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Gauss's Law for a Cylindrical Shell
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An infinitely long cylindrical shell with inner radius a and outer radius b has a volume charge density ρ = kr, where k is a constant and r is the distance from the axis. What is the electric field at a point r where a < r < b?

A

E = (k/2ε₀)(r² - a²)

B

E = (k/ε₀)(r - a²/r)

C

E = (k/3ε₀)(r² - a³/r)

D

E = (k/2ε₀)r²

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