What evidence supports the inverse square law in Coulomb's law?

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how columb knew that the force between the charge is inverse square law in nature
 
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With careful measurements with the use of a torsion balance () he saw it was ~1/r². Today we've tested that the power of r is exactly 2 to about 15 decimals or so.
 
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Hello! Let's say I have a cavity resonant at 10 GHz with a Q factor of 1000. Given the Lorentzian shape of the cavity, I can also drive the cavity at, say 100 MHz. Of course the response will be very very weak, but non-zero given that the Loretzian shape never really reaches zero. I am trying to understand how are the magnetic and electric field distributions of the field at 100 MHz relative to the ones at 10 GHz? In particular, if inside the cavity I have some structure, such as 2 plates...
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