Op-Amp Output Voltage Calculation with Two Input Voltages

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In summary, the expression for the output voltage (Vo) in terms of the input voltages (V1 and V2) is Vout = -Rf*(V1/10k +V2/5k). This can be derived using the inverting amplifier equation (A=Vo/Vi=-Rf/Ri) and the current across R1 (V1/10k) and R2 (V2/5k).
  • #1
mad_monkey_j
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Homework Statement



Derive the expression for the output Vo in terms of the input voltages V1 and V2?
Attached image is the cir

Homework Equations


Inverting amp:
A=Vo/Vi=-Rf/Ri
Vout=-Rf/I_2


The Attempt at a Solution


No idea how to go about this question with two input voltages.
 

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  • #2
If there was only one input voltage (and input resistor), what voltage would you expect to see at the - input of the op-amp? What current flows into the - input terminal of the op-amp?
 
  • #3
The current across R1
V1/10k
The current across R2
V2/5k

So I1 is V1/10k +V2/5k?
 
  • #4
Okay. Presuming that you understand why this is so, can you proceed to state the expected output voltage as a function of the inputs?
 
  • #5
so Vout = -Rf*(V1/10k +V2/5k)?
 
  • #6
You sound surprised. Yes, that is the logical consequence, is it not?
 
  • #7
yea didn't think it would be that simple tbh, i was thinkin it would be huge although i didn't know where to start either.
 

Related to Op-Amp Output Voltage Calculation with Two Input Voltages

1. What is an op-amp with two inputs?

An op-amp (operational amplifier) with two inputs is a type of electronic amplifier circuit that has two input terminals, one for the positive signal and one for the negative signal. It is used to amplify the difference between the two input signals.

2. What are the two types of inputs in an op-amp?

The two inputs in an op-amp are the inverting input and the non-inverting input. The inverting input is marked with a negative symbol (-) and the non-inverting input is marked with a positive symbol (+).

3. How does an op-amp with two inputs work?

The op-amp with two inputs amplifies the difference between the two input signals by a very high gain. The output signal is proportional to the difference between the two inputs, and it can be either positive or negative depending on the input signals.

4. What are the common applications of an op-amp with two inputs?

An op-amp with two inputs is commonly used in audio amplifiers, instrumentation amplifiers, and as a comparator in electronic circuits. It is also used in active filters, voltage regulators, and in analog-to-digital converters.

5. What are the limitations of an op-amp with two inputs?

Some of the limitations of an op-amp with two inputs include input offset voltage, input bias current, and input offset current, which can affect the accuracy of the output signal. It also has a limited output voltage range and can be affected by noise and temperature changes.

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