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nassboy
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Is there a proof that states that if a system only contains perfect conductors, dielectrics and voltage sources that the capacitance between any two conductors is only geometry dependent?
When i studied it i tried to imagine the capacitance as the capability of a system to "hold fields", because you always want to stack charges, but only a strong field can give you the possibility to do that.nassboy said:I kind of see what you are saying from the differential equations, but it is hard to see it qualitatively for me. If I look at a system with 3 conductors placed at 3 different potentials, I can't visualize how the capacitance between two of the three is not changed by the potential of the third...but is changed by the 3rd conductor being there.
Capacitance is the ability of a conductor to store electric charge. It is measured in units of farads (F).
The capacitance of a system is directly proportional to the surface area of the conductors and inversely proportional to the distance between them. This means that the geometry of the conductors has a significant impact on the capacitance.
This phrase refers to the fact that the capacitance of a system is solely determined by the shape and size of the conductors, and not affected by other factors such as the material of the conductors or the voltage applied.
Capacitance plays a crucial role in many electronic devices and systems. It is used in circuits for filtering, timing, and energy storage, and is also a fundamental property in the design of antennas and capacitive touchscreens.
The capacitance of a system can be calculated using the formula C = ε0A/d, where C is the capacitance, ε0 is the permittivity of free space, A is the surface area of the conductors, and d is the distance between them. For more complex geometries, numerical methods or computer simulations may be necessary.