Question

An infinite line of charge with a uniform linear charge density λ runs along the ˆz-axis. This line also lies along the axis of an infinite dielectric shell, of dielectric constant K, whose inner radius is a and whose outer radius is b, and an infinite, neutral conducting shell whose inner radius is b and whose outer radius is c.

a b C K n K
a. What is the electric field everywhere in space?
b. What is the surface charge density on the inner surface of the conductor?
c. What is the surface charge density on the outer surface of the conductor?

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Answer #1

* from from Gauss law fé odds = Venclosed E consider a Cylindrical Gaussian surface of radius r and length l around charge di

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