TY - JOUR

T1 - Electrostatic potential of a uniformly charged disk through Green’s theorem

AU - Sagaydak, Alina E.

AU - Silagadze, Zurab K.

PY - 2025/1/31

Y1 - 2025/1/31

N2 - All existing derivations of the electrostatic potential of a uniformly charged disk are technically rather involved. In an old and now almost forgotten publication, Duffin and McWhirter proposed a method for calculating the electrostatic potentials of planar bodies by a skillful application of Green’s theorem. It is shown that this method significantly simplifies the problem of calculating the electrostatic potential of a uniformly charged disk and makes it an almost trivial task.

AB - All existing derivations of the electrostatic potential of a uniformly charged disk are technically rather involved. In an old and now almost forgotten publication, Duffin and McWhirter proposed a method for calculating the electrostatic potentials of planar bodies by a skillful application of Green’s theorem. It is shown that this method significantly simplifies the problem of calculating the electrostatic potential of a uniformly charged disk and makes it an almost trivial task.

KW - Green’s theorem

KW - electrostatic potential

KW - uniformly charged disk

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85217574044&origin=inward&txGid=296e7b8d9b7d77dbd4e39ba00dc18427

UR - https://www.elibrary.ru/item.asp?id=80059451

UR - https://www.mendeley.com/catalogue/abeeeade-653a-31db-a405-af360049df22/

U2 - 10.1088/1361-6404/ad9ae8

DO - 10.1088/1361-6404/ad9ae8

M3 - Article

VL - 46

JO - European Journal of Physics

JF - European Journal of Physics

SN - 0143-0807

IS - 1

M1 - 015203

ER -