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how do you calculate input and output impedance of an op amp

by Dr. Harold Fisher Sr. Published 2 years ago Updated 1 year ago
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If we consider the input voltage and current to be V in and I in and the output voltage and current to be V out and I out, the simplest definitions of the impedances Z in and Z out are given by :

  • Z in =V in /I in
  • Z out =V out /I out

Basic Emitter Amplifier Model
The generalised formula for the input impedance of any circuit is ZIN = VIN/IIN. The DC bias circuit sets the DC operating “Q” point of the transistor. The input capacitor, C1 acts as an open circuit and therefore blocks any externally applied DC voltage.

Full Answer

How do you measure output impedance?

The simplest way to determine what output impedance indicates is to visualize a resistor in series of how low the output impedance is. That’s because there is no such thing as the best or perfect output or source. Further, the best output would have zero output impedance.

What is output impedance?

The output impedance is the ratio of change in output voltage to change in load current. Power supply input and output impedance are used to verify the supply’s stability and dynamic performance when subjected to various loads. Output impedance is what is seen when looking into the power supply circuitry from the output end.

Is high or low impedance better?

Low-impedance (under 50 ohm) headphones will play well at home with your receiver and on-the-go with your smart phone, and that's why the vast majority of in-, on-, and over-the-ear headphones are low-impedance designs. High-impedance models are much better suited to home than on-the-go use.

What is the impedance of an inductor?

Inductor impedance, also known as inductive reactance, is a generalized concept of direct current (DC) and alternate current resistance to an inductor. A passive component, an inductor is designed to resist current changes. The materials and construction of an inductor determine the inductor impedance.

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How do you find the input impedance of an op amp?

Impedance is represented by the ratio of the current variation ΔI to the voltage variation ΔV. The variation in the input bias current is measured against the variation in the input common-mode voltage range. Impedance is represented by the ratio of the current variation ΔI to the voltage variation ΔV.

What is the input and output impedance of an op amp?

The input impedance of an inverting amplifier op-amp circuit is approximately R1. That is one reason why we generally want R1 to be large (> 1 kΩ as an absolute lower limit). The output impedance of an inverting amplifier op-amp circuit is small, on the order of 1 Ω.

What is the formula for input impedance?

Input impedance is defined as the ratio of the voltage and current at the pair of the input antenna terminals:(2.105)Za=Ra+jXa, where Ra is the resistance at antenna terminals and Xa is the reactance at antenna terminals.

How do you calculate input and output resistance?

4:438:31Input and Output Resistance of Circuits and the Voltage DividersYouTubeStart of suggested clipEnd of suggested clipIt's the voltage divider equation. The ratio of the output to the input voltage is that particularMoreIt's the voltage divider equation. The ratio of the output to the input voltage is that particular ratio of resistors for this circuit.

How do you calculate output impedance?

Zsource = output impedance = source impedance = internal impedance. The output impedance of a device can simply be determined....Open-circuit voltage V1voltsOutput Impedance Zsourceohms3 more rows

What is input impedance and output impedance?

The output impedance refers to the impedance, or opposition to current flow, of the component that often bears an electrical source to "drive" a load component. Meanwhile, the input impedance refers to the load component's opposition to current flowing in from the electrical source.

How do you calculate impedance example?

1:5110:32Impedance - YouTubeYouTubeStart of suggested clipEnd of suggested clipThe formula for impedance is as follows. It's equal to the square root of r squared plus theMoreThe formula for impedance is as follows. It's equal to the square root of r squared plus the difference the square difference of the inductive reactants.

How do you find the equation of input and output?

0:034:33Input Output Tables Writing Rules - YouTubeYouTubeStart of suggested clipEnd of suggested clipOr function is y equals x which is our input. Minus 3 and that gives us our y-value of our output.MoreOr function is y equals x which is our input. Minus 3 and that gives us our y-value of our output. So X is what we're putting in and we're taking away 3 and we get Y is their output.

What is the input impedance and output impedance of op-amp and why?

The ideal op-amp has infinite input impedance and zero output impedance because it's easy to make the input impedance lower (put a resistor in parallel) or the source impedance higher (put a resistor in series).

What is output impedance on amp?

Output impedance refers to a device's ability to deliver unrestricted current or power when passing a musical signal – it measures the amount of restriction or hold back of that signal. It is important to understand output impedance only as it is relative to the input impedance of whatever the amp is driving.

Do op amps have input impedance?

Voltage feedback (VFB) op amps normally have both differential and common-mode input impedances specified. Current feedback (CFB) op amps normally specify the impedance to ground at each input.

