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Concept Version 11
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Conductors and Fields in Static Equilibrium

In the presence of charge or an electric field, the charges in a conductor will redistribute until they reach static equilibrium.

Learning Objective

  • Describe behavior of charges in a conductor in the presence of charge or an electric field and under static equilibrium


Key Points

    • The presence of charge or an electric field will force charges in a conductor to redistribute along the conductor's surface until static equilibrium is achieved.
    • At static equilibrium, charge will be more concentrated in sharp, pointy areas of conductors than elsewhere.
    • At static equilibrium, the inside of a conductor will be entirely shielded from an external electric field.

Term

  • static equilibrium

    the physical state in which all components of a system are at rest and the net force is equal to zero throughout the system


Full Text

Conductors are materials in which charges can move freely. If conductors are exposed to charge or an electric field, their internal charges will rearrange rapidly. For example, if a neutral conductor comes into contact with a rod containing a negative charge, some of that negative charge will transfer to the conductor at the point of contact. But the charge will not stay local to the contact point -- it will distribute itself evenly over the surface of the conductor. Once the charges are redistributed, the conductor is in a state of electrostatic equilibrium. It should be noted that the distribution of charges depends on the shape of the conductor and that static equilibrium may not necessarily involve an even distribution of charges, which tend to aggregate in higher concentrations around sharp points. This is explained in .

Electrical Charge at a Sharp Point of a Conductor

Forces between like charges at either end of the conductor are identical, but the components of the forces parallel to the surfaces are different. The component parallel to the surface is greatest on the flattest surface and therefore moves charges away from one another more freely. This explains the difference in concentration of charge on flat vs. pointed areas of a conductor.

Similarly, if a conductor is placed in an electric field, the charges within the conductor will move until the field is perpendicular to the surface of the conductor. Negative charges in the conductor will align themselves towards the positive end of the electric field, leaving positive charges at the negative end of the field. The conductor thus becomes polarized, with the electric field becoming stronger near the conductor but disintegrating inside it. This occurrence is similar to that observed in a Faraday cage, which is an enclosure made of a conducting material that shields the inside from an external electric charge or field or shields the outside from an internal electric charge or field.

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