Why Does Wave Reflect at Impedance Discontinuity?

In summary, the characteristic impedance of a cable is its high frequency impedance and is determined by the ratio of voltage to current in the cable. The wave's velocity is also dependent on the medium's permitivity, which is in turn influenced by the frequency of the wave.
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decesicum
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Why does a wave reflect when it meets an impedance discontinuity? And why is there a 180 degrees phase shift of the reflected wave when the transmission line finished with short circuit and no phase shift when the far end of the line is opened?
 
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Tell us what you know so far about these questions, so that we can help you. We do not provide solutions to homework and coursework questions here on the PF (that's against our rules), but we are more than willing to help if you show us what your thoughts are so far.

Like, how do you define characteristic impedance? What is the relationship between the wave and the impedance of the medium that it is traveling through?
 
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The characteristic impedance of a cable (it was coaxial cable I was interested in) is, as far as i know, its high frequency impedance (if we supply the line with some signal, the line draws some current from the source and the ratio voltage/current defines the characteristic impedance of the cable. (the cable acts as a series of LC cells, and is lossy because of its resistance)
As regards the relation betwen wave and medium impedance, I don't know if there is a general formula to characterize this. I know that the wave's velocity depends on medium permitivity which in turn is dependendent on waves' frequency.
 

FAQ: Why Does Wave Reflect at Impedance Discontinuity?

Why does a wave reflect at an impedance discontinuity?

A wave reflects at an impedance discontinuity because of the change in impedance along the transmission line. Impedance is the measure of resistance to the flow of a wave, and when it encounters a change in impedance, part of the wave is reflected back towards its source.

What factors affect the amount of reflection at an impedance discontinuity?

The amount of reflection at an impedance discontinuity is affected by the difference in impedance between the two sides of the discontinuity, the frequency of the wave, and the angle of incidence at which the wave hits the discontinuity.

How does the impedance discontinuity impact signal integrity?

The impedance discontinuity can cause signal degradation and reflection, leading to a decrease in signal integrity. This can result in data errors and distorted signals, especially at high frequencies.

Can impedance matching be used to reduce reflection at an impedance discontinuity?

Yes, impedance matching can be used to minimize reflection at an impedance discontinuity. This is achieved by adjusting the impedance of the transmission line to match the impedance of the load, resulting in a smoother transition and less reflection.

What are some common applications of impedance discontinuities?

Impedance discontinuities are commonly found in electronic circuits, as they can be caused by changes in components such as resistors, capacitors, and inductors. They are also encountered in transmission lines and antennas, where they can affect signal transmission and reception.

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