yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

RC step response 3 of 3 example


2m read
·Nov 11, 2024

In the last video, we worked out the step response of an RC circuit, and now we're going to look at a real example. So, this is our answer. This is the step response, the total response to our circuit to a step input. What does this look like?

So, I'm going to move down a little bit. We'll make up a circuit and we'll do a real example here. Let's say we do a step, and the step goes from 2 volts up to, say, 1.1 volts. Let's let R equal 1 kΩ (K ohm) and let the capacitor equal 4 microfarads. So now let's plug these values over here into our solution and see what we get.

Now, first I'm going to work out RC. RC is equal to 1 kΩ times 4 microfarads. And what is that equal? K is +3, and micro is -6, so 1 * 4 is 4 and +3 - 6 is * 10 -3, and that is in seconds. So, that's equal to 4 milliseconds.

Now let's plug the rest of our values in here. V of T, the total response or the step response, equals V2 minus vs. That's the step voltage, 1.1 times e to the us T over 4 milliseconds plus vs plus VSS. VSS is 1.1.

So I went ahead and I plotted this using a computer, and we'll see how close this comes to what we sketched earlier. So here's VT, or the step response, the total response of our RC network to a step voltage. The step voltage is here in rose color, and it goes from 0.2 volts up to—oh, I got it wrong—1.2 volts. Let's change that to the right number: 1.2.

And this is what it looks like. If you go back and compare this to what we saw, what we sketched at the beginning, it'll look pretty similar. So the output voltage, the voltage on the capacitor here, starts at VKN, which is 0.2. It ends up at VS, which is 1.2 in this case, and that's the forced response up here.

In between, it did that smooth exponential curve. That's what the step response of an RC circuit looks like.

More Articles

View All
Choosing The Right Crypto Investment For My Portfolio | Anthony Pompliano
[Music] I see you go on CNBC a few times and, uh, getting some, uh, verbal tussles. You know, back in the day you and I used to have some verbal tussles, which I just want to remind people of. But, uh, recently you’ve been asked about the vaccine mandates…
Gradient and graphs
So here I’d like to talk about what the gradient means in the context of the graph of a function. In the last video, I defined the gradient, um, but let me just take a function here. The one that I have graphed is (x^2 + y^2) (f of xy = (x^2 + y^2)). So,…
Social contract - schmotial contract
People who support the state often say that everyone who lives in the territory claimed by the state has implicitly agreed to abide by the state’s rules; that by not leaving the territory, they’ve entered into a voluntary agreement. This agreement is ofte…
Co-Founder Equity Mistakes to Avoid | Startup School
[Music] Hello, I’m Michael Cybal, and today I’m going to talk about co-founder equity splits and co-founder breakups. To be clear, we want people who are building tech software startups that they expect to be VC funded. You know, this is advice for you. …
Moral Dilemmas That Will Break Your Brain
Imagine you’re going blind. The world slowly becomes a blur. You can no longer see your family or your friends. You can’t see the beauty of a mountain landscape or the ripples in the ocean. Then a YouTuber comes around offering to give you the gift of sig…
Can You Hear the Reggae in My Photographs? | Podcast | Overheard at National Geographic
My mom always said that, um, it’s always best to give bitter news with honey. And so if you know anything about Bob and the science behind his music, every song has a one drop rhythm. The one drop rhythm is a simulation of our heartbeat. So, do that’s pho…