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 4.0rε=. 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 (/)pVft zv+−is a solution to the one dimensional wave equation: 22vvLCzt∂∂=A.Show that )p−+is also a solution. B.Show that )pI gt z v+−and )p−+are solutions of iiLC∂∂=∂∂. C.Use the transmission line equations to express )p−+in terms of )p−+. Problem 3. (40 points)RG58 is a common type of 50 ohm coaxial cable. Assume that a 3 meter length of RG58 is used
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