How Do You Determine Capacitance from a ln(r) vs V Graph?

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SUMMARY

The discussion focuses on determining capacitance from a ln(r) vs V graph. The user has plotted ln(r) against voltage (V) but is unsure how to extract capacitance values from this representation. The theoretical capacitance calculated using the formula C = 2πε/ln(r/a) is 40 pF. Participants emphasize the importance of visualizing the graph for accurate analysis and suggest that capacitance is defined as Q/V.

PREREQUISITES
  • Understanding of capacitance and its formula C = Q/V
  • Familiarity with logarithmic functions and their graphical representations
  • Knowledge of the relationship between resistance (r) and voltage (V)
  • Basic concepts of electrical properties such as permittivity (ε)
NEXT STEPS
  • Study the derivation and application of the formula C = 2πε/ln(r/a)
  • Learn how to interpret and analyze ln(r) vs V graphs in electrical contexts
  • Explore practical examples of capacitance measurement techniques
  • Investigate the significance of permittivity in capacitance calculations
USEFUL FOR

Students in physics or electrical engineering, educators teaching capacitance concepts, and anyone involved in experimental analysis of electrical properties.

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Homework Statement



i have a graph or r against V and to make it a straight plot i then plotted ln(r) against V,

Homework Equations





The Attempt at a Solution


the problem is i dnt know how to find the capacitance from the graph. it definitely isn't the gradient or the point of interception since the capacitance needs to be in the pF. I've already worked out what the capacitance should be theoretically i.e. using C= 2[tex]\pi[/tex][tex]\epsilon[/tex]/ln (r/a) and it came out to be 40pF

any advice would be appreciated. Thankyou
 
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You know that C is defined as Q/V. Nobody can see your graph so nobody will really be able to help you at all.
 

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