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Problem R₁ + VRI V₁ R₂ V₂ R3 ww Figure P1 Using Nodal Analysis Method determine voltage VR1. Let R₁ = 122, R₂ = 62, R3 = 102, V₁ = 4 V, V₂ = 1 V:

Problem R₁ + VRI V₁ R₂ V₂ R3 ww Figure P1 Using Nodal Analysis Method determine voltage VR1. Let R₁ = 122, R₂ = 62, R3 = 102, V₁ = 4 V, V₂ = 1 V:

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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What is the voltage for the top middle node and the top right node?
Problem 1 R₁ + VRI V₂ 977 R3 V₁ R₂ Figure P1 Using Nodal Analysis Method determine voltage VR1. Let R₁ = 122, R₂ = 62, R3 = 10 92, V₁ = 4 V, V₂ = 1 V: a) Identify all (non-redundant) nodes and label them. b) Assign voltages and current for all components using the passive sign convention for passive components (resistors in this case). c) Pick one of the nodes as the ground node and set its node voltage to be 0 V. d) Associate node voltage with all other nodes. e) Obtain a required number of KCL equations. f) Write i-v characteristics for all components. g) Express voltages in terms of node voltages in f), so currents are now functions of node voltages. If current cannot be expressed in terms of node voltages, keep them as variables. h) Plug currents obtained in g) to KCL equations in e). i) Solve the system of equations ion h). j) Using f) and g), obtain the required result.
Transcribed Image Text:Problem 1 R₁ + VRI V₂ 977 R3 V₁ R₂ Figure P1 Using Nodal Analysis Method determine voltage VR1. Let R₁ = 122, R₂ = 62, R3 = 10 92, V₁ = 4 V, V₂ = 1 V: a) Identify all (non-redundant) nodes and label them. b) Assign voltages and current for all components using the passive sign convention for passive components (resistors in this case). c) Pick one of the nodes as the ground node and set its node voltage to be 0 V. d) Associate node voltage with all other nodes. e) Obtain a required number of KCL equations. f) Write i-v characteristics for all components. g) Express voltages in terms of node voltages in f), so currents are now functions of node voltages. If current cannot be expressed in terms of node voltages, keep them as variables. h) Plug currents obtained in g) to KCL equations in e). i) Solve the system of equations ion h). j) Using f) and g), obtain the required result.
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