Change in Frequency/Wavelength in Doppler Effect

AI Thread Summary
Determining the change in frequency or wavelength in the Doppler effect requires understanding whether the source is moving towards or away from the observer. When the source approaches, the frequency increases and the wavelength decreases, while the opposite occurs when the source moves away. The equations Δλ / λ = v / c and Δf / f = v / c help calculate these changes, but the sign of the change (positive or negative) depends on the specific scenario. It's essential to analyze the situation carefully, as different cases can yield different results. Understanding these principles is crucial for accurate calculations in Doppler effect problems.
Samurai44
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Greetings ,
Many Doppler effect questions require to find the final Frequency/Wavelength. so after using the equation :
Δλ / λ = v / c or Δf / f = v / c
How can I know if the change in Frequency/Wavelength is positive or negative to calculate the final frequency or wavelength. because sometimes they add the change to initial but in others they subtract .

i know this's all related to :
* Δf= ff - fi or Δλ=λf - λi
* Source approaching: frequency increase , hence wavelength gets shorter
* Source moving away : frequency decrease , hence wavelength gets longer
 
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One way to imagine this fact is to thinking about the distance. If distance get shorter then λ get shorter. Source frequency does not change but for the adapter it likes to be larger.
 
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Samurai44 said:
Greetings ,
Many Doppler effect questions require to find the final Frequency/Wavelength. so after using the equation :
Δλ / λ = v / c or Δf / f = v / c
How can I know if the change in Frequency/Wavelength is positive or negative to calculate the final frequency or wavelength. because sometimes they add the change to initial but in others they subtract .

i know this's all related to :
* Δf= ff - fi or Δλ=λf - λi
* Source approaching: frequency increase , hence wavelength gets shorter
* Source moving away : frequency decrease , hence wavelength gets longer
It will depend on the situation. You need to understand various cases (there are 4 cases for sound) and pick-up the right sign.
https://s-media-cache-ak0.pinimg.com/originals/fa/4d/02/fa4d027ccc0ebeca28acd83c84aa2861.jpg
 
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I was using the Smith chart to determine the input impedance of a transmission line that has a reflection from the load. One can do this if one knows the characteristic impedance Zo, the degree of mismatch of the load ZL and the length of the transmission line in wavelengths. However, my question is: Consider the input impedance of a wave which appears back at the source after reflection from the load and has traveled for some fraction of a wavelength. The impedance of this wave as it...
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