Integrator - Operational Amplifier | Basic Circuits #14

Moving out of calculus class, the operational amplifier integrator is a great tool to have in your op-amp toolbox. As expected, the op-amp integrator takes a voltage in and integrates its behavior over time. In this tutorial, Josh reviews the concept of integration, how to put together an op-amp integrator circuit, derives the mathematical equation that describes its behavior, and finally shows a practical example of it working. Learn the basic concepts of an op-amp integrator and get a good foundational understanding of how it works in real life.

Parts of the video:
0:00 Introduction
0:16 Integration review
3:04 Integrator Circuit
3:41 How the integrator works
5:16 Integrator circuit math
10:24 Integrator circuit setup
11:45 Function generator output
12:11 Practical output with an oscilloscope
15:12 Summary
16:45 The toast will never pop up

CircuitBread is joining the fight to help people more easily learn about and use electronics. With an ever-growing array of equations, tools, and tutorials, we're striving for the best ways to make electronics and electrical engineering topics more accessible to everyone. Come learn electronics with us!

Connect with CircuitBread:

[peterhemmings]

Very useful, thanks. And it's always good when a psychic instructor addresses things that are bothering me, like the issue with the output's wandering DC level

[Lexyvil]

I'm doing Electronics 1, and I forgot everything about intergrals and derivatives, this helped refresh my memory some! Thank you!

[abdallahkhabour]

Great video you made a fabulous effort🅰

[classicalc.d.f.c]

do you have a tutorial for cutoff-frequencies on op-amps?

[jasminf.]

This was helpful but it would have been nice to see the bode plot as well

[sLazar]

Many many thanks, just a quick question if I may, when we design a passive integrator, RC should be a lot larger than T, the period of the Square wave, so is this also the case with the active integrator in this video? Thank you.

[Zombie_Hulk_Gaming]

What is the purpose of this circuit from a practical usage perspective? like what problems does it solve? what do I use it for? And can you make an integrator without the use of an op amp?

[clems]

Im just not getting this for some reason....

[RC_Cola]

What op amp chip are you using in the example? I’m used to pin six being the output but in your case it looked like pin One was the output.

[GeoffryGifari]

is the shrinking of output when we boost the frequency related to how the capacitor becomes more and more like a conducting line as frequency is increased?

and i wonder what would happen if we take an inductor into the mix, knowing that Vʳ = R I, Vˡ = L dI/dt, and Vᶜ = 1/C ∫ I dt

[clifforddicarlo]

What happens when you replace the feedback capacitor with a feedback inductor?

[edb]

So it's like a Real-time calculator that records your voltage every time then adds it to what it already has?

[matrixmodulator]

3:13 hm... i'm no expert but is'nt that a inverting opamp circuit? (you said a non-inverting, non-inverting has the signal coming at the + input of the opamp)

[GeoffryGifari]

i never saw that when we integrate triangular wave, we get a sinusoid. why is it like that? i know that the triangle wave looks like a 'low resolution' jagged sine wave, but there's gotta be more into it than that

[SlyerFox]

Does an op amp always force it's inputs to be nearly the same in all configurations or is it only when using feed back ? 👍

[markderlo]

what is the C value ? @15:20 you say that freq is one thousand kHz ! yet crobshows approx 1000 HZ. What is the opamp you are using?

[GeoffryGifari]

not a criticism, just something i noticed

the differential dt inside the integrals is missing

nice job btw, i've learned about integrator before but not this in-depth

[mitrupaunoiu]

Hello, I appreciate these videos but I have a question about an AO setup that I couldn't find online with a resistor and a capacitor in series together in the loop. I hope You understood my problem and I am waiting for an answer

[nitindeadpool]

Bro sometimes talks so fast like he's a Rapper 💀