Lumens to millicandela calculator

Lumens to millicandela calculator

We are offering the Lumens (lm) to millicandela (mcd) calculator to help you in calculations.

Lumens to millicandela calculator

All you need is to enter the luminous flux in lumens, apex angle in degrees and press the hit button to get the luminous intensity measured in millicandela.

Enter luminous flux in lumens: lm
Enter apex angle in degrees: °
   
Luminous intensity result in millicandela: mcd

Lumens to millicandela calculation

For the uniform, the isotropic light source, the luminous intensity Iv measured in millicandela (mcd) is apparently equal to 1000 times the luminous flux Φv which is measured in lumens (lm), and th whole has to be divided by the solid angle Ω measured in steradians (sr).

Iv(mcd) = 1000 × Φv(lm) / Ω(sr)

The solid angle Ω which is measured in steradians (sr) is apparently equal to twice the value of pi multiplied by 1 minus cosine of half the apex angle θ calculated in degrees (°).

Ω(sr) = 2π(1 – cos(θ/2))

The value of the luminous intensity Iv is  apparently measured in millicandela (mcd) is apparently equal to 1000 times of the luminous flux Φv measured in lumens (lm), and divided by 2 times pi times 1 minus cosine of half the apex angle θ in degrees (°).

Iv(mcd) = 1000 × Φv(lm) / ( 2π(1 – cos(θ/2)) )

So the value can be found as,

millicandela = 1000 × lumens / ( 2π(1 – cos(degrees/2)) )

Or, it can be calculated as,

mcd = 1000 × lm / ( 2π(1 – cos(°/2)) )

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