电荷投影法在研究无限长导体薄板电荷分布规律中的应用

doi:10.16854 /j.cnki.1000-0712.200545

College Physics ›› 2021, Vol. 40 ›› Issue (7): 19-.doi: 10.16854 /j.cnki.1000-0712.200545

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Application of charge projection method in the study of charge distribution law of infinitely long conductor thin plate

ZHOU Qun-yi¹，MO Yun-fei²，ZHOU Li-li³，HOU Zhao-yang⁴

1. Guangzhou Institute of Science and Technology，Guangzhou，Guangdong 510540，China; 2. School of Electronic Information and Electrical Engineering，Changsha University，Changsha，Hunan 410022，China; 3. School of Medical and Information Engineering，Gannan Medical University，Ganzhou，Guangdong 341000，China; 4. School of Science，Chang’an University，Xi’an，Shaanxi 710064，China

Received:2020-12-23 Revised:2021-02-21 Online:2021-07-06 Published:2021-07-08

Abstract

Abstract: Using the charge distribution law of a uniformly charged cylinder of infinite

length and the field strength formula of an infinitely long charged straight line，and adopting

the charge projection method，the surface charge distribution of a charged conductor of finite

width and infinite length has been deduced. According to the principle of electric

potential superposition，the electric potential integral formula is derived; using the relationship

between field strength and electric potential，the integral formula of the two components of

electric field strength is derived. The formula is dimensionless，and the values of the components

of electric potential and field strength are calculated through numerical integration. The

electric potential and field strength of the charged conductor sheet of finite width and infinite

length are shown in the picture，and the two-dimensional equipotential lines and electric

field lines are also drawn in the diagram，which fully shows the distribution law of field strength.

Key words: charged conductor sheet, electric potential, electric field strength, dimensionless drawing

ZHOU Qun-yi¹, MO Yun-fei², ZHOU Li-li³, HOU Zhao-yang⁴. Application of charge projection method in the study of charge distribution law of infinitely long conductor thin plate[J].College Physics, 2021, 40(7): 19-.

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Application of charge projection method in the study of charge distribution law of infinitely long conductor thin plate

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