# open circuit line and Short Circuit line

open circuit line:-

In order to observe the properties of an open circuited Transmission Line, chose a Transmission line of length l and is open circuited at the load end.

from the figure

–  Source voltage (at sending end (or) source end).

–  Source current (at sending end (or) source end).

at Load end   ,    maximum voltage  and .

We knew  that  the input impedance of a Transmission line is given by  .

after substituting the conditions of a open circuit conditions  that is

.

.

if the Transmission line is a loss-less line then    and  .

.

.     since  .

alternative method:-

The alternative way to derive the input impedance is by using voltage and current equations of a basic Transmission line

.

.

at    ,      and  then the equations changes to

.

.

by substituting   in equation(2)  and also choosing the line as loss-less line

.

.     since     and  .

.

.

short circuit line:-

In order to observe the properties of an short circuited Transmission Line, chose a Transmission line of length l and is short circuited at the load end.

from the figure

–  Source voltage (at sending end (or) source end).

–  Source current (at sending end (or) source end).

at Load end   ,    maximum current and  .

We knew  that  the input impedance of a Transmission line is given by  .

after substituting the conditions of a short circuit conditions  that is

.

if the Transmission line is a loss-less line then    and  .

.

.     since  .

alternative method:-

The alternative way to derive the input impedance is by using voltage and current equations of a basic Transmission line

.

.

at    ,      and  then the equations changes to

.

.

by substituting   in equation(1)  and also choosing the line as loss-less line

.

.     since     and  .

.

.     (1 votes, average: 3.00 out of 5) Loading... ## Author: vikramarka

Completed M.Tech in Digital Electronics and Communication Systems and currently working as a faculty.

Posted on Categories Electro Magnetic Theory