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ECE3025C_Homework1_F2005

ECE3025C_Homework1_F2005 - ECE 3025C Electromagnetics...

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ECE 3025C -- Electromagnetics Homework Assignment #1 August 23, 2004 (This homework set is due at the beginning of class on September 1, 2005) Problem 1. (30 points) A trace of width a = 0.15 mm and length L = 4 cm runs along the top of a printed circuit board made of glass epoxy (nonmagnetic) which has a relative permittivity of 4.0 r ε = . A. What is the propagation delay for a signal traveling along this trace? B. What is the phase shift for a 1 GHz sinusoidal signal? C. What is the phase shift for a 2.5 GHz sinusoidal signal? Problem 2. (30 points) In class we showed that ( / ) p V f t z v + is a solution to the one dimensional wave equation: 2 2 2 2 v v LC z t = A. Show that ( / ) p V f t z v + is also a solution. B. Show that ( / ) p I g t z v + and ( / ) p I g t z v + are solutions of 2 2 2 2 i i LC z t = . C. Use the transmission line equations to express ( / ) p I g t z v + in terms of ( / ) p V f t z v + . Problem 3. (40 points) RG58 is a common type of
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