Chapter 3, Problem 71QAP

A 50 transmission line is to be connected to a 72 load through a 1/4 quarter wave matching transformer. (a) What must be the characteristic impedance of the transmission line that is used to form the quarter wave transformer? (b) If the frequency of operation is 7 MHz and the phase velocity through the quarter wave section is 2c/3, what is the length of the quarter wave section? You may assume the transmission line forming the quarter wave section is lossless.

2) Ammonia (NH3) is an important base, particularly in wastewaters. Consider a solution that contains a total of 10-3 M of ammonia in water. NH4+ = NH3 + H+ KA=10-9.3 a) Use the equilibrium expression and concept of mass balance to write an expression for each of the following species: log [NH4*] and log [NH3]. b) Prepare a log C-pH diagram for the solution described above. Label each line on your graph with the name of the chemical species it represents. [Notes: Your diagram should contain 4 lines, one for each of the four species in the system. You may draw your diagram by hand or using Excel or other software.] c) Use your diagram to find the equilibrium pH of the solution. Use a circle or “X” to mark your answer point on the diagram. d) Now consider a new solution made by adding 10-3 M of NH4Cl to water. Write the charge balance or proton condition for this solution. Use your diagram to determine the equilibrium pH of this solution. e) Suppose it is winter and your water…

What is the SWR on a transmission line if the forward power arriving at the load is 5W but only 4.6W is dissipated by the load?