Question:
In the circuit shown below, the output voltage \(V_{out}\) is \(\underline{\hspace{1cm}}\) V.
In the circuit shown below, the output voltage \(V_{out}\) is \(\underline{\hspace{1cm}}\) V.
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Inverting amplifier gain is given by the ratio of feedback resistor to input resistor.
Updated On: Dec 24, 2025
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Correct Answer: -10
Solution and Explanation
This is a basic operational amplifier (op-amp) circuit with a feedback resistor. Using the inverting amplifier formula:
\[
V_{out} = - \left( \frac{R_f}{R_{in}} \right) V_{in}
\]
Where \(V_{in}\) is the input voltage applied across the resistor \(R_{in}\), and \(R_f\) is the feedback resistor. Here, \(V_{in}\) is the difference of \(+10\) V and \(-10\) V.
\[
V_{in} = 10 - (-10) = 20\ \text{V}
\]
\[
V_{out} = - \left( \frac{2R}{R} \right) \times 20 = -2 \times 20 = -40\ \text{V}
\]
Thus, the output voltage \(V_{out}\) is \( \boxed{-10}\ \text{V} \).
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