Transmission lines & reflections

In summary, the conversation discusses the use of a lossless coaxial cable in a data network and the sketching of the voltage at the end of the line as a function of time for a pulse source with specific characteristics. The conversation also mentions the characteristic impedance and the impact of termination on the voltage and current at the end of the line.
  • #1
shivik89
4
0

Homework Statement



[/B]
Can someone help me solving this problem ?
A lossless coaxial cable is used in a data network. it has an er =3 (relative permittivity) It is driven by a pulse
source with internal impedance of 10 ohm, 1 V amplitude, square wave with
duration of both positive and negative pulse 50 ns, with negligible rise and
fall-time. Sketch the voltage at the end of the line as function of time for 300 ns

Homework Equations

The Attempt at a Solution


The Zc = 50 ohms from caluclutation. The one way time delay due to the cable length is 58 ns. At start a voltage of 5/6V positive will propagte to the end it will be there after 58 ns and it will last till 108 ns. after that the negative pulse of -5/6 V will reach the end on 108 ns and will last till 158 ns. I have no idea how it will be with reflections?
 
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  • #2
I think you are assuming that the line is terminated with it's characteristic impedance of 50 ohm.
The characteristic impedance of the line is the voltage to current ratio of the traveling wave.
If the line is open-circuit or short-circuit there will be either zero current or zero voltage at the end.
 
  • #3
+1 You need to know how it's terminated (or make an assumption about how it's terminated from the question).
 

What is a transmission line?

A transmission line is a specialized cable or circuit used to transfer electrical energy from one point to another. It is typically made of conductive materials such as copper or aluminum and is designed to minimize losses and reflections of the energy being transferred.

What are the main types of transmission lines?

The two main types of transmission lines are coaxial and parallel lines. Coaxial lines have a central conductor surrounded by an insulating material and an outer conductor, while parallel lines have two conductors separated by an insulating material.

What is a reflection in a transmission line?

A reflection in a transmission line occurs when there is a mismatch between the impedance of the line and the impedance of the load. This causes some of the energy to be reflected back towards the source, resulting in signal loss and potential damage to the transmission line.

How do you calculate the characteristic impedance of a transmission line?

The characteristic impedance of a transmission line can be calculated using the formula Zc = √(L/C), where Zc is the characteristic impedance, L is the inductance per unit length of the line, and C is the capacitance per unit length of the line.

What are some common methods for reducing reflections in transmission lines?

Some common methods for reducing reflections in transmission lines include using termination resistors at the end of the line, using impedance matching techniques, and using techniques such as stubs and quarter-wavelength sections to adjust the impedance of the line to match that of the load.

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