How Can You Measure Electrostatic Charge in a DIY Experiment?

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Hello, I needed some help for my physics homework. The aim is to design an experiment that answers the question: Is the number of rubs of a piece of mica (that bag where you put documents to file them or to protect them, often made of plastic. Here is a Pic: http://images.segundamano.com.mx/2011/03/01/6057833/19405116.jpg ) against a piece of wool directly proportional to the charge that it gains? The only thing I'm missing is a way to measure the charge, Could you give me a hand?
Sincerely Gabriel De la Torre
 
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Don't know if this would be sufficiently sensitive, but:
get an oscilloscope with a high input impedance (standard probes are Z = 10MΩ), charge your mica, set the sweep speed to something like 1 us/division, and record the trace: it should look like V0e-t/RC where R = 'scope input Z, C = capacitance between your mica and ground; then V0 = Q/C where Q is the charge you initially put on the mica. All units SI.

You find RC at the time point when the voltage is about 0.37V0.

Example: Z = 10MΩ, C = 1 pF, then RC = 10us = t at 0.37V0, and then Q = 1e-12/V0.

What I don't have a good feel for is how much charge you can get onto the mica. In order for the above to be feasible you would need V0 at least 10 mV (probably; depends on your scope sensitivity), so 1e-2V = Q/1e-12F or Q should be at least about 1e-14 C. That's about 62,000 electrons.




Good luck!
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.

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