How to measure a capacitance of an isolated object?

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Discussion Overview

The discussion revolves around methods to measure the capacitance of isolated objects, such as conductive spheres or coils. Participants explore the feasibility of using typical RLC meters for this purpose and the theoretical underpinnings of capacitance measurement in such contexts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the reliability of measuring capacitance using an RLC meter by only touching one probe to the isolated object, noting sporadic readings that align with theoretical expectations.
  • Another participant emphasizes that capacitance is defined between two objects or surfaces, suggesting that a measurement must be made with respect to something else.
  • A different participant proposes that the capacitance of a single object can be conceptualized with respect to a large sphere approaching infinite radius, referencing the capacitance of the Earth as an example.
  • Some participants express uncertainty about the practical measurement of capacitance for isolated objects, suggesting that enclosing the object in a large sphere could provide a good approximation for measurement.
  • There is mention of the need for further research and reference texts to clarify measurement techniques and theoretical concepts.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the measurement techniques for capacitance of isolated objects. Multiple competing views and uncertainties remain regarding the practical application and theoretical definitions involved.

Contextual Notes

Limitations include the dependence on the definition of capacitance and the assumptions regarding the measurement setup, particularly the size of the enclosing sphere relative to the isolated object.

Artlav
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How can you measure a capacitance of an isolated object, like a conductive sphere or a coil?

Can it be done using a typical RLC meter?
I've tried touching only one end of the probe to the object in question, and that seems to give sporadic readings, but within the order of magnitude of the theoretical expectation.

How to do it reliably, if there is a way?
 
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Artlav said:
How can you measure a capacitance of an isolated object, like a conductive sphere or a coil?

Can it be done using a typical RLC meter?
I've tried touching only one end of the probe to the object in question, and that seems to give sporadic readings, but within the order of magnitude of the theoretical expectation.

How to do it reliably, if there is a way?

By definition, capacitance is between two objects or surfaces. You need to measure the capacitance of your "isolated" object with respect to something.
 
I believe that the capacitance of a single object is measured wrt a sphere of large radius approaching infinite. E.g. the capacitance of the Earth is around 710 uf, IIRC from memory. The large sphere enclosing the object is 1 electrode, with the object being the other. Taking the limit as the radius of the sphere approaches infinite gives the capacitance of the object. I believe Halliday & Resnick physics texts have illustrative examples of this.

Did I help?

Claude
 
hi claude! :smile:

but how do you measure it?
 
tiny-tim said:
hi claude! :smile:

but how do you measure it?

I'm not sure as to how it is measured. Capacitance of a single object is valid theoretically, but I'm not sure about it being a measurable quantity. I would say a good approximation is to enclose said object inside a sphere whose radius is large compared with the object dimensions, then measure capacitance between object & sphere. That should get you in the ball park. Of course as the sphere radius increases, the measurement gets more accurate, eventually converging. Maybe tonight I'll look this subject up. I have several good reference texts. Off the cuff, that would be my approach. Comments welcome.

Claude
 

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