# Electric Field of Line Charge

 The electric field of an infinite line charge with a uniform linear charge density can be obtained by a using Gauss' law. Considering a Gaussian surface in the form of a cylinder at radius r, the electric field has the same magnitude at every point of the cylinder and is directed outward. The electric flux is then just the electric field times the area of the cylinder.
 Field for finite line charge
 Charged conducting cylinder Cylinder of uniform charge
 Fields for other charge geometries
Index

Electric field concepts

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# Electric Field: Conducting Cylinder

 The electric field of an infinite cylindrical conductor with a uniform linear charge density can be obtained by using Gauss' law. Considering a Gaussian surface in the form of a cylinder at radius r > R, the electric field has the same magnitude at every point of the cylinder and is directed outward. The electric flux is then just the electric field times the area of the cylinder.
 Line charge Cylinder of uniform charge
 Fields for other charge geometries
Index

Electric field concepts

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# Electric Field:Cylinder of Charge

 The electric field of an infinite cylinder of uniform volume charge density can be obtained by a using Gauss' law. Considering a Gaussian surface in the form of a cylinder at radius r > R, the electric field has the same magnitude at every point of the cylinder and is directed outward. The electric flux is then just the electric field times the area of the cylinder.
 Show form inside cylinder
 Line charge Charged conducting cylinder
 Fields for other charge geometries
Index

Electric field concepts

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# Inside a Cylinder of Charge

 The electric field inside an infinite cylinder of uniform charge is radially outward (by symmetry), but a cylindridal Gaussian surface would enclose less than the total charge Q. The charge inside a radius r is given by the ratio of the volumes:
 The electric flux is then given by
 and the electric field is
Note that the limit at r= R agrees with the expression for r >= R.
 Field outside charged cylinder
Index

Electric field concepts

 HyperPhysics***** Electricity and Magnetism R Nave
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