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edison (5135)

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Olaaa!! Perrrfect answer. 903  [1213 rates]

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Cosine Law (Lambert cosine law) Illuminance of any surface varies as cosine of angle of incidence. E = 1/d2 cos theta where d = distance of source angle of incidence (cos theta = 1, cos 90 = 0)
Cosine cubed law - E = I cos3theta / h2 distance of source 'd' can be replaced by h/cos theta where h is perpendicular distance of source from plane in which measurement point is located.
Inverse square law and cosine law can be combined. E = (I cos theta ) / d2 Most meters are cosine corrected.

Luminance/Reflectance/Apostilbs

With a non-luminous surface e.g. a wall, what the eye sees - the brightness or luminance of the surface - depends on the reflectance i.e. the ratio of reflected light to incident light. With an illuminance of 500 lux and a reflectance of 0.4 the luminance of the surface will be 200 apostilbs.
  • Illuminance (lux) x reflectance = luminance (apostilbs).
  • Apostilbs is not an SI unit. To convert this to SI (candelas m-2) divide by pi (or multiply by 0.318).
  • If the Munsell "Value" reference of a color is known the reflectance can be approximately calculated using Reflectance = V(V - 1) where V = value.
  • If Munsell "value" is 6, reflectance = 6 x 5 = 30% = .3.
  • Since in most rooms the different surfaces will have different colors, they will reflect differing amounts of light and this will affect the distribution of light in the room.

Reflectance

  • For a perfectly diffusely reflecting surface, the ratio of the reflected luminous flux to the incident luminous flux is the reflectance.
  • Luminance = illuminance x reflectance / pi
  • Reflectance = illuminance / luminance
  • When the surface is not perfectly diffusely reflecting, reflectance is replaced by a

    luminance factor

    Luminance factor is the ratio of the luminance of a surface viewed from a particular position and lit in a specified way to the luminance of a diffusely reflecting white surface viewed from the same direction and lit in the same way. Here Luminance = illuminance x luminance factor / pi
    In lighting practice

    illuminance

    and

    luminance

    are most frequently used to characterise the effect of lighting.

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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