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AP Physics C: E&M
8.6 Gauss’s Law
BeginnerMCQMathematical14.2k
An infinitely long vertical thin line representing a uniform positive line charge labeled with linear charge density \lambda. Coaxial with this line is a closed cylindrical Gaussian surface of radius r and length L drawn with light dashed lines. A radial dashed line labeled r extends horizontally from the central axis to the curved cylindrical wall. Vector arrows labeled \vec{E} point perpendicularly outward from the curved side of the cylinder. No other labels, text, or axes appear.
A line charge enclosed by a coaxial cylindrical Gaussian surface.
An infinitely long, straight line of charge carries a uniform positive linear charge density \(\lambda\). A coaxial cylindrical Gaussian surface of radius \(r\) and length \(L\) is used to analyze the field. Which of the following expressions gives the magnitude of the electric field \(E\) at a perpendicular distance \(r\) from the line of charge?

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