Understanding FLP Vol 1, Section 30.1: Struggling w/Magnitude & Phase

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Section 30.1 of FLP Vol 1 discusses the graphical method of phasors for summing sine functions with phase differences, which can be confusing for some readers. The first figure in this section is particularly challenging, as it relates to the geometric interpretation of oscillators represented in a circular format. Equation 30.3 is derived from these geometric arguments, and understanding its application requires a grasp of the physical representation of the vectors involved. Clarifying the relationship between magnitude, phase, and their graphical representation can aid in comprehending the material. Overall, a deeper understanding of phasors and their application in calculating intensity is essential for mastering this section.
Special K
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I’m having trouble understanding section 30.1 of FLP Vol 1. Particularly the first figure is causing me struggle. I understand magnitude and phase, such as fig 29-9 when 2 waves are added to get an effective resultant vector. But I’m struggling to see how equation 30.3 is applicable when it’s derived from geometric arguments that the oscillators are in a circle, what the vectors in 30-1 represent, and when this equation is applicable. Could anyone offer insight here, I’m just totally lost on this section.

Thanks, I know it wasn’t a great question, but I follow all the math, I just don’t understand what’s going on physically, and it is also making me not understand fig 30-3.
 
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FLP?
 
Vanadium 50 said:
FLP?
perhaps it's Feynman's lectures in physics.
 
Fig. 30.1 uses the graphical method of phasors to compute the sum of sine functions with phase differences. Have a look at chapter 2 "Calculation of the intensity by the method of phasors" in:
Intensity of single slit diffraction - SCIPP
 
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