Solve Vo: Voltage Nodal Analysis w/ KCL Equation

Click For Summary
SUMMARY

The discussion focuses on solving for the output voltage Vo in a circuit using voltage nodal analysis and Kirchhoff's Current Law (KCL). The equation provided is: [(Vb-10v)/10Ω] + (Vb/40Ω) + [(Vb+20iΔ)/20Ω] = 0. It is confirmed that Vo equals Vb, which is across the 40Ω resistor, and the dependent voltage source 20iΔ is negative due to the current leaving node C. The polarity of the dependent source affects the voltage at node Vc, which is also noted as negative.

PREREQUISITES
  • Understanding of Kirchhoff's Current Law (KCL)
  • Familiarity with nodal analysis in electrical circuits
  • Knowledge of dependent sources in circuit analysis
  • Basic concepts of voltage and current in resistive circuits
NEXT STEPS
  • Study the application of Kirchhoff's Current Law in complex circuits
  • Learn about dependent and independent sources in circuit analysis
  • Explore advanced nodal analysis techniques for multi-node circuits
  • Review the impact of polarity in circuit components on voltage calculations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing electrical circuits using nodal analysis and KCL.

elhaxx
Messages
1
Reaction score
0
1566725276772.png

I'm asked to solve for Vo for this equation. I've set the bottom node to be my reference node before applying nodal analysis. When included in the KCL equation for node at Vb, will the dependent voltage source 20iΔ be negative since the current through that element is leaving node C?
Say, the equation would be: [(Vb-10v)/10Ω]+ (Vb/40Ω)+[(Vb+20iΔ)/20Ω]=0
Thanks!
 
Physics news on Phys.org
I moved this to the homework forum. Please post homework questions to a homework forum and fill out the required information.
 
elhaxx said:
When included in the KCL equation for node at Vb, will the dependent voltage source 20iΔ be negative since the current through that element is leaving node C?

–20iΔ is the voltage Vc

(typo corrected)
 
  • Like
Likes   Reactions: elhaxx
Welcome to the PF.
elhaxx said:
I'm asked to solve for Vo for this equation.
I see Va, Vb, Vc labeled, but no Vo label. Which voltage are you supposed to solve for? Thanks.
 
berkeman said:
Welcome to the PF.

I see Va, Vb, Vc labeled, but no Vo label. Which voltage are you supposed to solve for? Thanks.
Vo = Vb, labeled across the 40ohm resistor.
 
Your equation looks good to me. The voltage at node Vc is negative because of the polarity of the dependent source, as labeled in the schematic.
 
  • Like
Likes   Reactions: elhaxx

Similar threads

Help with Circuit Nodal Analysis
  • · Replies 2 ·
Replies
2
Views
2K
Find voltage using nodal analysis
  • · Replies 4 ·
Replies
4
Views
2K
Engineering Why is the voltage source high potential into node 1 at -12 V in this op amp problem?
  • · Replies 15 ·
Replies
15
Views
2K
Engineering Why Is Nodal Analysis Confusing in This Circuit Example?
  • · Replies 7 ·
Replies
7
Views
2K
Engineering How do I find Vth with the node voltage method?
  • · Replies 10 ·
Replies
10
Views
4K
Solving Voltage Source Nodal Analysis: Find Vo
  • · Replies 3 ·
Replies
3
Views
2K
Solving for Vo: Nodal Analysis Approach
  • · Replies 7 ·
Replies
7
Views
2K
Engineering Solve this Circuit using both Nodal Analysis and Mesh Analysis
  • · Replies 15 ·
Replies
15
Views
4K
Find V1 & V2 with Nodal Voltage Analysis
  • · Replies 1 ·
Replies
1
Views
2K
How Does Nodal Analysis Determine Currents in a Circuit with Multiple Resistors?
  • · Replies 3 ·
Replies
3
Views
2K