**Transcription for Educational Website**---**Problem Statement:**For the difference amplifier in Fig. 6_4, if \( V_1 = 3 \sin(10t) \, (V) \), \( V_2 = 6 \sin(10t) \, (V) \), and \( R = 20 \, \Omega \), what is \( V_{\text{out}} \)?**Diagram Description:**- The diagram shows a difference amplifier circuit configuration.- It includes two voltage sources \( V_1 \) and \( V_2 \).- Both inputs \( V_1 \) and \( V_2 \), are connected through resistors labeled \( R \) to the inverting and non-inverting inputs of an operational amplifier (op-amp).- The op-amp has feedback resistance \( R \) and another \( R \) connected to ground from the non-inverting input.- The output voltage is labeled \( V_{\text{out}} \), with \( R_L \) connecting it to ground.**Answer Choices:**- \( \circ \) \( 3 \sin(10t) \, (V) \)- \( \circ \) \(-3 \sin(10t) \, (V) \)- \( \circ \) \(-9 \sin(10t) \, (V) \)- \( \circ \) \( 9 \sin(10t) \, (V) \)---**Solution Explanation:**To determine \( V_{\text{out}} \) for a difference amplifier, use the formula:\[ V_{\text{out}} = \left( \frac{R_f}{R_1} \right) (V_2 - V_1) \]In this case, all resistors are equal (\( R = R_f = R_1 \)), so:\[ V_{\text{out}} = V_2 - V_1 \]Substituting the given values:\[ V_{\text{out}} = 6 \sin(10t) - 3 \sin(10t) = 3 \sin(10t)\]This corresponds to the answer choice:\( \circ \) \( 3 \sin(10t) \, (V) \)Thus, the correct answer is \( 3

Answered: Image /qna-images/answer/87f789b1-db9a-4888-bc9e-9749f8732274.jpg

For the difference amplifier in Fig. 6_4, if V₁ = 3 sin10t (V), V₂= 6 sin10t (V), and R= 20 Ohm, what is Vout? V₁ V₂ 3 sin10t (V) -3 sin10t (V) -9 sin10t (V) 9 sin 10t (V) R R R Fig. 6_4 R ww Vout RL

For the difference amplifier in Fig. 6_4, if V₁ = 3 sin10t (V), V₂= 6 sin10t (V), and R= 20 Ohm, what is Vout? V₁ V₂ 3 sin10t (V) -3 sin10t (V) -9 sin10t (V) 9 sin 10t (V) R R R Fig. 6_4 R ww Vout RL

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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