illumination

16 - Light placed above the center of circular area

MaxMin 16 Light placed above the circle

Problem 16

A light is to be placed above the center of a circular area of radius a. What height gives the best illumination on a circular walk surrounding the area? (When light from a point source strikes a surface obliquely, the intensity of illumination is

 

72 - 74 Light intensity of illumination and theory of attraction

DiffCalc 022 Light illuminating a circular area

Problem 72

A light is to be placed above the center of a circular area of radius a. What height gives the best illumination on a circular walk surrounding the area? (When light from a point source strikes a surface obliquely, the intensity of illumination is

I = \dfrac{k \sin \theta}{d^2}

where θ is the angle of incidence and d the distance from the source.)

 

Solution:

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