This problem involves analyzing an op-amp circuit. To solve for the output voltage ($v_o$) of this op-amp, we can apply the rules of an ideal op-amp and analyze the given information.

Circuit Analysis

1. Op-Amp Ideal Rules:

   • The voltage difference between the non-inverting ($V_+$) and inverting ($V_-$) terminals is zero.
   • The current into both terminals of the op-amp is zero.

2. Given Information:

   • Input voltage ($v_s$) = 8 V.
   • A 1 V source is applied directly to the non-inverting terminal of the op-amp.
   • The inverting terminal is connected to the output voltage ($v_o$) through a feedback loop containing a 2 kΩ resistor.

   Since the non-inverting terminal is at 1 V, due to the ideal op-amp characteristics, the inverting terminal must also be at 1 V. This is because the voltage difference between the two terminals is zero.

3. Determine the Output Voltage:

   • The resistor creates a feedback loop, but because the voltage at the inverting terminal is 1 V (same as the non-inverting terminal), the output must stabilize at 1 V for balance.
   • Therefore, the output voltage is directly equal to the voltage at the inverting terminal.

Thus, the output voltage $v_o$ is 1 V.

Would you like more details or explanations on this analysis? Here are five related questions:

1. How does the feedback loop affect the output voltage in an op-amp?
2. What would happen if the resistor value were changed in this circuit?
3. How does an ideal op-amp differ from a real op-amp in behavior?
4. What is the purpose of the 2 kΩ resistor in this circuit?
5. What are the consequences of having non-zero current into the op-amp terminals?

Tip: In an ideal op-amp circuit, the output adjusts itself so that the voltage difference between the input terminals is zero.