# Investing and non investing op amplifier tutorials

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Transresistance amplifiers convert a current input and produces a voltage output. Because most op amps are used for voltage amplification, this article will focus on voltage amplifiers. Operational Amplifiers: Key Characteristics and Parameters There are many different important characteristics and parameters related to op amps see Figure 1. These characteristics are described in greater detail below.

This means the feedback path, or loop, is open. Voltage comparators compare the input terminal voltages. Even with small voltage differentials, voltage comparators can drive the output to either the positive or negative rails. High open-loop gains are beneficial in closed-loop configurations, as they enable stable circuit behaviors across temperature, process, and signal variations.

Input impedance is measured between the negative and positive input terminals, and its ideal value is infinity, which minimizes loading of the source. In reality, there is a small current leakage. Arranging the circuitry around an operational amplifier may significantly alter the effective input impedance for the source, so external components and feedback loops must be carefully configured.

It is important to note that input impedance is not solely determined by the input DC resistance. Input capacitance can also influence circuit behavior, so that must be taken into consideration as well. However, the output impedance typically has a small value, which determines the amount of current it can drive, and how well it can operate as a voltage buffer.

Frequency response and bandwidth BW An ideal op amp would have an infinite bandwidth BW , and would be able to maintain a high gain regardless of signal frequency. Op amps with a higher BW have improved performance because they maintain higher gains at higher frequencies; however, this higher gain results in larger power consumption or increased cost. These are the major parameters to consider when selecting an operational amplifier in your design, but there are many other considerations that may influence your design, depending on the application and performance needs.

Other common parameters include input offset voltage, noise, quiescent current, and supply voltages. Negative Feedback and Closed-Loop Gain In an operational amplifier, negative feedback is implemented by feeding a portion of the output signal through an external feedback resistor and back to the inverting input see Figure 3.

This is because the internal op amp components may vary substantially due to process shifts, temperature changes, voltage changes, and other factors. Op amps have a broad range of usages, and as such are a key building block in many analog applications — including filter designs, voltage buffers, comparator circuits, and many others. In addition, most companies provide simulation support, such as PSPICE models, for designers to validate their operational amplifier designs before building real designs.

The limitations to using operational amplifiers include the fact they are analog circuits, and require a designer that understands analog fundamentals such as loading, frequency response, and stability. It is not uncommon to design a seemingly simple op amp circuit, only to turn it on and find that it is oscillating.

Due to some of the key parameters discussed earlier, the designer must understand how those parameters play into their design, which typically means the designer must have a moderate to high level of analog design experience.

Operational Amplifier Configuration Topologies There are several different op amp circuits, each differing in function. The most common topologies are described below. Voltage follower The most basic operational amplifier circuit is a voltage follower see Figure 4. This circuit does not generally require external components, and provides high input impedance and low output impedance, which makes it a useful buffer. This will be plus or minus V in, that's our input signal.

And over on the output, we'll have V out, and it's hooked up this way. The resistor, another resistor, to ground, and this goes back to the inverting input. Now we're going to look at this circuit and see what it does. Now we know that connected up here the power supply's hooked up to these points here, and the ground symbol is zero volts. And we want to analyze this circuit. And what do we know about this?

We know that V out equals some gain, I'll write the gain right there. A big, big number times V minus, sorry V plus minus V minus, and let's label that. V plus is this point right here, and V minus is this point right here. And we also know that the currents, let's call them i plus and i minus, equals zero, and that's the currents going in here. This is i minus here, and that's i plus, and we know those are both zero. So now what I want to do it describe what's going on inside this triangle symbol in more detail by building a circuit model.

Alright, and a circuit model for an amplifier looks like this. We have V minus here, V plus here, so this is V in, and over on this side we have an, here's a new symbol that you haven't seen before. It's usually drawn as a diamond shape, and this is a voltage source, but it's a special kind of voltage source.

It's called a voltage-dependent voltage source. And it's the same as a regular ideal voltage source except for one thing, it says that the V, in this case V out, equals gain times V plus minus V minus. So the voltage here depends on the voltage somewhere else, and that's what makes it a voltage-dependent, that's what that means. So, we've just taken our gain expression here, added, drawn circuit diagram that represents our voltage expression for our circuit.

Now, specifically over here we've drawn an open circuit on V plus, and V minus so we know that those currents are zero. So this model, this circuit sketch represents our two properties of our Op-amp. So I'm going to take a second here and I'm going to draw the rest of our circuit surrounding this model, but I need a little bit more space.

