Impedance of open and short circuit Transmission Line

calculate the electric length of the transmission line according to the impedance.


Parameters

Impedance
`Z_(i)` \(j\Omega\)
Characteristics impedance
`Z_0` \(\Omega\)
Frequency
f \(Hz\)

Output

wave length `lambda`

`lambda=c/f`

wave number `beta`

`beta=(2pi)/lambda`

capactor C

`1/(j omega C)=Z`

Inductor L

`j omega L=Z`


Open Circuit

Electric length 

`Z_i(d)=-jZ_0 1/tan(beta d)`

length d


Short Circuit

Electric Length 

`Z_i(d)=Z_0 tan(beta d)`

length