RLC Circuits - Differential Equation Application

One application of differential equations comes from electrical engineering, and it's RLC circuits! We'll look at how undetermined coefficients and Laplace transforms can be applied.

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[josueolivos]

although you didnt solve them. this definitely helped me get a deeper understanding. I forgot current is the derivative of charge. im still struggling but damn this helped fr fr

[GooogleGoglee]

Would be nice to see some concrete example of specific problem solving

[aljoker]

A coil of inductance L Henry and a capacitor of C Farad are connected in series if I=I0, Q=Q0 when t=0 Find: Q and I when t<0

[reyadramahi]

Thank you this video was absolutely marvelous and helped with my math project!!!!

[arthyrgoldengate]

Really wish there was an example applying this method.

[alokupadhyay]

Thanks. It came as a question to compare the elements of the equation to that of damped oscillations.

[JanekMazowiecki]

dont know if anyone will reply, but if there was no voltage source then V(t) would be replaced with 0?

[nvapisces]

Woah this came out as a question in A level 2018 Paper 1

[ciao_its_gia]

hi can you make a video with some examples solving the two diff eq methods (:

[rodericksibelius]

Can You do a thorough real world circuit showing the step by step calculations explaining the 3 three damping criterias for this RLC circuit, for a practical application in the REAL WORLD, please!... Would be Great. Knowing how to manipulate mathematical expressions on a board using calculus is senseless and worthless to STUDENTS / LEARNERS if one cannot explain how the Inductor and capacitor qualitative physical understanding of how they behave IN CIRCUTS in the real world as a SEASONED EXPERIENCED 'Professional Electronics Technician does using only 'algebra and trigonometry' without those highly theoretical differential equations and Laplace transforms which is the area of Geniuses, Designers = Electrical Engineers.

[muradbashirov]

V(t) cannot be cost it could be V_0coswt