Fields or Integration

Electricity and Magnetism Level pending

Let there be a right circular hollow cone of half angle 30 (in degrees). Charge is uniformly distributed on the surface of the cone. Find the field at the center of the base of the cone.

Notes and Assumptions

  1. Surface charge density: \(\sigma = 10^{-10 }\text{ C m}^{-2}\)

  2. Permittivity of free space: \(\epsilon = 8.85 \times 10^{-12}\text{ m}^{-3}\text{kg}^{-1}\text{s}^4 \text{A}^2\)

3.Report your answer up to 3 decimal places.


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