What is the input of an op-amp?

An Operational Amplifier is basically a three-terminal device which consists of two high impedance inputs. One of the inputs is called the Inverting Input, marked with a negative or “minus” sign, ( – ). The other input is called the Non-inverting Input, marked with a positive or “plus” sign ( + ).

How to find the impedance of an emitter amplifier?

In this tutorial we have seen that the input impedance of a common emitter amplifier can be found by shorting out the supply voltage and treating the voltage divider biasing circuit as resistors in parallel. The impedance “seen” looking into the divider network ( R1||R2) is generally much less that the impedance looking directly into the transistors Base, β (RE+ re) as the AC input signal changes the bias on the Base of the transistor controlling the current flow through the transistor.

What is input impedance?

Input Impedance, ZIN or Input Resistance as it is often called, is an important parameter in the design of a transistor amplifier and as such allows amplifiers to be characterized according to their effective input and output impedances as well as their power and current ratings .

How does CE work in amplifiers?

The emitter bypass capacitor, CE can provide an AC path to ground for the Emitter by shorting out the emitter resistor, RE at high frequencies and thus leaving only the signal Emitter resistance, re in the Emitter leg circuit. The effect of this results in an increase in the voltage gain of the amplifier (from 0.5 to 33) as the signal frequency increases. However, this also has the effect of decreasing the amplifiers input impedance value, down from 18.5kΩ to 2.2kΩ as shown.

Why is the input impedance important?

Then we can see that the input and output impedances of an amplifier can play an important role in defining the transfer characteristics of an amplifier with regards to the relationship between the output current, Ic and the input current, Ib. Knowing an amplifiers input impedance can help to graphically construct a set of output characteristics curves for the amplifier.

Why is impedance important in amplifiers?

An amplifiers impedance value is particularly important for analysis especially when cascading individual amplifier stages together one after another to minimise distortion of the signal. The input impedance of an amplifier is the input impedance “seen” by the source driving the input of the amplifier.

What is the input and output impedance of an amplifier?

The input and output impedance of an amplifier is the ratio of voltage to current flowing in or out of these terminals. The input impedance may depend upon the source supply feeding the amplifier while the output impedance may also vary according to the load impedance, RL across the output terminals.

What is 2.2k in a signal?

This 2.2kΩ is the input impedance looking into the input terminal of the amplifier. If the impedance value of the source signal is known, and in our simple example above it is given as 1kΩ, then this value can be added or summed with ZIN if required.

What is input impedance?

The definition of the input impedance: “How much impedance (resistance) from the point of view of the INPUT ”. — It determine how much current you need to draw from the input (simply Ohm’s Law) — It determine how much voltage will be shared by the black box (remember the input also has internal resistance) — Has NOTHING to do with the output.

Why does a function generator draw lots of current?

The function generator will draws lots of current due to low resistance, may even damage the device. Lots of voltage will goes to the internal resistance, waste lots of power, and very few signal actually reach the black box. Has to increase input voltage to compensate the loss — not economic. If the Zin is large:

Can you load VTH on scope?

Since an ideal scope has ~infinite resistance (or ~10 megaohm in reality), so most Vth can be loaded on the scope. We now can add a load resistor to the circuit: With the load resistor added, measure the voltage amplitude at point C and you should see a smaller amplitude than the Vth.

Can zout have too much voltage drop?

With small resistance, Zout won’t have too much voltage drop, so most of the signal from Vth can pass into the next stage. If the Zin is large: Unfortunately, lots of voltage from Vth will be applied on Zout, and only a portion of the Vth can pass into the next stage.

Where does most of the voltage go?

Most of the voltage will go into the black box, since internal resistance is small and won’t take much of voltage drop.

Can you vary the load resistance?

Similar to the input impedance, you can vary the load resistance until the value you measure on point C is HALF of Vth, which implies this chosen load resistance is the SAME as Rth (or Zout).

How many ohms does a bipolar opamp have?

Some high speed bipolar opamps run their output stages at higher currents, and you will see plots or values in the param tables, of 15 ohms or 10 ohms, again these values are *OPENLOOP.

What do we know about UGBW?

What do we know? At the UGBW frequency, the opamp no longer has any control over the output voltage, and the full DC_Rout value appears on the output pin. You can see this effect in certain datasheets, if the Zout plot is extended to and past the UGBW. Analog Devices has some opamps thus characterized.

What is closed loop output impedance?

