A thin wire of infinite extent has a charge per unit length of ?. Using the cyli

Question

A thin wire of infinite extent has a charge per unit length of ?. Using the cylindrical Gaussian surface shown in the figure below, it can be shown that the electric field produced by this wire at a radial distance r (where r is in meters) has the following magnitude. E = ? / 2??0r Assume that the electric field at a distance of r = 50.0 cm from the wire has a magnitude of 30,400 N/C. (a) What is the magnitude of the charge per length on this wire? (b) At what distance from the wire is the magnitude of the electric field equal to 1/2 (30,400 N/C)?

Explanation / Answer

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