Capacitance from a separated plate disk

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SUMMARY

The discussion centers on calculating capacitance for two parallel plate disks with area A and separation distance d. The relevant formula for capacitance is C = ε0A/d, where ε0 represents the permittivity of free space. The user seeks to graph capacitance (C) against x, defined as 1/d, and inquires about the significance of half-life in the context of exponential decay. The formula for capacitance is confirmed to be applicable in this scenario.

PREREQUISITES
  • Understanding of parallel plate capacitor theory
  • Familiarity with the formula C = ε0A/d
  • Knowledge of exponential decay concepts
  • Ability to graph mathematical relationships
NEXT STEPS
  • Research the implications of half-life in electrical circuits
  • Learn about the physical significance of ε0 (permittivity of free space)
  • Explore graphical representation of capacitance vs. distance
  • Investigate the effects of varying area (A) on capacitance
USEFUL FOR

Students studying physics or electrical engineering, particularly those focusing on capacitor design and behavior in circuits.

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Homework Statement



Ok, let's say that I have two plate disk, with an area of A and they are separated with a distance d apart from each other. I need to measure the half-life of exponential decay to calculate capacitance. I need to graph C vs x = 1/d, however how can I get C ??


Homework Equations





The Attempt at a Solution

 
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kindly be a bit clear. what is x here. we have a formula of C = e0A/d for capacitance in the form of parallel plate. is it working?
 
Last edited:
x = 1/d ... yes, C = e0A/d works.. what does the half-life of exponential decay means?
 

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