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Electric fields in the presence of conducting objects
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View: Figures


Image of Fig. 1.
Fig. 1.

A conducting object is in a region where external sources not shown in the figure and the induced surface charge density produce an electric field .

Image of Fig. 2.
Fig. 2.

The induced surface charge density produces an electric field inside the conducting surface to cancel the electric field of the external sources, with the conductor absent. It also produces a perturbing electric field outside the surface.

Image of Fig. 3.
Fig. 3.

Illustration of the proposed approach: The electric fields due to the surface charge density plus the external field are equivalent to the electric field distribution in Fig. 1, where .

Image of Fig. 4.
Fig. 4.

A uniform charged sheet above an infinite conducting plane and the equivalent system of charges. The electric field inside the conducting plane is canceled if .

Image of Fig. 5.
Fig. 5.

A point charge located near an infinite plane conductor and the equivalent system of charges. The electric field produced by the surface charge density cancels the electric field due to the point charge inside the conductor.

Image of Fig. 6.
Fig. 6.

Conducting sphere placed in a uniform electric field and the equivalent system made up of the uniform external field plus a surface charge density . This surface charge produces a field inside the conducting surface that cancels the external electric field.

Image of Fig. 7.
Fig. 7.

A point charge placed at inside a conducting spherical cavity of radius and the equivalent system of charges. The surface charge density produces the same electric field outside the cavity as a point charge placed at .

Image of Fig. 8.
Fig. 8.

Neutral spherical conductor of radius and charge inside a cavity of radius .

Image of Fig. 9.
Fig. 9.

Ring of total charge inside a conducting spherical cavity.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Electric fields in the presence of conducting objects