Question

In the circuit shown below, the output voltage \(V_{out}\) is \(\underline{\hspace{1cm}}\) V. 

Hint:

Inverting amplifier gain is given by the ratio of feedback resistor to input resistor.

Answer 1

Correct Answer: -10

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 \( \boxed{-10}\ \text{V} \).