Gauss's Law for a Cylindrical Shell
An infinitely long cylindrical shell has an inner radius a and an outer radius b. The shell possesses a volume charge density described by ρ = kr, where k is a constant and r is the radial distance from the axis. What is the electric field at a distance r from the axis, within the region a < r < b?
A
E = (k/2ε₀)(r² - a²)
B
E = (k/3ε₀)(r² - a³/r)
C
E = (k/2ε₀)r²
D
E = (k/ε₀)(r - a²/r)
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