Programmed Review for Electrical Engineering, Third Edition

Chapter 7: Communications

Discussion of and problems related to low-frequency transmission, RF transmission, and attenuation.

Introduction

This chapter deals with communications problems that fall into either of two frequency bands: low frequency or radio frequency. The low-frequency band is generally that range between 500 Hz and 1 MHz; this includes telephone transmission problems. The RF range is considered to be anything above 1 MHz; this includes radio and television broadcasting, antennas, and waveguides.

Each band has its own transmission line characteristics, permitting certain unique assumptions to be made.

Low-Frequency Transmission

In this section, the transmission line is treated as a circuit having distributed parameters defined below:

R

=

series resistance, ohms per unit length of line (includes both wires)

L

=

series inductance, henries per unit length of line

C

=

capacitance between conductors, farads per unit length of line

G

=

shunt leakage conductance between conductors, mhos per unit length of line

?L

=

series reactance, ohms per unit length of line

Z

=

R + j ?L = series impedance, ohms per unit length of line

? C

=

shunt susceptance, mhos per unit length of line

Y

=

G + j ?C = shunt admittance, mhos per unit length of line

s

=

distance to point of observation, measured from receiving (or sending) end of the line

I

=

current at any point in the line

E

=

voltage between the conductors at any point

l

=

length of the line

?

=

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