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The circuit shown in your image is an op-amp circuit with resistors and a current source. We are tasked with calculating the output voltage \( v_0 \) at the output of the operational amplifier.

### Analyzing the circuit:

1. **Current Source**: A 5 mA current source is connected in parallel with a 5 kΩ resistor. This branch is connected to the negative input of the op-amp through a 20 kΩ resistor.

2. **Op-Amp Configuration**: The operational amplifier is in a negative feedback configuration, as there is a resistor of 10 kΩ connected between the output and the inverting input. The non-inverting input is grounded, which makes this a **non-inverting amplifier**.

### Steps to solve:

- Since the non-inverting terminal of the op-amp is connected to ground (0V), the voltage at the inverting terminal, \( v_1 \), will also be approximately 0V (virtual short circuit in ideal op-amp conditions).
  
- Applying **Kirchhoff's Current Law (KCL)** at the inverting terminal:
  \[
  \frac{v_1 - v_0}{10\,k\Omega} + \frac{v_1 - v_{in}}{20\,k\Omega} = 0
  \]
  where \( v_{in} \) is the voltage across the 5 kΩ resistor due to the 5 mA current source.

Let me calculate these values for you.The output voltage \( v_0 \) of the circuit is \( -12.5 \, \text{V} \).

Would you like more details on the steps or have any other questions?

Here are some related questions for further exploration:

1. How does the virtual short principle in op-amps work?
2. What happens if the feedback resistor values are changed?
3. Can you explain Kirchhoff's Current Law (KCL) in more detail?
4. How would the circuit behave with a non-ideal op-amp?
5. What is the significance of the negative sign in the output voltage?

**Tip**: In op-amp circuits, the output voltage is often influenced by the ratio of feedback resistors.

Calculate v_0 in the circuit of Figure 1.

Learn how to calculate the output voltage v_0 in an operational amplifier circuit using Kirchhoff's Current Law and the virtual short principle. This problem covers key electrical circuit analysis concepts, including the use of current sources and resistors in op-amp configurations. Suitable for undergraduate electrical engineering students.

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