Phase Difference Homework | Solutions in PDF

In summary, the conversation discusses a homework problem involving a phase difference equation and how to simplify it by substituting values for r1 and r2. One person also points out an error in the given equation, as the phase shift should depend on the aperture size.
  • #1
v_pino
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Homework Statement


Please see pdf file. Thank you.


Homework Equations





The Attempt at a Solution


 

Attachments

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  • #2
The work you've done so far is correct. Now substitute r1 and r2 into your phase difference equation, then use the suggested simplification.
 
  • #3
How do I get rid of 'a' since the aperture size is not give?
 
  • #4
I tried letting 'a' = 'y' but I'm a factor of two larger.
 
  • #5
v_pino said:
How do I get rid of 'a' since the aperture size is not give?

Oh, I hadn't realized that. The given equation for phase shift actually has to be wrong, since phase shift must depend on aperture size. Imagine making the aperture extremely small, for example. The phase shift should logically go to zero, but in that equation, it doesn't.
 

FAQ: Phase Difference Homework | Solutions in PDF

What is phase difference?

Phase difference refers to the difference in the starting point or phase of two periodic waveforms. It is measured in degrees or radians and can be used to compare the alignment or synchronization of two waves.

Why is phase difference important?

Phase difference is important because it helps us understand the relationship between two signals or waves. It can be used to analyze interference patterns, determine the coherence of signals, and calculate the time delay between signals.

How is phase difference calculated?

Phase difference can be calculated using the formula: ϕ = (360 * t) / T, where t is the time interval and T is the period of the wave. Alternatively, it can also be calculated by comparing the starting points of the two waves on a graph.

What is the difference between phase difference and phase shift?

Phase difference and phase shift are often used interchangeably, but they have slightly different meanings. Phase difference refers to the difference in starting points of two waves, while phase shift refers to the change in the position of a wave over time.

How is phase difference used in practical applications?

Phase difference has many practical applications in fields such as telecommunications, acoustics, and electronics. It is used to analyze and improve signal processing, design filters and amplifiers, and improve the efficiency of antennas and transducers.

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