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

Click For Summary
The discussion focuses on determining the output voltage (Vo) across a 10-kΩ resistor in an op-amp circuit. The analysis uses the ideal op-amp model, concluding that the currents at the op-amp terminals are zero, resulting in no voltage drop across the 2 kΩ and 50 Ω resistors. The participant calculates Vo as 4V by subtracting the voltage at the positive terminal (1V) from the voltage at the negative terminal (5V). While the conclusion seems unusual, it aligns with the principles of ideal op-amp behavior. The analysis is confirmed as correct for an ideal op-amp scenario.
gfd43tg
Gold Member
Messages
947
Reaction score
48

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.
 

Attachments

  • 6.1.png
    6.1.png
    9.4 KB · Views: 608
  • 6.1 attempt 1.jpg
    6.1 attempt 1.jpg
    8.6 KB · Views: 579
  • 6.1 attempt 1.pdf
    6.1 attempt 1.pdf
    129.1 KB · Views: 355
Physics news on Phys.org
For an ideal op amp, your analysis is correct
 

Similar threads

Replies
15
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
Replies
34
Views
4K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
4
Views
2K
Replies
13
Views
3K