Conductance of 2 bodies: Is it dependent on geometry?

AI Thread Summary
The discussion centers on proving that the charge transfer between two arbitrarily shaped conductors is solely dependent on their geometry. Participants explore the analogy of this scenario to capacitors, noting that the voltages are relative to a reference point, which introduces capacitance between the conductors and that reference. The conversation suggests examining the parallel plate capacitor equation, emphasizing that if current is related only to measurements in meters or square meters, it confirms the geometric dependence. The key takeaway is that the charge transferred is independent of other factors, relying only on the geometry and potential difference. This highlights the fundamental relationship between geometry and electrical conductance in this context.
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Homework Statement



I have 2 arbitrarily shaped conductors with charge Q1 and Q2 with potetials V1 and V2 respectively. I then short them (connect with a thin metallic thread) now i have to prove that the amount of charge that flows from one to the other is: Only dependent on the geometry of the conductors.

Homework Equations



Does this behave like a capacitor, if so how?
 
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The voltages are with respect to something. There is capacitance between themselves and that something.
 
yes but how do i prove the original question? that charge transferred is independent of all factors except geometry and potential difference?
 
Perhaps look at the equation for a parallel plate capacitor. In particular the units. If the current depends only on quantities measured in meters or square meters then you've proved it depends on geometry.
 

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