Voltage Output of Op-Amp: Solving for Vo in a 10-kΩ Circuit

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SUMMARY

The voltage output (Vo) across a 10-kΩ resistor in an ideal op-amp circuit is determined to be 4V. This conclusion is reached by applying the ideal op-amp model, which states that the currents at both terminals are zero, resulting in no voltage drop across the 2 kΩ and 50 Ω resistors. The output voltage is calculated by subtracting the voltage at the negative terminal (1V) from the voltage at the positive terminal (5V), confirming that Vo equals 4V.

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  • Understanding of ideal op-amp characteristics
  • Knowledge of Kirchhoff's Current Law (KCL)
  • Familiarity with voltage division in resistive circuits
  • Basic circuit analysis techniques
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Electrical engineering students, circuit designers, and anyone involved in analyzing or designing op-amp circuits will benefit from this discussion.

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Homework Statement


Determine vo across the 10-kΩ resistor in the circuit below.


Homework Equations





The Attempt at a Solution


For this problem, using the ideal op-amp model, I believe the currents are zero in both the positive and negative terminals of the op amp. Therefore, there is no voltage drop across neither the 2 kΩ resistor nor the 50 Ω resistor. I know the golden rule that you cannot do KCL at the output of an op-amp, and knowing the voltage at the negative and positive terminals is the same, I conclude that the output voltage is just 5V-1V = 4V. This seems weird, but its what my analysis produces. I am uncertain of my answer though.
 

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For an ideal op amp, your analysis is correct
 

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