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Re: Capacitance to free space
Original poster: "Gerry Reynolds" <gerryreynolds-at-earthlink-dot-net>
> Original poster: "Antonio Carlos M. de Queiroz" <acmdq-at-uol-dot-com.br>
Capacitances are always
> proportional to the size, if the shape is kept.
Size being the area or linear dimension?? If I double the linear dimension
(proportions staying the same) of a toroid, will I 4x the cap or 2x the cap?
I bet you are right with size being a linear dimension.
Double the toroid linear dimension and the area increases 4x but the radius
of curvature also doubles and reduces the cap per unit area by 1/2. Hence
capacitance only doubles.
Double the size of a flat plate capacitor, the area increases 4x, but the
separation between plates also doubles and halves the capacitance per unit
area. Hence the capacitance only doubles.
> For some capacitance formulas, see:
> Antonio Carlos M. de Queiroz