The [closed loop] output impedance of an opamp is well modeled as a INDUCTOR, in series with some small resistance. We will predict values, or ranges of values, during this answer. To arrive at ClosedLoop values, we'll first understand the OpenLoop performance of a "typical" opamp.

What is the inductor value of Zl?

What is the inductor value? Given Zl = 2 * PI * F * L , we simply do a division of Zl/( 6.28 * UGBW) == L == 10_ohms/ 62.8MegaHertz, and we find the inductor == 10/62 microHenries = 160 nanoHenries.

What is the purpose of cascade devices in opamps?

The use of cascade devices (common base, common gate) ensures LOW INPUT CAPACITANCE at all modes of operation.

What happens when the open loop gain rolls off?

As the open_loop gain rolls off with increasing frequency, the decreasing loop gain produces a RISINGZout with a phase_shift. This effect is exactly that of an inductor in series with the ClosedLoop circuit.

What temperature does a FET/CMOS input stage have?

FET/CMOS input stages will have nano/pico/femto amps of current at room temperature. At 125 ° C, the input current into dates of FETs or the necessary ESD circuitry, may have increased 1,000s or 1,000,000X. If you casually use 1MegOhm resistors, a surprise awaits.

Calculate input and output impedance of inverting amplifier (op-amp)

How do figure out input and output impedance of this amplifier gain -10? Assume op-amp is ideal.

1 Answer

Apply a current to the input and calculate the change in voltage. The input impedance is then V/I. Similarly apply a current to the output and calculate the change in voltage, The output impedance is V/I. By doing this you will learn what opamps are all about, which is what your prof intended.

What does the input impedance represent?

We have seen that they represent the total resistances of the amplifier at the input terminals and at the biased output terminals. Since they do not represent any physical resistance they cannot be removed, but as a consequence of the amplifier architecture, their value can be adjusted.

How is the input impedance connected?

The input impedance is connected across the input terminals of the amplifier while the output impedance is connected in series with the amplifier. A representation of this configuration is shown in Figure 1 below :

Why is the output impedance of an amplifier lower than the internal impedance?

For the final stage, where a last amplifier supplies a transducer (lets say a loudspeaker), the output impedance of the amplifier must be lower than the internal loudspeaker resistance. Again for the same reasons, the power is transferred more efficiently to the transducer if the amplifier has a low output impedance. In this case, most of the power can be used by the transducer. However, the global resistance should not be too high to avoid a low power magnitude.

What is an amplifier box?

In a very simplified point of view, an amplifier consists of a “box” that realizes an amplification function between an input signal and an output signal. The way that the input enters the system and the output leaves it is very important and affects the general behavior of an amplifier. In more technical terms, ...

Why is impedance matching important?

If there is something to really keep in mind about why input and output impedances are so important is matching. Impedance matching is a simple concept that states that the power transfer from an internal source resistance (R S) to a load (R L) is maximized when R S =R L. A simple representation is given below to define the different parameters in this context :

What is the role of impedances in amplifiers?

These impedances play an important role at the interfaces of the amplifiers. They indeed dictate how the voltage or power signals are being transmitted from either a source to a preamplifier, from an amplifier to another amplifier or from an amplifier to a transducer.

How to get high input and low output impedance?

Emitter-follower : One of the easiest solution to obtain both high input and low output impedances is to use the emitter-follower configuration. Much more details of this configuration can be found in the tutorial about the Common Collector Amplifier.

What does it mean when an opamp is grounded?

As the + input of the opamp is grounded this means that the - input will also be at ground level voltage. That then means that the input impedance is equal to R 1

What is the input gain of an amplifier?

So the raw amplifier has infinite input impedance and zero output impedance, but as it's used in circuit, the amplifier has an input gain of R2 , because there's a path from the input pin to the output.

What does basic amplifier mean?

It simply means that no current flows into the opamp's inputs. This does not say anything about the circuit which is opamp + feedback network.

What is the input impedance of a left circuit?

The left circuit needs a voltage source to drive it (and Z i n = R 1) while the circuit on the right needs a current source to drive it and the input impedance (as seen by the current source) is Z i n = 0

What happens when the voltage across the resistance R1 in circuit with current source is zero?

If so then as the voltage across the resistance R1 in circuit with current source is zero thus resistance turns to be zero

What does "help" mean in a sentence?

Asking for help, clarification, or responding to other answers.

Is an opamp considered ideal?

The fact that the opamp is considered ideal make this easy to understand. As the output will have a certain voltage, the voltage difference at the input of the opamp will be

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