Consider a cylindrical antenna of radius $R$ and length $L$. Assume the intensity of the radiation field inside the antenna is proportional to the square of distance from the cylindrical outer wall and proportional to $sin^2 (2πz/λ)$, where the $z$ coordinate aligns with the cylinder axis and $λ$ is the wavelength of the radiation (∼ 12cm for Wifi). Find the total energy inside the antenna as the integral of the intensity
2026-04-25 19:32:40.1777145560
Integral question calculus cylinders
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