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AP Physics C: E&M
8.4 Electric Fields of Charge Distributions
AdvancedMCQMathematical22.1k
A 3D perspective diagram showing a hollow truncated cone aligned symmetrically along the positive z-axis, with its imaginary apex located at the origin O. The half-angle at the apex is labeled \theta_0, measured between the central z-axis and the sloped side of the cone. The inner boundary of the truncated cone is a circle at slant distance r_1 from the origin O, and the outer boundary is a larger circle at slant distance r_2 from the origin O. The sloped surface between r_1 and r_2 is shaded lightly and labeled with uniform surface charge density \sigma. The point at the origin is labeled 'Apex'. No other vectors, field lines, or axes appear.
Truncated hollow cone centered along the z-axis with apex at origin O.
A hollow, open-ended truncated cone has a uniform surface charge density \(\sigma\). The cone has a half-angle \(\theta_0\) and extends along its sloped surface from a slant distance \(r_1\) to a slant distance \(r_2\) from its apex, as shown in the diagram. Which of the following expressions represents the magnitude of the electric field at the apex of the truncated cone?

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