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Thursday, 2 March 2017

Electric Charges and Fields - III


Electric field E, due to an infinitely long straight wire of uniform linear charge density λ:

where r is the perpendicular distance of the point from the wire and is the radial unit vector in the plane normal to the wire passing through the point.

Electric field E, due to an infinite thin plane sheet of uniform surface charge density σ:

Where n is a unit vector normal to the plane, outward on either side.

Electric field E, due to thin spherical shell of uniform surface charge density σ:

where r is the distance of the point from the centre of the shell and R the radius of the shell, q is the total charge of the shell & q = 4πR2σ.

Electric field E along the outward normal to the surface is zero and σ is the surface charge density. Charges in a conductor can reside only at its surface. Potential is constant within and on the surface of a conductor. In a cavity within a conductor (with no charges), the electric field is zero.

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