ECE 3025C -- Electromagnetics Homework Assignment #1 August 30, 2007 Problem 1. (3 points)A trace of width a= 0.15 mm and length L = 3 cm runs along the top of a printed circuit board made of FR4 (nonmagnetic) which has a relative permittivity of 4.9rε=. A.What is the propagation delay for a signal traveling along this trace? B.What is the phase shift for a 500 MHz sinusoidal signal? C.What is the phase shift for a 2.1 GHz sinusoidal signal? Problem 2. (3 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. (4 points)RG174 is a common type of miniature 50 ohm coaxial cable. Assume that a 3 meter length of RG174 is used to connect a 5 volt source to a 225 ohm load resistor.
This is the end of the preview.
access the rest of the document.
Coaxial cable, Transmission line, Printed circuit board, Sine wave