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A very long, strainght, thin wire carries -3.60 nCm^(-1) of fixed negative charge. The wire is to be surrounded by a uniform cylinder of positive charge, radius 1.50 cm, coaxial with the wire. The volume charge density rho of the cylinder is to be selected is zero. Calculate the required positive charge density rho (in muCm^(-3)).

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Solution :We don't really need ot write an interal, we juset need the CHARGE per unit LENGTH in the cyliner to be equal to ZERO. This means that the positive charge in cylinder must be `+3.60 nC m^(-1).` This positive charge is uniformaly distributned in a circle of radius `R=1.50` cm, so
`rho =(3.60nC m^(-1))/(piR^(2))=(3.60nCm^(-1))/(pi(0.015m)^(2))=5 MUC m^(-3).`


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