Based on the non-inverting circuit, Vo equals which expression?

Based on the non-inverting circuit, Vo equals which expression?

• A. 4 x [(V1 + V2)/2]
• B. (V1 + V2)
• C. 2 x (V1 + V2)
• D. 4 x (V1 - V2)

Answer: (A)

The main idea is that this non-inverting arrangement scales the combined input voltages by a gain of two. The output ends up equal to 2 times the sum of the inputs: Vo = 2(V1 + V2). The form 4 × [(V1 + V2)/2] is just another way to express the same relationship, because 4 × [(V1 + V2)/2] simplifies to 2 × (V1 + V2). This matches the circuit’s gain and how the inputs are combined. The other expressions either miss the extra factor of 2, or use a difference (V1 − V2) instead of a sum, which would not reflect this circuit’s behavior.

The main idea is that this non-inverting arrangement scales the combined input voltages by a gain of two. The output ends up equal to 2 times the sum of the inputs: Vo = 2(V1 + V2). The form 4 × [(V1 + V2)/2] is just another way to express the same relationship, because 4 × [(V1 + V2)/2] simplifies to 2 × (V1 + V2). This matches the circuit’s gain and how the inputs are combined. The other expressions either miss the extra factor of 2, or use a difference (V1 − V2) instead of a sum, which would not reflect this circuit’s behavior.