With Rf = 50 kΩ and Rin such that the gain magnitude is 10, Rin = 5 kΩ yields a gain of

With Rf = 50 kΩ and Rin such that the gain magnitude is 10, Rin = 5 kΩ yields a gain of

• A. 5
• B. 50
• C. 100
• D. 10

Answer: (D)

In an inverting op-amp configuration, the closed-loop gain magnitude is determined by the ratio of the feedback resistor to the input resistor: |A_v| = R_f / R_in. The sign is negative, meaning the output is inverted relative to the input. Here, R_f is 50 kΩ and R_in is 5 kΩ, so the magnitude of the gain is 50/5 = 10. Since the question asks for the gain magnitude, the answer is 10. If you consider the sign, the actual gain is -10, reflecting inversion. The other numerical options don’t match the resistor ratio.

In an inverting op-amp configuration, the closed-loop gain magnitude is determined by the ratio of the feedback resistor to the input resistor: |A_v| = R_f / R_in. The sign is negative, meaning the output is inverted relative to the input. Here, R_f is 50 kΩ and R_in is 5 kΩ, so the magnitude of the gain is 50/5 = 10. Since the question asks for the gain magnitude, the answer is 10. If you consider the sign, the actual gain is -10, reflecting inversion. The other numerical options don’t match the resistor ratio.