CHAPTER 2 - Conveying Power at Radio Frequency
122
Now taking the limit for in equation (2.14-17), we can obtain the differential form for the
voltage along the line (2.14-18)(a). Following a similar procedure we can obtain an analogous
expression for the current (2.14-18)(b).
( )
( )
( )
( )
( )
( )
( )
( )
In this case, where losses are incurred along the line, the solution to(2.14-8) will be of the form
( )
[
]
for the voltage and
( )
[
]
[ ]
for the current.
The complex constant is now used in the exponent of the exponential instead of .
√
( )
( )
introduces an exponential decay by adding a real part in the exponent of the exponential. In the
forward travelling wave for instance, in place of
we would use where
(2.14-18)
(2.14-19)
(2.14-20)
Conquer Radio Frequency
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