Single-slit diffraction using phasors

Using phasors to investigate the interference pattern I(θ) produced when a wave diffracts through a single slit of finite width a.
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About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics & Maths up to A Level standard.
My website: benyelverton.com/
#physics #mathematics #diffraction #interference #light #waves #singleslit #laser #intensity #amplitude #oscillations #fringes #phasors #trigonometry #circle #arclength #arc #limit #angle #sector #exponential #complexnumbers #arganddiagram #superposition #soundwaves #electromagneticwaves #physicsproblems #maths #math #science #education

[@elibrahimi1169]

my teacher talked to me about this, and i was searching for a while
and there i go, thanks SIr Ben

[@DrBenYelverton]

Excellent!

[@justmax8145]

Great video

[@abbasibrahim9435]

Its too good. Now, i am gonna share this with my classmates. There was an exam on this topic an nobody understood the lecture. So, everyone just memorized the proof and wrote in the exam

[@DrBenYelverton]

Thanks for your support, I'm glad this helped with your understanding!

[@Songoku-ov1gr]

Thanks Ben,
A clear and concise explanation,. You're a great teacher because you explain each and every relevant step along the way so that even I could follow along. I'll definitely check out your channel when I have time.

[@DrBenYelverton]

Thanks for saying so, I'm glad this was helpful!

[@mingmiao364]

Brilliant! From 6:02 I thought you'd sum a geometric series but the geometric method is really slick

[@elibrahimi1169]

same i thought he'd find a way around that e^nphi if he did the geometric series approach, instead his way of doing it was splendid non the less

[@DrBenYelverton]

Doing it algebraically works well too but I like this method a lot!