Electrical – the voltage of the output in the following circuit

circuit analysisoperational-amplifier

I am trying to find Vout for the following circuit. Unfortunately, I do not get the right answer. What am I doing wrong? Here is my circuit:

schematic

simulate this circuit – Schematic created using CircuitLab

Also the source voltage is +14v/-14V if that helps.
And here are my calculation :

  1. A=Vin/Vout = -R2/R1
  2. VinR1 =-R2Vout
  3. -VinR1/R2 = Vout
  4. -5*1/4 = -1,2V

The problem is the answer is supposed to be Vout=25V. But I do not understand how to get to that answer. Any help would be greatly appreciated.

Best Answer

1) Op amp inputs are high-impedance. Therefore, the + input is at 5 volts.

2) Op amps exhibit very high gain. Therefore, if the op amp is being operated usefully, the - input is at 5 volts, since any output will produce a very small (usefully approximated as zero) voltage difference between + and - inputs.

3) The voltage across R1 will be 5 volts and the current through R1 will be 5 mA by Ohm's Law.

4) Op amp inputs are high-impedance. Therefore, the current through R2 will be 5 mA.

5) The voltage across R2 will be 20 volts by Ohm's Law.

6) The output voltage will be the sum of the voltages across R1 and R2, or 25 volts.