Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

Parts D-F

The electric field of a plane wave propagating in a nonmagnetic material is given by: \[ E = \begin{bmatrix} 0 \\ 3 \cdot \cos(2 \cdot \pi \cdot 10^7 \cdot t - 0.4 \cdot \pi \cdot x) \\ 4 \cdot \cos(2 \cdot \pi \cdot 10^7 \cdot t - 0.4 \cdot \pi \cdot x) \end{bmatrix} \cdot \frac{V}{m} \] 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 magnetic field phasor \(\mathbf{H(z)}\). (f) The instantaneous magnetic field \(\mathbf{H(z,t)}\).
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Transcribed Image Text:The electric field of a plane wave propagating in a nonmagnetic material is given by: \[ E = \begin{bmatrix} 0 \\ 3 \cdot \cos(2 \cdot \pi \cdot 10^7 \cdot t - 0.4 \cdot \pi \cdot x) \\ 4 \cdot \cos(2 \cdot \pi \cdot 10^7 \cdot t - 0.4 \cdot \pi \cdot x) \end{bmatrix} \cdot \frac{V}{m} \] 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 magnetic field phasor \(\mathbf{H(z)}\). (f) The instantaneous magnetic field \(\mathbf{H(z,t)}\).
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Step 1: We need to determine intrinsic impedance, magnetic field Phasor and H(z,t)
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Step 2: determining intrinsic impedance, magnetic field Phasor and H(z,t)
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