How much charges on a hemisphere?

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Public Teaching Department， Huzhou Teacher’s College， Huzhou. Zhejiang 313000， China

Received date: 2020-12-23

Revised date: 2021-02-23

Online published: 2021-09-24

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The electric potential produced by two hemispheres with constant and opposite potential

is expressed as infinite sums of Legendre functions in spherical coordinate. The electric charge density and total charges on the

hemisphere are derived. Calculation shows that the charge is infinite.

Key words： hemisphere; Legendre function; charge density

QIU Wei-gang . How much charges on a hemisphere?[J]. College Physics, 2021 , 40(9) : 21 . DOI: 10.16854 / j.cnki.1000- 0712.200546

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