programing project

Engineering

schoool

Question Description

I need you to do my project and make sure about your work.

For this project you will use Python to compute the macroscopic properties (capacitance, inductance, characteristic impedance) of a coaxial transmission line. This involves making use of the summary formulations you've learned in the course so far.

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PROGRAMMING PROJECT #1 Computing Capacitance and Inductance of a Coaxial Transmission Line A coaxial transmission line is not merely a piece of wire, as you have no doubt realized by now. It is capable of supporting the propagation of guided electromagnetic waves, which enables the transmission of information between points. As we have learned in our study of electromagnetic fields so far, particularly through many examples using the coaxial transmission line, there exists an inductance, capacitance and hence a characteristic impedance for the transmission line. For the transmission line above, the relative dielectric constant Ɛ and the relative permeability µ represents media present in the coaxial line. We have shown in previous lectures that the capacitance of the coaxial line can be derived from the charge (hence the E-field) using Gauss’s Law for the formulation shown below. We have also show that the inductance can be similarly derived from the current (hence the magnetic field) using Ampere’s Law for the dual formulation show below. The characteristic impedance of the coaxial line (characterized by the ratio of the outside diameter of the inner conductor d and the inside diameter of the shield D, the dielectric constant of the insulator Ɛ and the permeability µ can be calculated according to the equation: Knowing the capacitance and inductance of the transmission line, it is then possible to construct an equivalent model of the coaxial line (shown below), which enables faster and accurate circuit design for transmission applications. You will learn more about this in subsequent lectures and more advanced courses, should you choose to pursue studies in high speed communications. A few types of coaxial lines as well as their respective typical applications are shown in the table immediately below. ASSIGNMENT: For this assignment you will use the coaxial cable LMR-100A (same as Project #1). More details can be found at http://www.timesmicrowave.com. A copper inner conductor is of diameter d = 0.92 mm. The polyethylene (PE), used as a dielectric insulator, has the relative permittivity Ɛr = 2.30 and the loss factor tan δ = 0.001. The inner diameter of the shield is D = 3.04 mm. The outer conductor consists of aluminum foil which is covered with the copper braid and a layer of plastic. Note that the permeability for this is simply µr=1. Write one or more short Python program(s) to compute and plot the following: • • • Capacitance versus length Inductance versus length Characteristic Impedance versus permittivity(Ɛr) Deliverables: • • • All Python code used Concise write-up/summary (3 pages maximum) of the programming project including brief background theory, diagrams, code, plots and conclusion In-class demonstration of your code being executed ...
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