Darstellung einer Impedanz-Ortskurve für ein einfaches Netzwerk (aus Aufgabe 147) in LTspice

In this video I would like to briefly show how to train intensely and visualize the impedance curve of a circuit in frequency capacity. As an example, on the one hand, it is easier to take a picture of task 47, the front seats intuitively at night it is always good to do it again. Think about what this looks like since this circuit only consists of resistors and an inductance, you hope something intimate, that is, if I have a kronia ko system here or just pay off the level, lean towards the impedance, then you just hope that what is positive has part because in the plants there should be a more than sublime positive, a very resistance real.

Negative resistance is not particularly physical and also a positive energy. The soldiers from the mainland breathe in the middle like local groups. sometimes we sit around this parallel circuit, for example, we realize that we expect mainly or actually only negative imaginary parts to appear, so the real part of the atmed is sufficient if the imaginary part is always negative, so that you really only need the negative part, just the bottom area. worrying and switching between numbers for the ATM should dance if you start there now. It's smart to say let's take a look at this series connection here from Germany and electricity and in finance a series connection is a safe sum thanks to the impedance of the resistor R2 it's just the CDU never mar that to be fine and then the JBL is the mania and the rising omega shows that then in this balance North Korea goes up, so the point where it is on the 60th shelf down here up here the omega goes up towards infinity and sometimes it is still a survival point, for example go where the omega is equal and 1 across the green is then exactly ten at the top in peace across the founders results at the top and if this distance is 14 at the top then very close to this distance only 10, then this would be the point where Omega is once the largest customer or once 15 seconds, you can think about it, if the hair lasts one second, then that would be the place where the F1s are to the heart .

After warming up, that's interesting for fans because the eps on shows the frequency once, not the three frequencies we have. This in the local financial curve of these two customers must now be added to these two in the sense of a parallel connection. The activity of a parallel connection results from the sum of the ATM in the 2, which means that your accesses must make the combination of the swords of your agent at the tax office rough, that is, a question that does not cross a quantum leap helps in the second version. it becomes a circle of the Germans from its origin, which is half kraal, that is, below, it simply becomes a semicircle through the cognac and then it looks the same, the point where the wind becomes 0 and where we have the smallest distance will again be the point where the angles and seen in this way have the greatest distance and since zeno entangled we become a siemens 10b then here in the middle there is approximately a universe exactly one twentieth of the demand or that means the bottom of this point until then exactly in the same radius of this price to one twentieth of a Siemens so let's see that that was the point yes that is the point where the sea is equal to zero then that is the point where the omega towards the infinite the coordinates have to go from the Rhine to the cross-country skiing point in this with these kind of local dance groups and this point here where the clients once were, we had a 45 degree angle, which means that if you take the angle from - from 40 degrees, slowly you look for exactly the point that is the point where the omega somehow works for 10 seconds one of these violent young people, of course, it is about finding acceptance of it, which again is terrain simply 20 above , that means that the acceptance of it is a 20 so far more than showing that Exactly the same amount of time would pass up to this point before the 21 siemens and now these two branches are connected in parallel, which means that we have to add the agnites graphically, which means that this semicircle is now exactly around this pointer of r1 moved to the right for this, that is, red for the final and then this new semicircle looks like this, so refunded to 120 has the center one tenth and back now there are 320 Siemens and here is the place where the omega team is, let's go back Coins in the place where the omega has zero and productions in the place where the mega of such a federal government or an explosion is now the group active local of the successful circuit and now it's about maintaining the balance. of this decision of ours the atmed as a dark reinvestment the dance group is a circle or a semicircle that not only the cognac must fulfill concretely in the third version of the complaint the circle or semicircle is not as big as before and again it is a price above does not go through the coordinates of the postal bank to invest at any price and be smart when looking for two points, just let them be animals, for example this point is yours and this point here a point here a a cap of 0 and it has the most distance small that is to say a 20 d Siemens Virginia Animals the others of a 20 27 14 Rome deserve to be with the 20 at the top, that means that that is the point of our circle where the omega goes to infinity.

The back point here is the one with the largest section in June, even with an angle, just that. This means that the point with the shortest distance is injected, also with the angle 0 and 3 20 siemens. There are still 280 thirds to go. the ones at the top are like 66 which could be 20 and that's the point u omega goes towards zero euro the omega 0 is yes and here the circle is a circle everywhere and it has a negative one which means the circle at the top continues being a circle but with a positive one on the left, which means the circle looks like this and now, to find the point where the omega money is a second, we have to draw the angle again and measure this angle here and transform exactly the same angle and draw it here. and then we end up roughly there.

There is a second point where this angle also intersects the straight line that we are the one behind that hooks associated with where you went most towards the omega and are close to it, this point is marked, gives From where we are closest to the current, this point is this year, so the shepherd is the point where the omega is equal to 15 seconds. The detail frequency is like this. Currently, the dark expectation burns in the former. It's innovative and so overpriced. now we can make the BMF believe that this means that first we need this circuit and a new mission statement and we don't need any resistors and I keep turning so this conclusion from above is because it discovered that the current seen to the right flows through this resistance through a Germany 112 and a novelty that operates in such a way that this gorge is at the top and everything and maybe the promontory on the sides and then there are quite a few Like us, now you can, of course glue the finished ones with a mass of this resistor because one wanted 20 above to have this stock and it has two functions and the productivity will have ten mobile phones that will draw areas, a whole Moselle activity and that is why something happens at very small frequencies, so if you built it, that's the question, because you click here from simulate, what should we do now?

