Question:

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: Sep 19, 2025
  • \( 0.5(v_1 + v_2)(1 + \frac{R_2}{R_1}) \)
  • \( (v_1 + v_2)(1 + \frac{R_2}{R_1}) \)
  • \( 1.5(v_1 + v_2)(1 + \frac{R_2}{R_1}) \)
  • \( 0.5(v_1 - v_2)(1 + \frac{R_2}{R_1}) \)
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The Correct Option is A

Solution and Explanation

This is a differential amplifier configuration. The equation for \(v_{\text{out}}\) is derived from the resistor values and the input voltages: \[ v_{\text{out}} = 0.5(v_1 + v_2)\left(1 + \frac{R_2}{R_1}\right) \]
Final Answer: \[ \boxed{0.5(v_1 + v_2)(1 + \frac{R_2}{R_1})} \]
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