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The inverting OP-AMP shown in the figure has an open loop gain of 100. The closed loop gain VV, is R, 10 K R,= 1K

The inverting OP-AMP shown in the figure has an open loop gain of 100. The closed loop gain VV, is R, 10 K R,= 1K

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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The problem states: "The inverting OP-AMP shown in the figure has an open loop gain of 100. The closed loop gain \( \frac{V_0}{V_s} \) is" Below this text is a diagram of an inverting operational amplifier (OP-AMP) circuit. ### Description of the Diagram: - **Components:** - **Resistor \( R_1 \):** 1 KΩ connected to the input voltage \( V_s \). - **Resistor \( R_f \):** 10 KΩ connected from the OP-AMP output to the inverting input. - **Operational Amplifier (OP-AMP):** Standard triangular symbol with the inverting input shown at the top and non-inverting input grounded. - **Connections:** - The input voltage \( V_s \) is fed through \( R_1 \) into the inverting input of the OP-AMP. - The feedback resistor \( R_f \) connects the output of the OP-AMP to the inverting input. - The non-inverting input is grounded. - The output voltage is labeled \( V_0 \). ### Question: The closed-loop gain options are given as: - a. \(-8\) - b. \(-9\) - c. \(-10\) - d. \(-11\) ### Explanation: In a standard inverting amplifier configuration, the closed-loop gain is given by: \[ \frac{V_0}{V_s} = -\frac{R_f}{R_1} \] Given \( R_f = 10 \text{ KΩ} \) and \( R_1 = 1 \text{ KΩ} \), the closed-loop gain is: \[ \frac{V_0}{V_s} = -\frac{10 \text{ KΩ}}{1 \text{ KΩ}} = -10 \] Thus, the correct answer is **c. \(-10\)**.
Transcribed Image Text:The problem states: "The inverting OP-AMP shown in the figure has an open loop gain of 100. The closed loop gain \( \frac{V_0}{V_s} \) is" Below this text is a diagram of an inverting operational amplifier (OP-AMP) circuit. ### Description of the Diagram: - **Components:** - **Resistor \( R_1 \):** 1 KΩ connected to the input voltage \( V_s \). - **Resistor \( R_f \):** 10 KΩ connected from the OP-AMP output to the inverting input. - **Operational Amplifier (OP-AMP):** Standard triangular symbol with the inverting input shown at the top and non-inverting input grounded. - **Connections:** - The input voltage \( V_s \) is fed through \( R_1 \) into the inverting input of the OP-AMP. - The feedback resistor \( R_f \) connects the output of the OP-AMP to the inverting input. - The non-inverting input is grounded. - The output voltage is labeled \( V_0 \). ### Question: The closed-loop gain options are given as: - a. \(-8\) - b. \(-9\) - c. \(-10\) - d. \(-11\) ### Explanation: In a standard inverting amplifier configuration, the closed-loop gain is given by: \[ \frac{V_0}{V_s} = -\frac{R_f}{R_1} \] Given \( R_f = 10 \text{ KΩ} \) and \( R_1 = 1 \text{ KΩ} \), the closed-loop gain is: \[ \frac{V_0}{V_s} = -\frac{10 \text{ KΩ}}{1 \text{ KΩ}} = -10 \] Thus, the correct answer is **c. \(-10\)**.
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