How Does Changing Distance Affect Microwave Path Difference?

In summary, changing distance affects microwave path difference by altering the phase relationship between the transmitted and received signals. As the distance increases, the path length for microwaves also increases, leading to greater path differences that can affect interference patterns and signal strength. Understanding this relationship is crucial for optimizing microwave communication systems and ensuring effective signal transmission.
  • #1
heroslayer99
33
6
Homework Statement
Show that the student is correct.
Relevant Equations
x
1706953420488.png

I understand the equation (path difference)/wavelength x 2pi = phase difference, but in this case I do not know how changing the distance of H from the source will affect the path difference. In addition to this, does minima refer to 0 amplitude (complete destructive interference) or does minima just refer to less than maxima? Does a path difference of lambda/2 gurantee the resulting signal has 0 amplitude?
 
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  • #2
Hi,

Zero amplitude can only be achieved when equal amplitude waves interfere. Here, all you are given is that H is a partial reflector.

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  • #3
BvU said:
Hi,

Zero amplitude can only be achieved when equal amplitude waves interfere. Here, all you are given is that H is a partial reflector.

##\ ##
Ok thanks. Any tips on how to do the question
 
  • #4
heroslayer99 said:
Ok thanks. Any tips on how to do the question
What should be the received frequency of the reflections from the moving plate?
 
  • #5
I dont know, 200hz?
 
  • #6
heroslayer99 said:
I dont know, 200hz?
Have you never learnt about the Doppler effect with sound waves?
 
  • #7
No, also aren't these microwaves
 
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  • #8
heroslayer99 said:
No, also aren't these microwaves
You are missing the point!

Tip: find out what 'Doppler radar' is and how it works. Then see if you can apply your new found knowledge to this problem Then ask us to check/advise.
 

FAQ: How Does Changing Distance Affect Microwave Path Difference?

What is microwave path difference?

Microwave path difference refers to the difference in distance traveled by two microwave signals from a source to a detector. This difference can cause constructive or destructive interference, affecting the signal strength received.

How does changing distance affect microwave interference patterns?

Changing the distance between the source, obstacles, or detectors alters the phase relationship between the microwaves. This can shift the interference pattern, resulting in areas of constructive interference (stronger signal) or destructive interference (weaker signal).

Why is understanding microwave path difference important?

Understanding microwave path difference is crucial in applications like wireless communication, radar, and microwave ovens. It helps optimize signal strength, reduce interference, and improve overall system performance.

How can one calculate the path difference in a microwave system?

The path difference can be calculated using the formula: Path Difference = d2 - d1, where d2 and d1 are the distances traveled by the two microwave signals. This difference can then be used to determine the phase difference and subsequent interference patterns.

What practical applications rely on controlling microwave path difference?

Practical applications include wireless network design, where minimizing interference is key; radar systems, where accurate distance measurement is crucial; and microwave ovens, where even heating relies on understanding and controlling the path difference to avoid hot and cold spots.

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