RC step response 1 of 3 setup

Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacadem...
The RC step response is an exponential curve. We set up the circuit and create the differential equation we need to solve. We introduce the technique of Natural response + Forced response.

[@ohgetawesome]

Terminology correction:
It's an "ordinary" differential equation because the functions involved are functions of one variable.

[@emlmm88]

These videos have been incredibly helpful. Thank you.

[@ozzy9540]

thanks , I've been watching you're videos on the khan academy app , you're a great teacher , that a 13 year old understands (I'm 13 ):)

[@erichacop3005]

2:35 Why is the i the same at two points? Wouldnt the i after the resistor be smaller than the i on the left side of resistor?

[@curtpiazza1688]

Great!

[@nachiketbelwalkar2939]

i think that differential equation is Linear differential equation where Vs is pulse input

[@nachiketbelwalkar2939]

sorry Vs as step input

[@DulceSeeker]

why does Vr= Vs-Vc and not other way around? Can you explain using reference point...

[@akosv96]

Fair point because the *i* sign shows the current in the other direction. The reason probably is that Vs is a bigger voltage (more positive than Vc) so the positive charges move (they don't but as an agreement they do) to Vc from Vr's positive side until the equilibrium. I'm not sure either but maybe.

[@ChiragBharadwajYT]

It's a simple application of Kirchhoff's Voltage Law (assuming a clockwise conventional current). Recall that we have Vs - Vr - Vc = 0, because we gain Vs, we drop Vr, and we drop Vc, and then we're back where we started. This leads to Vr = Vs - Vc when we rearrange.

[@kevindouteau7316]

what?😕😕😕😕😕😕😕😕😕😕😕😑😑😑😑😑😑😑😑😑😐😐😐😐😐😐😐😐😕😕😕😕😕😕😕😕😑😑😑😑😑😑😑😐😐😐😐😐😐😕😕

[@lucasortengren3844]

K