Problem

Various combinations of material parameters and frequency. Consider the following...

Various combinations of material parameters and frequency.

Consider the following combinations of material parameters and frequency: (a) glass

and copper (εr = 1 and σ = 58 MS/m) at a frequency of f = 100 kHz, and (b) rural ground from MATLAB Exercise 6.12 at frequencies of f1 = 12.84 GHz, f2 = 12.84 MHz, and f3 = 12.84 kHz, respectively. For each of them, determine if the material is a good dielectric [use the criterion σ/(ωε) < 1/100], good conductor [σ/(ωε) > 100], or quasi-conductor [1/100 ≤ σ/(ωε) ≤ 100], and calculate, in MATLAB, the attenuation and phase coefficients, dB attenuation per meter traveled, wavelength, and phase velocity of a uniform plane wave propagating in the material, as well as the complex intrinsic impedance of the material. Use approximate (simpler) expressions for good dielectrics or good conductors. (ME7 19.m on IR) H

HINT:

For good dielectrics, α (in Np/m), β, η, α in dB/m, λ, and vp should be computed using Eqs.(7.17), (7.15), (7.4), and (7.6), respectively. For quasi-conductors, these parameters should be evaluated based on Eqs.(7.13), (7.15), (7.4), and (7.6). Finally, Eqs.(7.18), (7.15), (7.4), and (7.6) should be invoked if the material at a given frequency is classified as a good conductor.

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