both materials have fh -1 and σ :: 0 S/m, where the relative permittivity of air is 1 (Er": 1) and the relative permittivity of pure water is 81 ( = 81). The coordinate system is indicated in the figure above. A uniform plane wave is obliquely incident to the interface,...
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...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
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
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
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and f...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
Please show steps We have that the instantaneous magnetic field H of a wave propagating in...
Please show steps
We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency....
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0) and perfect conductor (z < 0). t 0 and H(0,0,0*) = H ( +2) cos at. (10 Marks) a. Find J, (0,0,0) at b. Find p,(0,00) at t-0 and D(0,0,0*) = E, cos at. (10 Marks)
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0) and perfect conductor (z
Example 5 reads: We consider an infinite slab of a conducting material with magnetic susceptibility xM carring a certain current distribution. The slab is parallel to the xy plane, between z--a andz-a. It carries a free volume current density J, (z) -(Joz/a)i which is plotted in Fig 9.12. Above the xy plane the current is out of the page, below it is into the page, and the integrated current density is 0. Outside the slab is vacuum. What are H,...
EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume that this interface is flat and infinite in extent). Both materials have fh -1 and σ :: 0 S/m, where the relative permittivity of air is 1 (Er": 1) and the relative permittivity of pure water is 81 ( = 81). The coordinate system is indicated in the figure above. A uniform plane wave is obliquely incident to the interface,...
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...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
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
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
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
Please show steps
We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
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