RLC Circuit Differential Equation | Lecture 25 | Differential Equations for Engineers

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How to model the RLC (resistor, capacitor, inductor) circuit as a second-order differential equation.

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bestest explanaition amongst the bestest. weldone proffessor

zainmohammad
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First non-indian eee channel. thank god.

ardasaracc
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Dear Prof. Chasnov, thank you for the whole "for engineers" series! ! Very much helpful for my self-learning! Question: though said you won't do how to define Q, can you give a reference of how? is there a method or simply by guess and try?

yugao
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Great vid!! But were you writing backwards? 🤔

thewld
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thank you for the clear explanation! :)

rashmikababajee
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Sir Why did you assume E⁰ to be coswt and not sinwt

eec
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Why do we have to make non dimensional parameters

atuhairedruscilla
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could you please tell me how you write in the screen ?

zakariaesadiki
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Dear Pro.chasnov understood the circuit in short form of vr vl vc but I still didn't understand the full form of vl pls reply😕

Thank you by vivaan shah....

ozunayt
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Thanks a lot for the explanation sir, been a big help.

Also, on a side note, you do kinda remind me of Mike Ehrmantraut from Breaking Bad xD. No offense sir, only compliments :)

sooryan_
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Isn't the voltage supposed to be Vl=-Ldi/dt ??....where people Mix up Kirchoff laws with Faraday's, the total emf should be -Ldi/dt then crossing over makes it positive so it looks like KVL equations when its not
Vl=-LdI/dt, Vr=IR,Vc=Q/C..

Adding according to faradays law :IR + Q/C + 0 =- L(d^2Q/dt^2)
Then taking all the terms to the right side makes the induced voltage positive and they all equate to zero ....so KVL is wrong to be used in this analysis as there's no Potential across an ideal inductor because there is no electric field

mannyquinn
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Could you say something when cosωt < 0? Could Lq'' + Rq' + q/C = -εcosωt ? THANKS!

bereshyitbara
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How does this math apply to a real world scenario? What would this be used for?

ddvss
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Can you tell me is that a higher order linear df eq

abduljabbar
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is he writing backwards on his side of the board?

blemarr
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How do you present this equation d^2u/dt^2 + k(dt/dt) + ꙍ^2u = αu^3 in the form of the energy balance equation. Find the total instantaneous energy of the circuit E and the dissipative function F.

lunar-flpo
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Question: Why did you move to Hong Kong? Curious!

faridb
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great explanation but eeeehhh. the squeaking of the marker

lyndonmerciales
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Prof. Chasnov I have a question. What if the circuit elements or components are in parallel instead of series configuration? What would the differential equation look like?

quest
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The video sound is forward and video is back

karthikdumathi