Engineering Is My Critically Damped RLC Circuit Formula Correct?

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SUMMARY

The discussion centers on the correctness of the formula for a critically damped RLC circuit. The participant confirms that their formula aligns with established principles for series RLC circuits but questions the presence of a 900t term in their solution. The conversation highlights the importance of analyzing the initial conditions, specifically the sign of dVC/dt at time t = 0+, to ensure accurate calculations. Clarification on the direction of initial current flow is also emphasized as a critical factor in determining the circuit's behavior.

PREREQUISITES
  • Understanding of RLC circuit theory
  • Familiarity with critically damped systems
  • Knowledge of differential equations
  • Ability to analyze circuit behavior at initial conditions
NEXT STEPS
  • Review the derivation of critically damped RLC circuit equations
  • Study the impact of initial conditions on circuit response
  • Learn about the role of current direction in circuit analysis
  • Explore advanced topics in circuit theory, such as Laplace transforms
USEFUL FOR

Electrical engineers, physics students, and anyone studying circuit analysis or working with RLC circuits will benefit from this discussion.

gfd43tg
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Hello, I am working on this problem

ImageUploadedByPhysics Forums1399262763.143729.jpg


However, I am getting a 900t term that the solution is lacking. I am wondering if what I did was wrong. My formula is consistent with the formula for a series RLC circuit that is critically damped.

ImageUploadedByPhysics Forums1399262780.749543.jpg
 
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Check: What is the sign of dVC/dt at time t = 0+ ? Hint: In which direction is the initial current flowing?
 
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oh, I see. Thanks!
 

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