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A long, thin straight wire with linear charge density \lambda runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2(\lambda). Assume \lambda is positive.

Find expressions for the magnitude of the electric field strength outside the cylinder, r > R.

2. Homework Equations

q1=\lambda

q2=2(\lambda)

3. The Attempt at a Solution

Enet = E_line + E_cylinder

Eline = 1/4(\pi)(\epsilon_0) * ((2(\lambda))/r)

Ecylinder = ?

Having trouble determining the field of the cylinder, and how that effects the overall field based on a gaussian surface. Any tips come to mind?