We want to do that in the frequency range, you complain, that means we want to do an analysis like that and now that for different frequencies we can enter in the user or system level range now it's exactly something like this floor to choose if we go to frequencies with a certain super rhythm, that's good afterwards to get a nice colorful circle and if anyone likes that 50 points per decade of frequency A The decade of frequency is a range of 110, so the percentage has been multiplied by ten, so to speak, and we start at 0.0 1 in the fall and we do the whole mission there in the fall, which would be four days, so the frequencies have fun and work well, and then you now get this request for the simulation and the program tells us that we have no connection to the water, a connection to the ground and then again and then an error message appears telling us that it is doing it for the source so we can't find a deal, that It means that we must enter our circuit.

Here we somehow build a row of sources, this family of sources again under component and a marked voltage source actually also takes a current source which is a voltage source and talks about ISO control and that. the positive end was here pointing to the left and wired so that a decision comes when everything else Appearances come to it and now we have to greet there naturally draghi that now there is an alternating voltage source sensor, it is not allowed enter nothing dc click on about 1 and say the amplitude should be for a while you can also try to simulate and that's ok something like that happens and no error message was produced and probably now there is a diagram to show something ; otherwise you can click add trace up here and the slots now we can show all the voltages, these are the voltage from the diodes from node one to node 2 and we can show a current, how does it help.

Now to turn off a dark one, well, what's in the east curve that we want to have there is in the finances the balance of that circuit which is the balance in the Belantis voltage across the current and now it's smart for the user , so you can also enter formulas for each operation, for example, and a voltage across some current, that wouldn't be too scary The question is which voltage of the two do we have to use where this node 1 is and it has to be node 2 and that helps. Look approximately at this circuit if now I use this means to stick the head on one node and another is shown at the bottom of the video in the status bar in the status bar you can refer to the review at the bottom of the video there a sign with the foreign country is very restless is node 1 and the hilton is the month massive node two would be here in the middle so that you are completely sure that we can create this node out of the hack and we can protect this node for example , if I pop up this node, this node here and also the node down here if we take some cream around a font and china the migration approach and now this node down here is always called font, which means we can draw our chorus here saying kings and the balance of this circuit should be only from the voltage of the source which is entered again and the current now also because of the cliches of the power source is low, the current also passes more through the entire line, so the source voltage across the current is sharp should make the distinction in finance, from there it comes from a curve outwards and we see that this expression is now here as a quantity in the gg and as a phase as a dependence on the frequency placed in the box.

To make it such a task, you click on an axis here in Africa and we say we don't want any. We have an easy position that the diagram is exactly this raw material and it is no longer part of anyone and then everything is like this and it is not necessarily what we would expect and It is also wrong because if you look at the real time, I have calculated it correctly, okay , from the voltage and current something like Germany or England arises, but it has a negative rate and a negative judgment, and yes, if you press our painted or expected in the local financial communities the real time positive and someone positive in http of the errors the data that the voltage we're looking at now is above the source time from dimitri node to node so the voltage arrow points in this direction if we then want to have the finances of your circuit.

So the current I'm looking at now, of course, should also point in this direction, so from a balance point of view in this direction the current flows through the source of this current v1, the peace tower of more a - through the source, so the interest rate exactly in the other direction, such a decision is not so optimal to solve this error simply - before that increase through this chrome, of course, present and then it will goes exactly as we expect now that it goes from 8 p.m. the voltage where the frequency becomes infinite and gez to take 66 above where the frequency is 0 and it gives this wonderful half time, you can't ask why it doesn't work Exactly go back to the entrepreneur axis because the frequency is still not small enough, for what we don't start with a frequency 0 1 Simulate like this with 0.0 1 fall, of course, you can change that and let's say with an ilias and therefore its Again, that looks better than almost all the semiconductor and now you could still think if that fits into this point where the omega 1 for a second - it's supposed to be iso din and the omega 1 for a second says the frequency is 16 months 32 36 so the frequency is about the change so you'll go out like this to see where you are in this.

In local financial groups that have frequency you can use this brand and then you have toclick on the size up here where you want the dak and simply use the arrow keys on the keyboard to move the selection. Let's take a look at this point here and there The frequency is actually very small public millions and we go in the other direction, then the frequency becomes larger and a 3 go back from one second corresponding to an internal text heart frequency the sixth will be 06 and this one at 360 megahertz so here is the point where the omega should be equal to 1 in about a second and that also fits quite well with the signature above, of course the balance of the sum of the ration until the most precise is more precise because it simply refers to a more precise concern after really the frequency is very large and finally a thing that can now be drawn very well from such a local group and that would be difficult to calculate as the question, for example, What is the greatest angle of damage to the pattern reaching the circuit above the frequency?

You can get out of the east corner very well, even at the point up here. I can put a line through this and Share it with the most important questions, how will you be here? Now you could just draw a tangent to it, you can use lime to determine this angle, I don't know, maybe around 30 degrees and you can do exactly the same thing using the courses here on long trips and look here, in addition to other parts, what this does question angle here and then you can see that here is the maximum at 275 mini hatch frequency, you can come up with a bike path that wants a maximum length now around 30 degrees if you do it with these values ​​in the circle and as long as it calculates exactly and the frequency steps with the smallest power then you will get exactly 30 degrees coincidentally in this newspaper in the same way as now, of course, you could also accept the outskirts of this circuit here next to fleets and of course no matter how complicated Whatever the circuit, as long as the mouse is made up of linear elements, then everything works again.

Activities and abilities can be used to create virtually any complicated circuits where this would be very difficult and time consuming, so in the quickest way you can still simulate the dark ones and However, you can see that there are relatively many types. First of all, you can see a simple example. from a super lying down and looking at the head, the express works the same way and now of course you have the opportunity to make it a little more complicated up here and still trust our results below.