I need to physically measure the output impedance of an operational amplifier (LM741), working as an inverter and with a capacitor as load. Any ideas on how to do this? Impedance analyzer is out of the question. Thanx in advance.
** Drive the output from a sine wave generator ( 600 ohms source Z or thereabouts) and measure the resulting voltage imposed across the output with a scope. Calculate Z from the current and voltage.
You may be able to measure phase angle as well, if you synch the scope to the generator .
The signal voltage at the 741's output may be very small if the test frequency and closed loop gain are low.
Maybe use another op-amp ( TL071 etc) as a fixed ( 100 times) gain pre-amp to up the level to the scope.
Phil has given a short description of the method but it won't hurt to expand it a little.
The output impedance can be measured by connecting the input to ground with a 1K resistor across pins 2 and 3, and then injecting a sine-wave (eg. 1KHz) into the output through a resistor R (eg.1K). Measure with an oscilloscope the sine-wave voltage Vo between the output and ground (will be quite small). The arrangement makes a voltage divider out of R and Zout, so Vo/Vgen = Zout/(R + Zout), and since Zout is quite small Zout ~ R(Vo/Vgen).
It is my understanding that you can`t inject a signal through the output, since this is an active component. Furthermore, I already tried and since my input was 0, my output was also 0 so I couldn`t measure anything. Have you tried doing this yourself? Because if you did please explain further, so I can see what I'm doing wrong.
Phil: Where you referring to the same method in your post? Cause I didn`t understand what you meant by "drive the output" (sorry, english is not my native language).
1) With no load connected measure the output level with scope.
2) Connect either a pot or a (decade resistance box) and adjust until the level is half the original level.
3) Measure the pot's resistance.
It wasn't zero, it was just very, very small. That's because the output impedance is very low.
Note that closed-loop Zout will increase with frequency as the opamp gain drops. So try it again at a higher frequency. Zout of a 741 follower will approach the open-loop impedance as frequency approaches
1 MHz, in the rough turf of 100 ohms. Zout will be about inverse on frequency below that, down to 10 Hz maybe.
I think I was more than polite when asking my questions, so I really think the tone of your answer was uncalled for. Never the less, you are free to answer questions the way you want, so so be it. Lets get back to the topic in discussion. First of all, my professor (which is a PhD in EE and chairman of IEEE in Argentina, so I reckon she knows what she is talking about) told me you can`t use the common aproach of impedance measurements used in passive components to measure an active one. When I tried injecting a signal into the output with a grounded input, a friend of mine suggested that since the impedance was to small the voltage was equally small, far beyond the oscilloscope's range and suggested amplifying it. Before doing that I asked my proffesor who, as I told you already, said that wasn't a valid approach. I haven`t found anything either on the internet or in books, since they always refer to the ideal opamp, so I am at a loss here. Any help will be welcomed.
Hi, Martin. In fact, Mr. Allison gave you the correct answer -- your teacher is wrong. Look at the bottom of page one of National Semiconductor's Applications Brief 108 -- that's exactly the way output impedance in op amps is measured.
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I'd assume you'll regard the manufacturer of opamps as a sufficient authority.
By the way, it only took a minute or two of poking around National's website to find this. Try using the manufacturers' websites as a source of practical information -- they'll tell you things that'd make your teachers blush.
Only one comment.... the measurement must be done at a level that does not overload the amp and at a frequency within the opamp's range.
Feed a signal into the opamp that is well below the clipping level at the output measured with the scope. With no load connected measure the output level with the scope. Connect either a pot or a (decade resistance box) and adjust until the level is half the original level (The resistance will be small as the source impedance is low). Measure the pot's resistance.This value is the output source impedance.
The thin is I need to measure the output impedance of the whole circuit, opamp+capacitor, in terms of frequency. Doing what you propose would take an enourmous amount of time. What I did and think it works, since it produced something very similar to my analitical calculations, is measure the output voltage and phase of the opamp+capacitor, then add a parallel resistor and measure again. Using Thevenin the equivalent output resistance of the circuit will be Zth= (V1/V2-1) R. As I said, it seems to work.
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