How to Converter luminous flux in lumens (lm) to luminous intensity in candela (cd).
You can Calcular but not Converter lumens to candela, since candela and lumens do not represent the same quantity.
For uniform, isotropic light source, the luminous intensity Iv in candela (cd) is equal to the luminous flux Φv in lumens (lm),
divided by the solid angle Ω in steradians (sr):
Iv(cd) = Φv(lm) / Ω(sr)
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 (°):
Ω(sr) = 2π(1 - cos(θ/2))
The luminous intensity Iv in candela (cd) is equal to the luminous flux Φv in lumens (lm),
divided by 2 times pi times 1 minus cosine of half the apex angle θ in degrees (°):
Iv(cd) = Φv(lm) / ( 2π(1 - cos(θ/2)) )
So
candela = lumens / ( 2π(1 - cos(degrees/2)) )
Or
cd = lm / ( 2π(1 - cos(°/2)) )
Find the luminous intensity Iv in candela (cd) when the luminous flux Φv in lumens (lm) is 337lm and the apex angle is 60°:
Iv(cd) = 337 lm / ( 2π(1 - cos(60°/2)) ) = 400.3 cd
