Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

Consider the OpAmp circuit showing below in which Vin=1.5V, Vs+=12V, Vs-=-12V, R1=1K, R2=2K, R3=3K, R4=4K, R5=5k and R6=6k. Find Vout and iout.

### Circuit Analysis Problem **Problem Statement:** Consider the circuit shown below in which: - \( V_{\text{in}} = 1.5 \, \text{V} \) - \( V_{\text{s}}^+ = 12 \, \text{V} \) - \( V_{\text{s}}^- \) (implied from context, likely negative supply rail) The resistances are given as: - \( R_1 = 2 \, \text{k}\Omega \) - \( R_2 = 3 \, \text{k}\Omega \) - \( R_3 = 4 \, \text{k}\Omega \) - \( R_4 = 5 \, \text{k}\Omega \) - \( R_5 = 6 \, \text{k}\Omega \) Find \( V_{\text{out}} \) and \( i_{\text{out}} \). **Circuit Diagram Description:** The circuit includes: - A voltage source \( V_{\text{in}} \) with positive and negative terminals connected to \( R_1 \). - Resistors \( R_1, R_2, R_4, \) and \( R_5 \) are connected in a configuration that includes an operational amplifier (op-amp). - The non-inverting terminal (\(+\)) of the op-amp is connected to the junction between \( R_2 \) and \( R_4 \). - The inverting terminal (\(-\)) of the op-amp is connected between \( R_3 \), which leads to ground, and the feedback path. - The op-amp gives an output \( V_{\text{out}} \) across \( R_6 \) with a direction for \( i_{\text{out}} \) indicated. **Task:** Analyze the circuit to determine \( V_{\text{out}} \) and \( i_{\text{out}} \) using the given resistances and input voltage values. Consider the role of the op-amp and its power supply constraints in the analysis.
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Transcribed Image Text:### Circuit Analysis Problem **Problem Statement:** Consider the circuit shown below in which: - \( V_{\text{in}} = 1.5 \, \text{V} \) - \( V_{\text{s}}^+ = 12 \, \text{V} \) - \( V_{\text{s}}^- \) (implied from context, likely negative supply rail) The resistances are given as: - \( R_1 = 2 \, \text{k}\Omega \) - \( R_2 = 3 \, \text{k}\Omega \) - \( R_3 = 4 \, \text{k}\Omega \) - \( R_4 = 5 \, \text{k}\Omega \) - \( R_5 = 6 \, \text{k}\Omega \) Find \( V_{\text{out}} \) and \( i_{\text{out}} \). **Circuit Diagram Description:** The circuit includes: - A voltage source \( V_{\text{in}} \) with positive and negative terminals connected to \( R_1 \). - Resistors \( R_1, R_2, R_4, \) and \( R_5 \) are connected in a configuration that includes an operational amplifier (op-amp). - The non-inverting terminal (\(+\)) of the op-amp is connected to the junction between \( R_2 \) and \( R_4 \). - The inverting terminal (\(-\)) of the op-amp is connected between \( R_3 \), which leads to ground, and the feedback path. - The op-amp gives an output \( V_{\text{out}} \) across \( R_6 \) with a direction for \( i_{\text{out}} \) indicated. **Task:** Analyze the circuit to determine \( V_{\text{out}} \) and \( i_{\text{out}} \) using the given resistances and input voltage values. Consider the role of the op-amp and its power supply constraints in the analysis.
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