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Find v1 in the circuits of the figures (a and b). In a the 3-kohm resistor "loads" the output; that is, v1 is changed by attaching the 3-kohm resistor in parallel with the lower 6-kohm resistor. However in b the isolation buffer holds v1 and vg/2, regardless of the presence of the 3-kohm resistor and its value.

Find v1 in the circuits of the figures (a and b). In a the 3-kohm resistor "loads" the output; that is, v1 is changed by attaching the 3-kohm resistor in parallel with the lower 6-kohm resistor. However in b the isolation buffer holds v1 and vg/2, regardless of the presence of the 3-kohm resistor and its value.

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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Find v1 in the circuits of the figures (a and b). In a the 3-kohm resistor "loads" the output; that is, v1 is changed by attaching the 3-kohm resistor in parallel with the lower 6-kohm resistor. However in b the isolation buffer holds v1 and vg/2, regardless of the presence of the 3-kohm resistor and its value.

**Figure P8.5** This image contains two circuit diagrams, labeled (a) and (b). **Diagram (a):** - This is a simple resistive circuit. - It includes a voltage source labeled \( v_g \). - Two resistors of 6 kΩ each are connected in series with the voltage source. - A third resistor of 3 kΩ is connected parallel to the second 6 kΩ resistor. - The output voltage across the 3 kΩ resistor is labeled \( v_1 \). **Diagram (b):** - This circuit includes an operational amplifier. - Like diagram (a), it has a voltage source labeled \( v_g \). - Two resistors of 6 kΩ each are in series, one connected to the positive terminal of the voltage source. - The circuit is grounded at the midpoint between these two resistors. - The operational amplifier is configured as a voltage follower or buffer. - A 3 kΩ resistor is placed across the output terminal of the operational amplifier. - The output voltage across this 3 kΩ resistor is also labeled \( v_1 \). These diagrams illustrate the basic configurations of resistive and op-amp circuits, highlighting how resistors can be arranged to manipulate voltage distribution in circuits.
Transcribed Image Text:**Figure P8.5** This image contains two circuit diagrams, labeled (a) and (b). **Diagram (a):** - This is a simple resistive circuit. - It includes a voltage source labeled \( v_g \). - Two resistors of 6 kΩ each are connected in series with the voltage source. - A third resistor of 3 kΩ is connected parallel to the second 6 kΩ resistor. - The output voltage across the 3 kΩ resistor is labeled \( v_1 \). **Diagram (b):** - This circuit includes an operational amplifier. - Like diagram (a), it has a voltage source labeled \( v_g \). - Two resistors of 6 kΩ each are in series, one connected to the positive terminal of the voltage source. - The circuit is grounded at the midpoint between these two resistors. - The operational amplifier is configured as a voltage follower or buffer. - A 3 kΩ resistor is placed across the output terminal of the operational amplifier. - The output voltage across this 3 kΩ resistor is also labeled \( v_1 \). These diagrams illustrate the basic configurations of resistive and op-amp circuits, highlighting how resistors can be arranged to manipulate voltage distribution in circuits.
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