magnetizm

http://www.owlnet.rice.edu/~fjones/chap14.pdf

http://www.astro.uvic.ca/~tatum/elmag/em17.pdf

Electric Field of Line Charge

The electric field of a line of charge can be found by superposing the ponit charge fields of infinitesmal charge elements. The radial part of the field from a charge element is given by

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

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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 usingGauss' 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

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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 usingGauss' 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

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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

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http://www.hwscience.com/Physics/apphysicsc/emhw/set2a.pdf

Electric Field due to a Hollow Cylinder of Charge

When we draw a Gaussian cylinder of radius r, we find that the charge enclosed by it is zero

Central Board of Secondary Education [12]

1/9/2010Print This PageTell - A - FriendAdd to Wish ListReport Error

Electric Field due to a Hollow Cylinder of Charge (a) Inside the cylinder (radial distance < R) : When we draw a Gaussian cylinder of radius r, we find that the charge enclosed by it is zero. This is possible if E = 0 (b) Outside the cylinder (radial distance > R) : ( qenc = λl) Variation of E with r is also shown graphically here.