The magnetic field of a wave propagating through a certain nonmagnetic material is given by H= 0 0 50.cos(108.t-0.5.y)] MA m Find the following: (a) The direction of wave propagation. The phase velocity. (b) (c) The relative permittivity of the material.
The magnetic field of a wave propagating through a certain nonmagnetic material is given by H= 0 0 50.cos(108.t-0.5.y)] MA m Find the following: (a) The direction of wave propagation. The phase velocity. (b) (c) The relative permittivity of the material.
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![### Electromagnetic Wave Propagation Through a Nonmagnetic Material
The magnetic field of a wave propagating through a certain nonmagnetic material is given by:
\[
\mathbf{H} = \begin{bmatrix}
0 \\
0 \\
50 \cdot \cos(10^8 \cdot t - 0.5 \cdot y)
\end{bmatrix} \cdot \frac{\text{mA}}{\text{m}}
\]
#### Tasks:
Find the following:
(a) **The direction of wave propagation.**
(b) **The phase velocity.**
(c) **The relative permittivity of the material.**
(d) **The intrinsic impedance.**
(e) **The electric field phasor.**
(f) **The instantaneous electric field \( \mathbf{E}(y,t) \).**
For these tasks, you may need to derive and calculate values based on standard electromagnetic theory and material properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bdca33e-fe41-4c4f-b2f7-f887541be3fa%2F342939b6-0ff1-441b-9432-06e6c4e5bf84%2Fgmcmggb_processed.png&w=3840&q=75)
Transcribed Image Text:### Electromagnetic Wave Propagation Through a Nonmagnetic Material
The magnetic field of a wave propagating through a certain nonmagnetic material is given by:
\[
\mathbf{H} = \begin{bmatrix}
0 \\
0 \\
50 \cdot \cos(10^8 \cdot t - 0.5 \cdot y)
\end{bmatrix} \cdot \frac{\text{mA}}{\text{m}}
\]
#### Tasks:
Find the following:
(a) **The direction of wave propagation.**
(b) **The phase velocity.**
(c) **The relative permittivity of the material.**
(d) **The intrinsic impedance.**
(e) **The electric field phasor.**
(f) **The instantaneous electric field \( \mathbf{E}(y,t) \).**
For these tasks, you may need to derive and calculate values based on standard electromagnetic theory and material properties.
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Given,
H = 50 cos(108t - 0.5y) az mA/m
a. The direction of wave propagation
b. The phase velocity
c. The relative permittivity of the material
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