Find VO for the circuit shown. 20 ka5 kQ150 Q2 kQ+Vo+30 ΩVL6V

Answered: Find VO for the circuit shown

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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Question

Find V_Ofor the circuit shown.

Expert Solution

Step 1

Fig: Given circuit

From virtual ground concept

voltage at node A = V_A

voltage at node B = V₀

Step 2

$Apply KCL at node A \frac{V_{A} + 6}{2 \times 10^{3}} + \frac{V_{A}}{5 \times 10^{3}} + \frac{V_{A} - V_{0}}{20 \times 10^{3}} = 0 \frac{V_{A} + 6}{2} + \frac{V_{A}}{5} + \frac{V_{A} - V_{0}}{20} = 0 10 V_{A} + 60 + 4 V_{A} + V_{A} - V_{0} = 0 15 V_{A} - V_{0} = - 60 (1)$

similarly apply KCL at node V₀

$\frac{V_{0}}{0.18} + \frac{V_{0} - V_{A}}{20} = 0 \frac{V_{0}}{0.18} = \frac{V_{A} - V_{0}}{20} 112.11 V_{0} = V_{A} (i i)$

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