Find Vc(0): Node Analysis & Ohms Law

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SUMMARY

The discussion focuses on finding Vc(0) using node analysis and Ohm's Law. Participants emphasize the importance of correctly expressing Vo in terms of other circuit quantities, particularly the branch current. A key suggestion is to derive Vo from the identified branch current, with specific calculations involving a 10V source and a 25Ω resistor. The conversation highlights the necessity of adhering to the order of operations in circuit analysis.

PREREQUISITES
  • Understanding of node analysis in electrical circuits
  • Familiarity with Ohm's Law
  • Basic knowledge of circuit components such as resistors and voltage sources
  • Ability to manipulate algebraic expressions for circuit analysis
NEXT STEPS
  • Learn how to apply node voltage analysis in complex circuits
  • Study the implications of Ohm's Law in circuit design
  • Explore techniques for simplifying circuit equations
  • Investigate common mistakes in circuit analysis and how to avoid them
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Electrical engineering students, circuit designers, and anyone looking to improve their skills in circuit analysis and problem-solving using node analysis and Ohm's Law.

sammyqw
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Homework Statement


find Vc(0)

Homework Equations


Node analysis , ohms law

The Attempt at a Solution


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Hi, I'm trying to find Vc(0). I used node analysis but I'm stuck in eq 1. I'll appreciate if someone can give me some suggestions. Thanks
 
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Looks like you need to replace Vo with something. Go back to your schematic and see if you can express Vo in terms of the other quantities pertaining to the branch it's in.
 
gneill said:
Looks like you need to replace Vo with something. Go back to your schematic and see if you can express Vo in terms of the other quantities pertaining to the branch it's in.
Can I replace Vo with V-10/25 ?
 
sammyqw said:
Can I replace Vo with V-10/25 ?
Do you mean (V-10)/25? (Order of operations is important). No, that would be the branch current flowing from v towards the 10 V source. But that's a start. What would be Vo in terms of that current?
 
gneill said:
Do you mean (V-10)/25? (Order of operations is important). No, that would be the branch current flowing from v towards the 10 V source. But that's a start. What would be Vo in terms of that current?
it would be some current i = Vo/20 ?
 
sammyqw said:
it would be some current i = Vo/20 ?
That's the idea. But you've already identified the branch current in post #3.
 
gneill said:
That's the idea. But you've already identified the branch current in post #3.
Can I do i=10/25 = 0.4A then find Vo= (0.4)20 =8V and then just replace it in my equation 2?
 
sammyqw said:
Can I do i=10/25 = 0.4A then find Vo= (0.4)20 =8V and then just replace it in my equation 2?
No because the battery voltage is not across the branch. What is an expression for the branch current (you wrote one as a term in your node equation!)?
 

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