Understanding RLC Circuits: Critical Damping & Homework Equations

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The discussion focuses on understanding RLC circuits, particularly critical damping and the associated equations. Participants express confusion over when to apply specific equations, especially in determining whether to solve for capacitor voltage (vc) or inductor current (iL) after classifying the damping type. There is a request for clarification on analyzing RLC circuits and reliable sources for further study. Additionally, there are corrections regarding the calculations of capacitor voltage and the circuit diagram, highlighting the importance of accurately representing circuit components. Overall, the conversation emphasizes the need for clear guidance on solving RLC circuit problems.
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Homework Statement



Image

Homework Equations



Critical Damping

* related to '*' on image : diL/dt = -vc(0) - Ri(0)
When do we use this to solve for the other constant? In the text, an example problem is never fully explained in mathematical terms.

The Attempt at a Solution



I am looking for someone to kind of explain what to keep an eye out for when analyzing RLC circuits, or provide a source. I have looked through a couple different textbooks and certain things vary and its leading to confusion. One particular concern is after we calculate whether a circuit is over/under damped or critical (I know the characteristic equations for each), are we solving vc or iL. Now I'm sure it depends on what the question asks, but sometimes it includes both instances. Can someone please sort this out for me?**EDIT**
The voltage for capacitor should be 12/5 = 2.4 Correct?
 

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dwn said:


**EDIT**
The voltage for capacitor should be 12/5 = 2.4 Correct?


Incorrect. What is the total resistance in series with L?

Also, your t(0+) diagram is wrong. The 1 ohm resistor has mysteriously migrated away from C!
 

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