335 lines
8.2 KiB
Plaintext
335 lines
8.2 KiB
Plaintext
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"text": [
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null,
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"SPEAKER 1: In this sequence, are\ngoing to look at a whole",
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"bunch of techniques for\nanalyzing circuits.",
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"Think of these as your tool\nchest. So you are embarking on",
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"6.002 and going on to build\nlots of useful electronic",
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"systems.",
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"But before we go and build these\nsystems, much like a",
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"carpenter who needs to go build\na house, much like a",
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"carpenter has to go and buy a\nset of tools from the local",
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"store, we need to go and make\nsure that you have the tools",
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"in your tool chest to analyze\nthese circuits.",
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"This tool chest will include\nthings like the KVL KCL",
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"method, the Node method\nand so on.",
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"But before I begin talking about\nthese techniques for",
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"your tool chest, I'd like to do\na extremely quick review--",
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"as is my usual practice--",
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"of what you've covered so far.",
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"So remember our EECS\nplayground.",
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"We've gotten into this place by\npromising that we are going",
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"to observe the lumped\nmatter discipline.",
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"By observing the discipline\nrecall that the complexities",
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"of Maxwell's equations and the\ndifferential equations that",
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"you have to solve-- the\npartial differential",
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"equations-- goes away.",
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"And you're left with very\nsimple linear equations.",
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"And you will see a lot\nof that today.",
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"As you make the lumped matter\ndiscipline, you end up with",
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"these lumped elements, like\nresistors and voltage",
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"sources and so on.",
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"And what you do with these\nlumped elements is we can",
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"label what are called the\nbranch variables or the",
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"terminal variables for these\nlumped elements, OK?",
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"So for example, v is the voltage\nacross the element.",
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"And i is the current through\nthe element.",
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"The power consumed by the\nelement is given by vi.",
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"Continuing with our review, the\nlumped matter discipline",
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"enables us to create the lumped\ncircuit abstraction.",
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"So you take these lumped\nelements and you connect them",
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"with ideal wires.",
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"So in this case, I have a\nresistor which is a lumped",
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"element, a voltage source.",
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"And I connect them with\nthese ideal wires.",
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"And what you end up with is\ncalled a lumped circuit.",
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"But this is your lumped\ncircuit abstraction.",
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"Well as we made the transition\nfrom physics to EECS by",
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"adhering to the lumped\nmatter discipline.",
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"I had discussed in the last\nsequence that Maxwell's",
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"equations turn into very simple\nalgebraic equations.",
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"And these are captured by\nKirchoff's voltage and current",
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"laws, called KVL and KCL.",
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"So KVL says that for all loops\nin your circuit, the sum of",
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"the voltages around the\nloops add up to zero.",
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"Similarly for all the nodes in\nthe circuit, the currents that",
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"enter into a node\nadd up to zero.",
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"And in the same matter, if I\njust summed the currents",
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"leaving a node, they also\nadd up to zero.",
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"So whether you sum the currents\nentering the node or",
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"currents leaving a node, they\nwould add up to zero by KCL.",
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"And the beauty of this was by\nadhering to lump matter",
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"discipline, recall the\ncomplexities Maxwell's",
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"equations whether an\nintegral form or",
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"differential form went away.",
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"And we were now left with\nextremely simple algebraic",
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"expressions of the sort.",
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"And you will see shortly that\nyou will end up solving",
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"extremely simple linear\nequations",
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"as we analyze circuits.",
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"So as one example here\nis a linear circuit.",
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"It has one, two, three, four,\nfive, six elements.",
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"It's got a voltage source\nof a voltage v zero.",
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"It's got a resistor, r one\nand so on and so forth.",
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"So for this circuit according\nto our abstraction and the",
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"laws of KVL and KCL,\nthe following",
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"are going to be true.",
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"So for instance if I look at\nnode a, then according to KCL,",
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"the currents entering the\nnode must be zero.",
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"So in other words, the\ncurrent here is ica.",
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"And I can sum to that\nthe current",
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"entering from the d direction.",
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"So that would be plus ida.",
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"And then there is a current from\nthe ba direction and iba.",
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"Those are going to\nsum to zero.",
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"Now I can multiply the whole\nthing by minus 1.",
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"And that would give me the sum\nof the currents leaving the",
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"node are also going\nto be zero.",
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"So that is KCL.",
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"Now I can also write KVL in this\ncase for this loop, for",
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"instance, here.",
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"For this loop I can add up the\nvoltages around the loop.",
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"And by KVL they must\nadd up to zero.",
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"So for example if I look at\nthe voltage vca, I can add",
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"that to the next voltage here.",
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"That is to vab and then\nadd that to the",
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"final voltage, vbc.",
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"And by KCL--",
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null,
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"so all of those must\nadd up to be zero.",
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"Now if you go back to our\ncircuit here that you see on",
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"the left hand side, I am going\nto show you a little demo that",
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"will look at these currents,\nica, ida, and iba, and also",
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"look at the voltages, vcabab\nand bbc and actually go and",
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"look at the circuit, make the\nmeasurements, and show that",
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"they indeed sum up to zero.",
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"Not surprising.",
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"KVL and KCL really work.",
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"And so the demo should\nalso work.",
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"OK.",
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"So let's go and do our demo.",
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null
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]
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} |