Problem 3- Add the necessary OpAmp circuit to your designed from problem 2 so that the final voltage output of your circuit is vo =3v,, +5Vs2.

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### Problem 3
**Objective:**
Add the necessary OpAmp circuit to your design from problem 2 so that the final voltage output of your circuit is \(v_0 = 3v_{s1} + 5v_{s2}\).

**Instructions:**
1. Review the previous circuit design from problem 2.
2. Incorporate operational amplifiers (OpAmps) into your circuit to achieve the required output voltage equation, which is a linear combination of the input voltages.
3. Ensure the correct configuration of resistors and connections to realize the specified gain (3x for \(v_{s1}\) and 5x for \(v_{s2}\)).
4. Verify the output voltage mathematically and with simulations if possible to confirm it aligns with the given equation \(v_0 = 3v_{s1} + 5v_{s2}\).

**Key Concepts to Consider:**
- **Operational Amplifier (OpAmp) configurations:** Understand the use of inverting, non-inverting, and summing amplifier setups.
- **Resistor values determination:** Calculations to obtain the required gain for each input voltage.

**Additional Resources:**
- [Introduction to Operational Amplifiers](link_to_resource)
- [Summing Amplifier Configuration](link_to_resource)

For detailed diagrams and corresponding mathematical explanations, ensure to check your lecture notes or textbooks on OpAmp circuits.
Transcribed Image Text:### Problem 3 **Objective:** Add the necessary OpAmp circuit to your design from problem 2 so that the final voltage output of your circuit is \(v_0 = 3v_{s1} + 5v_{s2}\). **Instructions:** 1. Review the previous circuit design from problem 2. 2. Incorporate operational amplifiers (OpAmps) into your circuit to achieve the required output voltage equation, which is a linear combination of the input voltages. 3. Ensure the correct configuration of resistors and connections to realize the specified gain (3x for \(v_{s1}\) and 5x for \(v_{s2}\)). 4. Verify the output voltage mathematically and with simulations if possible to confirm it aligns with the given equation \(v_0 = 3v_{s1} + 5v_{s2}\). **Key Concepts to Consider:** - **Operational Amplifier (OpAmp) configurations:** Understand the use of inverting, non-inverting, and summing amplifier setups. - **Resistor values determination:** Calculations to obtain the required gain for each input voltage. **Additional Resources:** - [Introduction to Operational Amplifiers](link_to_resource) - [Summing Amplifier Configuration](link_to_resource) For detailed diagrams and corresponding mathematical explanations, ensure to check your lecture notes or textbooks on OpAmp circuits.
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