Question:medium

Considering the op-amp to be ideal, the \(v_{\text{out}}\) is expressed as:

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For differential amplifiers, use the feedback resistor ratio to determine the gain.
Updated On: Feb 18, 2026
  • \( 0.5(v_1 + v_2)(1 + \frac{R_2}{R_1}) \)
  • \( (v_1 + v_2)(1 + \frac{R_2}{R_1}) \)
  • \( 1.5(v_1 + v_2)(1 + \frac{R_2}{R_1}) \)
  • \( 0.5(v_1 - v_2)(1 + \frac{R_2}{R_1}) \)
Show Solution

The Correct Option is A

Solution and Explanation

This circuit represents a differential amplifier. The output voltage, \(v_{\text{out}}\), is calculated based on the input voltages and resistor values using the following formula:\[v_{\text{out}} = 0.5(v_1 + v_2)\left(1 + \frac{R_2}{R_1}\right)\]
Final Answer: \[\boxed{0.5(v_1 + v_2)(1 + \frac{R_2}{R_1})}\]
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