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project - ECE 107 Electromagnetism Project Due date March...

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ECE 107: Electromagnetism Project. Due date: March 12 Consider a parallel plate capacitor shown in Fig.1(a). The side width of the plates is w , the thickness of the plates is negligibly small, and separation between the plates is d . The plates are made of perfect electric conductor and the space between the plates is filled with vacuum. 1) Assume that the potential on the bottom and top plate is 0 and 0 V , respectively. Formulate and integral equation for unknown surface charge density distribution s ρ on the plates. You can use the formulation in Set 5, slide # 20. 2) Formulate a discretized problem, i.e. a linear system of algebraic equation, for the discretized charges (see Fig. 1(b). You can use the formulation in Set 5, slides # 21, 22. 3) Write a computer code to find the discretized charges n Q and then to find the capacitance C . You are advised to use Matlab due to its simplicity and the presence of built-in functions for visualization. You are also allowed to use any other programming language/package (e.g. MathCad, Mathematica, C, C++,
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