半无限大平行板电容器电场的深入研究和可视化

doi:10.16854/j.cnki.1000-0712.250431

College Physics ›› 2026, Vol. 45 ›› Issue (6): 7-.doi: 10.16854/j.cnki.1000-0712.250431

Previous Articles Next Articles

Deep study and visualization of the electric field of semi-infinite parallel plate capacitor#br#

ZHOU Qunyi1, LIU Tiangui1, ZHONG Zheng2, MO Yunfei3, CHEN Chuansheng4

1. School ofPhysics and Electronics, Hunan University, Changsha, Hunan 410082, China;
2. The First Middle School of Ganzhou, Ganzhou, Jiangxi 341000, China;
3. School of Electronic Information and Electrical Engineering, Changsha University, Changsha, Hunan 410022, China;
4. School of Materials Science andEnginerring, Changsha University of Science and Technology, Changsha, Hunan 410114, China

Received:2025-08-15 Accepted:2025-10-02 Online:2026-08-01 Published:2026-08-26

Abstract

Abstract: The electric field of a semiinfinite parallel plate capacitor is a typical problem, which can reflect the basic characteristics for the electric field of a parallel plate capacitor. SchwarzChristopher transform is needed to solve the electric field of semiinfinite parallel plate capacitors. By using the transformation formula of ζ plane and z plane, the parametric equation of the equipotential line and the electric field line is derived, and then the explicit function equation is derived, and the curves of the equipotential line and a set of the electric field line are plotted. Besides, the implicit function of the electric field component and the magnitude and direction of the combined field strength are obtained. The threedimensional surface is drawn and the law of the electric field distribution is explained.

Key words: semiinfinite parallel plate capacitors, equipotential line, electric field line, electric field strength, charge density

ZHOU Qunyi1, LIU Tiangui1, ZHONG Zheng2, MO Yunfei3, CHEN Chuansheng4. Deep study and visualization of the electric field of semi-infinite parallel plate capacitor#br#[J].College Physics, 2026, 45(6): 7-.

[1]	HAO Qinghai, ZHANG Hongyan, CHAO Minglu, TAN Hongge, YANG Xiong. Spatial distribution of the electrostatic field generated by a line charge on a Penrose kiteshaped tile#br# [J]. College Physics, 2026, 45(4): 54-.
[2]	JIA Xiaowen, FAN Haiying. Numerical solution and visualization of electric field line equations [J]. College Physics, 2025, 44(7): 25-.
[3]	ZHANG Nan, WANG Ping, XIE Ting-yue, TIAN Cui-feng. Electric field distribution of regular hexagon line charge [J]. College Physics, 2024, 43(7): 69-.
[4]	WU Zhi-yong, CAO Xiu-feng. Charge distribution of two charged conductor spheres at equal potential [J]. College Physics, 2023, 42(7): 61-.
[5]	CAO Yan-peng, ZHANG Zhi-lan, BAO Zhi-gang, MA Qiao-yun, ZHOU Yan. Mapping the electrostatic field based on the pen mouse and the microcrystalline conductive plate [J]. College Physics, 2023, 42(11): 18-.
[6]	ZHOU Qun-yi, ZHOU Li-li, MO Yun-fei, HOU Zhao-yang. Discussion on “The electric charge density distribution of a charged conducting definite straight line” [J]. College Physics, 2022, 41(6): 31-.
[7]	ZHOU Qun-yi, ZHOU Li-li, MO Yun-fei, HOU Zhao-yang, LIU Tian-gui. Improvement and error correction of “Solution of the electric field line equation in two-dimensional complex electrostatic field and numerical simulation” [J]. College Physics, 2022, 41(07): 22-.
[8]	QIU Wei-gang. How much charges on a hemisphere? [J]. College Physics, 2021, 40(9): 21-.
[9]	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-.
[10]	WU Xianyun, LI Bin. Discussion on the solution of electric field strengths distribution on the axis of a uniformly charged hemispheroid [J]. College Physics, 2020, 39(10): 22-28.
[11]	YIN Yong, WANG Fuqian. Solution of the electric field line equation in two-dimensional complex electrostatic field and numerical simulation [J]. College Physics, 2020, 39(07): 20-24.
[12]	LIU Yang, ZHOU Zi-shu. A measuring method and instrument of DC electric-field strength [J]. College Physics, 2019, 38(4): 18-22.
[13]	YU Feng-jun. Electric field in the cavity of a charged thick ellipsoidal shell [J]. College Physics, 2018, 37(10): 12-14.
[14]	JIA Qi-fei，LEI Hong-bin，LV Lin-zheng，CUI Li-bin. Exploring the difference of ultrasonic grating diffraction in non-electrolyte and electrolyte solution [J]. College Physics, 2017, 36(11): 78-81.
[15]	JIA Xiu-min. Distribution of electric field between coaxial double conical surfaces [J]. College Physics, 2017, 36(10): 11-12.

Deep study and visualization of the electric field of semi-infinite parallel plate capacitor#br#

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0