College Physics ›› 2021, Vol. 40 ›› Issue (3): 8-11.doi: 10.16854 /j.cnki.1000-0712.200308
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CAO Xiao-ge1,YANG Yang2
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Abstract: It is investigated in this paper how the capacitance of parallel circular-plate and rectangular-plate
capacitors varies with the size,respectively. For each kind of capacitor,first it is assumed that charge is distributed
uniformly on the plate,then approximate values of capacitance can be obtained conveniently,afterwards more accurate
values are obtained via finite element simulation using Ansoft. By comparison,it is discovered that results obtained
using the approximation of uniform charge distribution can reflect correctly the tendancy how the capacitance
varies with the size,which is better than the capacitance formula of parallel-plate capacitor in textbooks; however,
those values are smaller,since charge is not strictly distributed uniformly on the plate,but less in the middle and
more on the edge.
Key words: parallel-plate capacitor, size effect, finite element simulation
CAO Xiao-ge, YANG Yang. The size effect of parallel-plate capacitor[J].College Physics, 2021, 40(3): 8-11.
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