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The given circuit involves three operational amplifiers (op-amps) with several resistors connected in various configurations. We'll analyze each stage step by step to determine the output voltage \( V_o \).

### Step 1: Input Stage (First Op-Amp)
- This is a **non-inverting amplifier** with an input voltage of \( V = 70 \, \text{mV} \).
- The resistor values are \( R_1 = 10 \, \text{k}\Omega \) and \( R_2 = 100 \, \text{k}\Omega \).

The voltage gain \( A_1 \) for a non-inverting amplifier is given by:
\[
A_1 = 1 + \frac{R_2}{R_1}
\]
Substitute the values:
\[
A_1 = 1 + \frac{100 \, \text{k}\Omega}{10 \, \text{k}\Omega} = 1 + 10 = 11
\]

Thus, the output voltage of the first op-amp, \( V_1 \), is:
\[
V_1 = A_1 \cdot V = 11 \cdot 70 \, \text{mV} = 770 \, \text{mV}
\]

### Step 2: Second Op-Amp (Inverting Amplifier)
- This is an **inverting amplifier** with an input \( V_1 = 770 \, \text{mV} \).
- The resistor values are \( R_f = 100 \, \text{k}\Omega \) (feedback resistor) and \( R_{in} = 30 \, \text{k}\Omega \).

The gain for the inverting amplifier is:
\[
A_2 = -\frac{R_f}{R_{in}}
\]
Substitute the values:
\[
A_2 = -\frac{100 \, \text{k}\Omega}{30 \, \text{k}\Omega} = -\frac{10}{3}
\]

Thus, the output voltage of the second op-amp, \( V_2 \), is:
\[
V_2 = A_2 \cdot V_1 = -\frac{10}{3} \cdot 770 \, \text{mV} = -2566.67 \, \text{mV}
\]

### Step 3: Third Op-Amp (Non-Inverting Amplifier)
- The third stage is another **non-inverting amplifier** with an input \( V_2 = -2566.67 \, \text{mV} \).
- The resistor values are \( R_3 = 50 \, \text{k}\Omega \) and \( R_4 = 70 \, \text{k}\Omega \).

The voltage gain \( A_3 \) for this non-inverting amplifier is given by:
\[
A_3 = 1 + \frac{R_4}{R_3}
\]
Substitute the values:
\[
A_3 = 1 + \frac{70 \, \text{k}\Omega}{50 \, \text{k}\Omega} = 1 + 1.4 = 2.4
\]

Thus, the final output voltage \( V_o \) is:
\[
V_o = A_3 \cdot V_2 = 2.4 \cdot (-2566.67 \, \text{mV}) = -6160 \, \text{mV}
\]

### Final Output Voltage
The output voltage \( V_o \) in the circuit is approximately:
\[
V_o \approx -6160 \, \text{mV} = -6.16 \, \text{V}
\]

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Let me know if you would like further details or have any questions!

### 5 Related Questions:
1. How does the non-inverting amplifier configuration affect the gain?
2. What would happen to the output if the input voltage was increased to 100 mV?
3. How would you modify the circuit to increase the overall gain?
4. Can you explain the difference between inverting and non-inverting amplifier configurations?
5. How does the feedback resistor in an inverting amplifier influence the output?

### Tip:
When analyzing op-amp circuits, always start by identifying the type of configuration (inverting, non-inverting) and calculate the gain for each stage separately before moving on to the next.

Find the output voltage Vo in the op-amp circuit, where V = 70 mV.

Analyze the three-stage operational amplifier circuit to find the output voltage Vo, given an input voltage of 70mV. Learn about inverting and non-inverting amplifiers, voltage gain calculations, and the step-by-step solution using relevant formulas.

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