Capacitance of three-layered cylinders

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SUMMARY

The discussion focuses on calculating the capacitance of a system consisting of three cylindrical layers: an outer grounded cylinder, an inner grounded cylinder, and an ungrounded middle cylinder. The capacitance is defined as the ratio of charge to potential, and in this case, the system can be analyzed as two capacitors in series. The user has successfully calculated the charges based on the potential of the middle cylinder but seeks clarification on the overall capacitance of the three-layered configuration.

PREREQUISITES
  • Understanding of electrostatics and capacitance principles
  • Familiarity with cylindrical coordinates and geometry
  • Knowledge of series and parallel capacitor configurations
  • Basic proficiency in calculating electric fields and potentials
NEXT STEPS
  • Study the derivation of capacitance for cylindrical capacitors
  • Learn about the concept of capacitors in series and their equivalent capacitance
  • Explore the effects of grounding on capacitance in multi-layer systems
  • Investigate numerical methods for calculating capacitance in complex geometries
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Students and professionals in electrical engineering, physicists, and anyone involved in the design and analysis of capacitive systems, particularly those working with cylindrical geometries.

Fibo112
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I have an outer cylinder and an inner cylinder given. They are hollow(like if you were to take a sheet of paper and tape one edge to the other), grounded, and the inner cylinder is inside the outer cylinder. Between these cylinders is an ungrounded cylinder. I am now asked to calculate the capacitance of this system. I have calculated all the charges based on the potential of the middle cylinder.

I don't quite understand what is meant by the capacitance of this system though. I know that the capacitance of one conductor is the ratio of its charge to its potential, and the capacitance of two conductors would be the ratio of charge to potential difference in the sense that they each have the same charge but with different sign.

But what is meant here?
 
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You have two capacitors in series. You can determine the capacitance for both of them.
 

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