find voltages V1 and V4 (in terms of Vs and the resistances) using each of the following methodsuse voltage division and series/parallel combination of resistorsuse mesh analysis to determine I1 and I2, then V1=R1I1 and V4=R4I2use nodal analysis to find Va,Vb and Vc, then V1=Va-Vb and V4=Vc Problem 3Find voltages Vi and Vs ( in terms of V, and the resistances ) using each of the following methods:use voltage division and series/parallel combination of resistors.use mesh analysis to determine I and I2, then Vi = R111 and V4 = R412.use nodal analysis to find Va, Vo and Ve, then Vi = Va – Vo and Va = Ve.V₂Va+ ViR1hR3VoR212mR4

The circuit diagram is shown below,

find voltages V1 and V4 (in terms of Vs and the resistances) using each of the following methods use voltage division and series/parallel combination of resistors use mesh analysis to determine I1 and I2, then V1=R1I1 and V4=R4I2 use nodal analysis to find Va,Vb and Vc, then V1=Va-Vb and V4=Vc

find voltages V1 and V4 (in terms of Vs and the resistances) using each of the following methods use voltage division and series/parallel combination of resistors use mesh analysis to determine I1 and I2, then V1=R1I1 and V4=R4I2 use nodal analysis to find Va,Vb and Vc, then V1=Va-Vb and V4=Vc

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.61P

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Concept explainers

Thevenin Theorem

Any linear circuit, no matter how complex, maybe simplified to an equivalent circuit utilizing only a single voltage source and series resistance coupled to a load, according to Thevenin's Theorem. The superposition principle says that all foundational equations must be linear, and the notion of "linear" is still the same (i.e., there should not be any exponentials or roots). This is particularly the case when operating with passive elements like resistors, inductors, and capacitors. However, some components (particularly some gaseous and semiconductor devices like tunnel diode, Schottky diode, transistors like BJT, MOSFET) are nonlinear, meaning their current resistance fluctuates with voltage and current. As a result, circuits made up of these parts are known as nonlinear circuits.

Question

find voltages V1 and V4 (in terms of Vs and the resistances) using each of the following methods

use voltage division and series/parallel combination of resistors

use mesh analysis to determine I1 and I2, then V1=R1I1 and V4=R4I2

use nodal analysis to find Va,Vb and Vc, then V1=Va-Vb and V4=Vc

Problem 3
Find voltages Vi and Vs ( in terms of V, and the resistances ) using each of the following methods:
use voltage division and series/parallel combination of resistors.
use mesh analysis to determine I and I2, then Vi = R111 and V4 = R412.
use nodal analysis to find Va, Vo and Ve, then Vi = Va – Vo and Va = Ve.
V₂
Va
+ Vi
R1
h
R3
Vo
R2
12
m
R4

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