I have a question relating to complex numbers that I need my workings clarified:
A transmission line under tes has the following primary constants:
L= 125 X 10^-9 Henries per metre
R= 3 X 10^-3 Ohms per metre
G= 1 X 10^-7 per metre
C= 25 X 10^-12 Farads per metre.
Calculate the magnitude of the characteristic impedance with a 5kHz line signal frequency. Comment on the result and mention any reasonable assumption made in your calculation.
So I know that C/Impedance of a transmission line is given by the equation: Z^o = R+jωL/G+jωC
(3x10^-3) + (5x125x10^-9)/ (1x10^-7)+(5 x 25 x10^-12) = 30586.76
Am I right to think the j is = the 5kHz? Also, the intergration of ω? Is that just a continuation?
A transmission line under tes has the following primary constants:
L= 125 X 10^-9 Henries per metre
R= 3 X 10^-3 Ohms per metre
G= 1 X 10^-7 per metre
C= 25 X 10^-12 Farads per metre.
Calculate the magnitude of the characteristic impedance with a 5kHz line signal frequency. Comment on the result and mention any reasonable assumption made in your calculation.
So I know that C/Impedance of a transmission line is given by the equation: Z^o = R+jωL/G+jωC
(3x10^-3) + (5x125x10^-9)/ (1x10^-7)+(5 x 25 x10^-12) = 30586.76
Am I right to think the j is = the 5kHz? Also, the intergration of ω? Is that just a continuation?