Op-Amp Applications: Current-to-Voltage Converter with Finite Rs and Aod Gain

In summary, the conversation revolves around finding the expression for the input resistance in a current-to-voltage converter, which involves the finite output resistance of the current source and the finite open-loop differential gain of the op-amp. The relevant equation is Rin = RF/(1+Aod), but the defining equation for input resistance needs to be found in the textbook or lecture notes. The purpose of Physics Forums is to provide hints and guidance, not to directly answer homework questions.
  • #1
kahei
17
0

Homework Statement



A current-to-voltage converter
The current source has a finite output resistances Rs, and the op-amp has a finite open-loop differential gain Aod. Show that the input resistance is given by

Homework Equations



Rin = RF/(1+Aod)

The Attempt at a Solution



Rin = RF / (1+Aod)
 

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  • #2
Welcome to Physics Forums.

Well, you haven't really shown what equations are relevant here, just giving the one from the problem statement. So, what equation is used to find the input resistance?
 
  • #3
There is no relevant equation.
The question is just find the expression of the input resistance.
 
  • #4
What is the defining equation for input resistance?
 
  • #5
Show that the input resistance Rin is given by Rin = RF/(1+Aod).
 
  • #6
That is not the defining equation, it's the equation you are trying to derive.

How does your textbook or lecture notes define input resistance?
 
  • #7
the picture which attached in the first post shows the input resistance.
 
  • #8
You need to look in your textbook and lecture notes to see how input resistance is defined. I mean the basic, general definition, not just some equation or figure that is specific to this problem only.

At Physics Forums, we help with homework by giving hints and pointing you in the right direction. As I indicated, you need to find the definition of input resistance in order to solve this problem. The fact that you have been assigned this problem means that it (definition of input resistance) should be available to you, either in your textbook or in your class lecture notes.

I repeat, you need to look up what that definition is. Nothing you have posted here, so far, is the definition of input resistance.

I hope this is clear to you. Sorry if I sound too blunt.
 
Last edited:

What is an op-amp and how does it work?

An op-amp, short for operational amplifier, is a highly versatile electronic component used in a variety of applications. It is a high-gain differential amplifier that amplifies the difference between its two input signals. It has a non-linear output and can be used in both linear and non-linear circuits.

What are the most common applications of op-amps?

Op-amps are commonly used in signal conditioning, instrumentation amplifiers, active filters, voltage regulators, and many other applications. They are also essential components in audio and video amplifiers, oscillators, and comparators.

What are the different types of op-amps and their characteristics?

The most commonly used types of op-amps are the inverting, non-inverting, and differential amplifiers. Inverting op-amps have a negative input and provide a negative output, while non-inverting op-amps have a positive input and provide a positive output. Differential amplifiers have two inputs and amplify the difference between them. Some other types include instrumentation amplifiers, voltage followers, and integrator and differentiator circuits.

What are some common challenges when working with op-amps?

Some common challenges when working with op-amps include input offset voltage, input bias current, and input offset current. These can cause errors in the output signal and need to be carefully considered and minimized in circuit design. Another challenge is ensuring stability in op-amp circuits, as they can become unstable and oscillate if not properly designed.

What are some advanced applications of op-amps?

Some advanced applications of op-amps include precision rectifiers, peak detectors, and sample-and-hold circuits. They are also used in analog-to-digital converters, phase-locked loops, and voltage-controlled oscillators. Additionally, op-amps are used in active filters for frequency response shaping and in feedback control systems for regulating voltage, current, and other parameters.

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