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103年 - 103 國立中山大學_碩士班招生考試_電機系(戊組)、電波領域:電磁學#110204
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題組內容
5.(18%) Briefly answer the following questions:
(c) (6%) Describe the skin effect as detailed as possible.
其他申論題
(c) (10%) Derive an expression for the Q of the cavity assuming a conductivity of o for the plates. Neelect any radiation losses through the sides of the cavity.
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4.(12%) A uniform plane wave with complex propagation constant propagating in a conductive medium with dielectric constant &, conductivity o and permeability H. Use Maxwell's equations to show that whereη is the intrinsic impedance of the conductive medium.
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(a) (6%) What is dispersion? Under what situations will plane wave propagation suffer dispersion?
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(b) (6%) What is a Smith Chart? What are the situations a Smith Chart can be a very useful tool?
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(a) [5 points] Given the size n of the input data, where n is a positive integer, we assume that the running time of a program is O(f(n). State the formal definition of O(f(n)).
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(b) [5 points] Let . Tell us the value of Note that you will et o points if you just povide the ansver. In other words, you must show your reasons.
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(c) [5 points] Given the size n of the input data, where n is a positive integer, we assume that a program requires the running time T1(n) = O( f(n). Derive the function f(n) .
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2. [5 points] Consider the following function F written in a C-like pseudo-code, which takes an array A of n positive integers and an initially-empty stack S as input parameters: What is the output (returned value) of the function F for the array A= [2, 14, 4, 7, 11, 18, 10, 15, 6, 23, 12, 8]?
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(1) [10 points] Please find the vertex sequence derived by DFS and BFS respectively. Note that we assume that node A is the root.
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(2) [10 points] Please apply Kruskal's algorithm to drive the minimum cost spanning tree. Note that you must show your actions step by step.
#471756