ISOLATED CHARGE CONDUCTOR A charged particle or body is said to be an isolated charge if it exists uninfluenced by any other charge , that is not experiencing the effect of any other charge . This charged body could have a positive charge or a negative charge . An isolated conductor is any metal object not connected to or not in contact with any other conductor . ... Electric field is always zero everywhere inside the conductor . Electric field from charges is always perpendicular to the surface at any point.
A Conductor in an Electric Field A charge +q is suspended at the center of a hollow, electrically neutral, spherical conductor in illustrates . Show that this charge induces (a) a charge of –q on the interior surface and (b) a charge of +q on the exterior surface of the conductor . Figure (A) A positive charge + q is suspended at the center of a hollow spherical conductor that is electrically neutral. Induced charges appear on the inner and outer surfaces of the conductor. The electric field within the conductor itself is zero. Figure A
Gauss’s Law The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. The electric flux through an area is defined as the electric field multiplied by the area of the surface projected in a plane perpendicular to the field.
Applications of Gauss’s Law Gauss’s Law can be used to solve complex electrostatic problems involving unique symmetries like cylindrical, spherical or planar symmetry .