Answered: find V1, V2, V3, and V4 from these 4…

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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find V1, V2, V3, and V4 from these 4 equations:

((5sin(120pi t) - V1) / 470) + ((V2-V1)/ -j3.195*10^3) + ((V3-V4)/-j56.92*10^3) = 0

((V1-V2)/-j3.195*10^3) + (V2/988) = 0

((V1-V3)/-j56.92*10^3) + ((V4-V3)/4670) = 0

((V3-V4)/4670) + (V4 / -j2.947*10^3) = 0

Expert Solution

Step 1

It is given that:

$\frac{5 \sin (120 πt) - V_{1}}{470} + \frac{V_{2} - V_{1}}{- j 3.195 \times 10^{3}} + \frac{V_{3} - V_{4}}{- j 56.92 \times 10^{3}} = 0 . . . . . . . (1) \frac{V_{1} - V_{2}}{- j 3.195 \times 10^{3}} + \frac{V_{2}}{988} = 0 . . . . . . (2) \frac{V_{1} - V_{3}}{- j 56.92 \times 10^{3}} + \frac{V_{4} - V_{3}}{4670} = 0 . . . . . . . (3) \frac{V_{3} - V_{4}}{4670} + \frac{V_{4}}{- j 2.947 \times 10^{3}} = 0 . . . . . . . (4)$

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