A long, thin straight wire linear charge density lamba runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2lamba. Assume lamba is positive.
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The charge distribution has cylindrical symmetry, therefore the electric field must also have this symmetry and so the vector of the electric field E is directed radially along the cylinder ...
This solution provides calculations for expressions regarding the magnitude of an electric field.