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[last updated: 2023-12-19]
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Units:
Conversion factors:
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For uniform, isotropic light source, the luminous flux Φv in lumens (lm) is equal to the luminous intensity Iv in millicandela (mcd),
times the solid angle Ω in steradians (sr) divided by 1000:
The solid angle Ω in steradians (sr) is equal to 2 times pi times 1 minus cosine of half the apex angle θ in degrees (°):
The luminous flux Φv in lumens (lm) is equal to the luminous intensity Iv in millicandela (mcd),
times 2 times pi times 1 minus cosine of half the apex angle θ in degrees (°) divided by 1000:
So: lumens = millicandela × ( 2π(1 - cos(degrees/2)) ) / 1000
Or: lm = mcd × ( 2π(1 - cos(°/2)) ) / 1000
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If a 10,000 lumen bulb shines on a 1 m2 area,
then it has a "luminous intensity" of 10,000 lux.
Note that all of the light from the bulb
must be focused on the 1 m2 area,
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