MHB Mesh Currents with Differential Equations

AI Thread Summary
The discussion focuses on using mesh currents and differential equations to analyze a circuit problem. The user expresses confusion about the relationship between the mesh current and the physical current for resistor R1, questioning why i1 isn't simply calculated as V/R. Guidance is provided that emphasizes the importance of understanding the behavior of capacitors at t=0 and t=∞, suggesting that solving differential equations isn't necessary for this specific problem. The advice encourages leveraging knowledge of capacitor charging and discharging to find the required answers. Overall, the discussion aims to clarify the application of mesh analysis in circuit analysis.
madbo517
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I've attached a picture of the problem statement, figure, and of my work so far.

I'm trying to use mesh currents and then differentiate it, but I really have no idea if I'm on the right track.

Also, I don't understand why i1 isn't just V/R (The physical current is the mesh current for R1, right?).

As you can tell, I'm pretty lost.
Would appreciate any help offered :)
 

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Because the problem only asks for what's happening at $t=0$ and $t=\infty$, you won't actually have to solve any DE's for this problem. Remember what a charged and discharged capacitor look like, right? So you can use that knowledge to determine the answers to the questions asked.
 
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