Understanding i(t) and v(t) Calculations

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SUMMARY

The discussion focuses on the calculations of current and voltage in a circuit involving capacitors. The formula for current is established as i(t) = i1f + i2f - ig. Participants seek to compute the voltage across a 1F capacitor and a 2F capacitor, as well as analyze the current through these capacitors. Additionally, the application of Kirchhoff's Current Law (KCL) at the node between the two capacitors is highlighted as essential for understanding the current distribution in the circuit.

PREREQUISITES
  • Understanding of capacitor behavior in electrical circuits
  • Familiarity with Kirchhoff's Current Law (KCL)
  • Basic knowledge of current and voltage calculations
  • Proficiency in circuit analysis techniques
NEXT STEPS
  • Learn how to compute voltage across capacitors using the formula v(t) = Q/C
  • Study the implications of KCL in multi-capacitor circuits
  • Explore transient analysis of capacitors in RC circuits
  • Investigate the relationship between current and voltage in capacitors over time
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing capacitor circuits will benefit from this discussion.

sofiapastrana
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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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