Understanding i(t) and v(t) Calculations

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The discussion focuses on calculating i(t) and v(t) in a circuit involving capacitors. The formula i(t) = i1f + i2f - ig is proposed for the current calculation. Participants seek clarification on the current through a 1F capacitor and its implications for voltage, as well as the voltage across a 2F capacitor and its effect on current. Additionally, the application of Kirchhoff's Current Law (KCL) at the node between the two capacitors is questioned. Understanding these calculations is essential for analyzing the circuit's behavior.
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Homework Statement
Compute i(t) and v(t).
Relevant Equations
i=C*dv(t)/dt
Kirchhoff laws
I think i(t)= i1f + i2f -ig. I want to be sure of it and I also need to compute v(t), but I don't know how to.
 

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What is the current through the 1F capacitor? What does that tell you about the voltage across that capacitor?
What is the voltage across the 2F capacitor? What does that tell you about the current through that capacitor?
What is KCL (the current sum) at the node between the two capacitors?
 

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