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3.3 Infinite cylinder and wire (more challenging) An infinite, grounded, conducting cylindrical shell of radius R lies centered on the z-axis and a wire with uniform charge per unit length lies parallel at a distance d > R. Use the method of images to find the potential everywhere outside the cylinder by considering a second wire with charge per unit length - at a distance a < R from the zaxis. Find ain terms of d, then write the potential outisde the cylinder. Include an additive constant in the potential to make it zero on the cylinder. A careful diagram in the xy-plane will help.
3.3 Infinite cylinder and wire (more challenging) An infinite, grounded, conducting cylindrical shell of radius R lies centered on the z-axis and a wire with uniform charge per unit length lies parallel at a distance d > R. Use the method of images to find the potential everywhere outside the cylinder by considering a second wire with charge per unit length - at a distance a < R from the zaxis. Find ain terms of d, then write the potential outisde the cylinder. Include an additive constant in the potential to make it zero on the cylinder. A careful diagram in the xy-plane will help.
3.3 Infinite cylinder and wire (more challenging) An infinite, grounded, conducting cylindrical shell of radius R lies centered on the z-axis and a wire with uniform charge per unit length lies parallel at a distance d > R. Use the method of images to find the potential everywhere outside the cylinder by considering a second wire with charge per unit length - at a distance a < R from the zaxis. Find ain terms of d, then write the potential outisde the cylinder. Include an additive constant in the potential to make it zero on the cylinder. A careful diagram in the xy-plane will help.
3.3 Infinite cylinder and wire (more challenging) An infinite, grounded, conducting cylindrical shell of radius R lies centered on the z-axis and a wire with uniform charge per unit length lies parallel at a distance d > R. Use the method of images to find the potential everywhere outside the cylinder by considering a second wire with charge per unit length - at a distance a < R from the zaxis. Find ain terms of d, then write the potential outisde the cylinder. Include an additive constant in the potential to make it zero on the cylinder. A careful diagram in the xy-plane will help.