Материал готовится,

пожалуйста, возвращайтесь позднее

пожалуйста, возвращайтесь позднее

All right. Good morning. Good morning. So, we have some fun stuff for today's lecture, and as far as the final is concerned and so on, I'd like you to forget about anything we do today, absolutely.

So, get your mind to become a blank, and forget anything you hear in today's lecture. So, what I'm going to show you today will hopefully completely blow your minds. And I'm not talking about controlled substances or anything.

So what I'm going to do is show you a few things that behave completely and spectacularly differently than how you expect them to. And, today's lecture is appropriately called — OK. So, we're going to violate the abstraction barrier here, and do some fun things.

And, the important thing to realize is that in all of 6.002, we have, after all, based on some assumptions we made at the beginning of the course like lumped matter discipline and so on, we have landed ourselves in this playground called the playground of 6.002.

And, within that playground, certain ground rules apply. OK, and our entire course depended on those assumptions being true. So, for example, the first assumption we made that brought us from Maxwell's equations to the lumped matter discipline was, or rather the circuit abstraction, was a lumped matter discipline.

And there were three tenets of the lumped matter discipline. One is that the rate of change of flux was going to be zero within our circuits, not inside elements, but in the circuit itself, and second, the dq by dt was going to be zero outside the elements, and third, something we did not dwell upon in the course, but it's certainly present in the course notes is that the speeds of signals that we are going to consider are going to be much slower than the speed of light.

OK, so we're going to be working in a realm where we are going to be well slower than the speed of light. OK, so starting with that, let me walk you through some examples and some fun stuff. So, the first case is called the Double Take.

So, let me sketch out a small little circuit for you, and take a look at the expected behavior, and then show you what really happens in real life. So, the first case, I have a voltage source, and what I'm going to do is make a transition from a zero to a one.

Think of it as a step input, and through a Thevenin like resistance, I want to feed it to a circuit. The circuit will go to an inverter. This node goes to an inverter, and goes through some other circuits within our own design here.

So, again, remember, a step input here, and this input goes through a Thevenin like resistance, or is applied to some other circuit elements. So, if I apply a step here, what do you expect? You expect that, so let me call that VI, and let me call that Vo.

So, if I plot VI as a function of time, and let's say this step input happens at t=0. So let's say this is t=0 here, and let's say this is a 5V step. So, I expect that this input here is going to go to, VI here, is going to go to 5V at t=0.

What do I expect at Vo? At Vo, based on our circuit abstraction, I get a step input here. I should get a step of some magnitude here, depending on what's connected in this direction. And let's simply say that what's connected here is an inverter, and maybe other inverters at the other side.

So essentially, as far as this node is concerned, it's got some wires connected to it. And at the end of the wires, it has an open circuit, an open circuit, for example, like the gate input of this inverter.

So what do you expect at V nought?

So, get your mind to become a blank, and forget anything you hear in today's lecture. So, what I'm going to show you today will hopefully completely blow your minds. And I'm not talking about controlled substances or anything.

So what I'm going to do is show you a few things that behave completely and spectacularly differently than how you expect them to. And, today's lecture is appropriately called — OK. So, we're going to violate the abstraction barrier here, and do some fun things.

And, the important thing to realize is that in all of 6.002, we have, after all, based on some assumptions we made at the beginning of the course like lumped matter discipline and so on, we have landed ourselves in this playground called the playground of 6.002.

And, within that playground, certain ground rules apply. OK, and our entire course depended on those assumptions being true. So, for example, the first assumption we made that brought us from Maxwell's equations to the lumped matter discipline was, or rather the circuit abstraction, was a lumped matter discipline.

And there were three tenets of the lumped matter discipline. One is that the rate of change of flux was going to be zero within our circuits, not inside elements, but in the circuit itself, and second, the dq by dt was going to be zero outside the elements, and third, something we did not dwell upon in the course, but it's certainly present in the course notes is that the speeds of signals that we are going to consider are going to be much slower than the speed of light.

OK, so we're going to be working in a realm where we are going to be well slower than the speed of light. OK, so starting with that, let me walk you through some examples and some fun stuff. So, the first case is called the Double Take.

So, let me sketch out a small little circuit for you, and take a look at the expected behavior, and then show you what really happens in real life. So, the first case, I have a voltage source, and what I'm going to do is make a transition from a zero to a one.

Think of it as a step input, and through a Thevenin like resistance, I want to feed it to a circuit. The circuit will go to an inverter. This node goes to an inverter, and goes through some other circuits within our own design here.

So, again, remember, a step input here, and this input goes through a Thevenin like resistance, or is applied to some other circuit elements. So, if I apply a step here, what do you expect? You expect that, so let me call that VI, and let me call that Vo.

So, if I plot VI as a function of time, and let's say this step input happens at t=0. So let's say this is t=0 here, and let's say this is a 5V step. So, I expect that this input here is going to go to, VI here, is going to go to 5V at t=0.

What do I expect at Vo? At Vo, based on our circuit abstraction, I get a step input here. I should get a step of some magnitude here, depending on what's connected in this direction. And let's simply say that what's connected here is an inverter, and maybe other inverters at the other side.

So essentially, as far as this node is concerned, it's got some wires connected to it. And at the end of the wires, it has an open circuit, an open circuit, for example, like the gate input of this inverter.

So what do you expect at V nought?

Загрузка...

Выбрать следующее задание

Ты добавил

Выбрать следующее задание

Ты добавил