Capacitances and Potential Difference.

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SUMMARY

The discussion focuses on solving a circuit problem involving two capacitors, C1 and C2, connected in series with batteries of potential differences E1 and E2. Using Kirchhoff's loop equation, the relationship between the potential differences across the capacitors (v1 and v2) is established as E1 - V2 - E2 + V1 = 0 and E1 - E2 = V2 - V1. The key insight is that the charge on both capacitors must be equal, which is a fundamental property of capacitors in series. The participant acknowledges a moment of confusion due to fatigue while working through the problem.

PREREQUISITES
  • Understanding of Kirchhoff's loop law
  • Basic knowledge of capacitors and their behavior in circuits
  • Familiarity with potential difference and charge conservation principles
  • Ability to solve algebraic equations
NEXT STEPS
  • Study the implications of Kirchhoff's laws in complex circuits
  • Learn about the behavior of capacitors in series and parallel configurations
  • Explore the concept of charge conservation in electrical circuits
  • Practice solving circuit problems involving multiple components and potential differences
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Students studying electrical engineering, physics enthusiasts, and anyone looking to deepen their understanding of circuit analysis and capacitor behavior.

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Homework Statement


I am given a circuit wherein there is a capacitor C1 followed by a battery of PD E1 followed by a capacitor C2 followed by a battery of PD E2 connected back to C1. Find PD across C1 (v1) and C2 (v2)

| _ E2_|

C1 = = C2
|_E1_|

Homework Equations


Kirchoffs loop equation


The Attempt at a Solution


Applying Kirchoff's law we have,
E1 - V2 - E2 + V1 = 0
E1 - E2 = V2 - V1
Now what??
 
Last edited:
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You know that charge cannot flow between the capacitors, so the charges on them are equal.
 
Charges cannot flow alright. But how do you know they are equal?
 
I was extremely sleepy when doing this stuff. Obvious answers now that I've woken up. I wasn't even thinking. I don't even remember coming on here and making this thread. VERY SLEEPY. My mistake.
 

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