So let's put in the rest of our circuit here. We had our voltage source, connected to V plus, and that's V in, and over here we had V out. Let's check, V out was connected to two resistors, and the bottom is connected to ground, and this was connected there. So what our goal is right now, we want to find V out as a function of V in. That's what we're shooting for.

So let's see if we can do that. Let's give our resistors some names. Let's call this R1, and R2, our favorite names always, and now everything is labeled. Now and we can label this point here, and this point we can call V minus, V minus. So that's our two unknowns. Our unknowns are V not, V out, and V minus, so let's see if we can find them. So what I'm going to do is just start writing some expressions for things that I know are true. Alright, that's what this Op-amp is telling us is true. Now what else do I know?

Let's look at this resistor chain here. This resistor chain actually looks a lot like a voltage divider, and it's actually a very good voltage divider. Remember we said this current here, what is this current here? It's zero. I can use the voltage divider expression that I know. In that case, I know that V minus, this is the voltage divider equation, equals V out times what? Times the bottom resistor remember this?

R2 over R1 plus R2, so the voltage divider expression says that when you have a stack of resistors like this, with the voltage on the top and ground on the bottom, this is the expression for the voltage at the midpoint.

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In an ideal condition, the input pin of the op-amp will provide high input impedance and the output pin will be in low output impedance. The amplification is dependent on those two feedback resistors R1 and R2 connected as the voltage divider configuration. Due to this, and as the Vout is dependent on the feedback network, we can calculate the closed loop voltage gain as below. Also, the gain will be positive and it cannot be in negative form.

The gain is directly dependent on the ratio of Rf and R1. Now, Interesting thing is, if we put the value of feedback resistor or Rf as 0, the gain will be 1 or unity. And if the R1 becomes 0, then the gain will be infinity. But it is only possible theoretically. In reality, it is widely dependent on the op-amp behavior and open-loop gain. Op-amp can also be used two add voltage input voltage as summing amplifier.

Practical Example of Non-inverting Amplifier We will design a non-inverting op-amp circuit which will produce 3x voltage gain at the output comparing the input voltage. We will make a 2V input in the op-amp. We will configure the op-amp in noninverting configuration with 3x gain capabilities.

We selected the R1 resistor value as 1. R2 is the feedback resistor and the amplified output will be 3 times than the input. Voltage Follower or Unity Gain Amplifier As discussed before, if we make Rf or R2 as 0, that means there is no resistance in R2, and Resistor R1 is equal to infinity then the gain of the amplifier will be 1 or it will achieve the unity gain.

As there is no resistance in R2, the output is shorted with the negative or inverted input of the op-amp. As the gain is 1 or unity, this configuration is called as unity gain amplifier configuration or voltage follower or buffer. As we put the input signal across the positive input of the op-amp and the output signal is in phase with the input signal with a 1x gain, we get the same signal across amplifier output.

Thus the output voltage is the same as the input voltage. So, it will follow the input voltage and produce the same replica signal across its output. This is why it is called a voltage follower circuit. The input impedance of the op-amp is very high when a voltage follower or unity gain configuration is used. Sometimes the input impedance is much higher than 1 Megohm.

So, due to high input impedance, we can apply weak signals across the input and no current will flow in the input pin from the signal source to amplifier. On the other hand, the output impedance is very low, and it will produce the same signal input, in the output. To help remember what the letters stand for, Ri is the input resistor, and Rf is the feedback resistor, as the output is driving the input through Rf.

We can use KCL. We know that current flowing into that node must equal the current flowing out and no current is flowing into the inverting input, so there is only the current coming in via Ri and out via Rf and they are equal to each other.

For example, if you have a 10K feedback resistor, and a 2K input resistor, an input voltage of 2V will yield an output voltage of V. And vice versa if the input is a negative voltage. This is an extremely common op-amp configuration as most feedback loops utilize negative feedback, as that increases stability and reduces distortion.

This is outside the scope of this tutorial, but Kushal discusses it in his control systems tutorials. The circuit is slightly different. Circuit Diagram of a Non-Inverting Op-Amp Circuit As expected, the signal input is to the non-inverting input, but now the inverting input is in the middle of a voltage divider.

As the output is now connected to the inverting input via that voltage divider, we know that it will drive the inverting input to match that of the non-inverting input. Once again, we can describe the behavior of this circuit mathematically using KCL.