Derivation of Electromagnetic Waves from Maxwell's Equations

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Amazing video, I am a second year engineering student in Belgium and this video helped a great deal !!

paulvercruysse
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19:36 it should be cos not sin.
Derivative of sin is cos

swaroopnayak
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Thank you for the lectures. I am home-schooling and came across your lectures. Beautiful. Please keep up with your lectures.

linuxgraphix
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Hlw sir a am indian Student I clear all concept of. Maxwell's Equation on electromagnet waves. Thanks US Teacher ❤❤❤

Abhishek-yadav
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i think the derivation will lead to cos, but since they both cancel out on either sides it doesn't really matter.

benjnrasareson
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shouldnt the sin become cos after taking derivative around 19:00?

xianglongmeng
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dood ur the man. im a freshman at MIT tryna self study a class. id watch this over ocw anyday

bboydreamer
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very good effort to derivation and explanation for the most beautiful equations in history of science

essamhassan
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You mixed a sin with a cos but it canceled out anyways, but thank
you very much, I have been looking for this for a long time

NicolasSchmidMusic
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!) In (Phi)B=BA(=BAcos(theta)), why are we multiplying the area in the electric field with B?
2)How is A constant? Does it not change with time?(If E changes with time, then A should also change with time...?)

anwesaroy
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why are you moving counterclockwise on that rectangle? What exactly is that rectangle?

NLblackscorpion
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How did you determine the direction of the rectangular path, I'm just having trouble with that part. Please help

nickasds
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Thanks a lot for the clear explanation. But I have one query about the phase angle. Why there is same phase angle in electromagnetic wave but not in electric circiut

jackiechiu
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Say a positively charged particle moves through a point in free space. That point in space will exhibit a mag field as the charge approaches and then also as the charge leaves (strength dependent on velocity). The mag field observed at the point in free space will reverse polarity when the charge is no longer coming but instead has passed and is now leaving (point in space goes from 0 to positive, then positive back to 0). The space sees an increase in charge, and then a decrease in charge. How fast does the mag field flip? Is this correct thinking?

sir-punchalot
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Great Video, only the derrivation of sin(kx-wt) isn't it -cos(kx-wt)k and -cos(kx-wt)(-w)?  

michaelschoenmaekers
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Corrected Maxwell's Equations
E=cB=zH=zcD, r=ct
0=[d/dr, Del][e, E]
0=[de/dr - Del.E, dE/dr + Del e]
0=[db/dt - Del.E, dB/dt + Del e]

yawasar
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question.
Why not use (z + Δz) in dL?

donniecelestre
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Show that Cartesian components of E and H satisfy the three-dimensional wave equation using Maxwell's equations in a dielectric. Canfued in this problem please reply exam is the nearest! I live in india

ranaacademychannel
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I get how he finds the velocity but in the end when he divides both sides by mu*epsilon, how does it get square rooted?

pmanarsenal
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I think you’re referring to dielectric....not electrical....electricity is the discharge of field

adyday