Candela to Lumens Calculator

Candela to Lumens calculator

It is a conversion calculator that converts the values in Candela (cd) to lumens (lm). Since Candela and lumens have different quantities the conversion would only be successful with an apex angle in degrees. This calculator has two text fields and two controls which perform different functions of the calculator. The first step is to enter the luminous intensity in candela. You will enter the apex angle in degrees in the second text field and then click on the ‘Calculate’ button. It is used to execute the calculation and the Luminous flux result in lumens will be displayed in the bottom platform of the calculator. If you want to perform new conversions, you will use the ‘Reset’ button to clear all the text fields.

For example;

If the luminous intensity in candela is 480 cd and the apex angle is 75°, find the luminous flux in lumens.

Solution

To calculate using the calculator, enter 480 in the text field of luminous intensity in candela and 75° as the apex angle respectively. Click the ‘Calculate’ button and the Luminous flux result in lumens will be;

= 623.23164291 (lm).

The Candela to lumens calculator uses a particular formula in executing the conversions. They are incorporated in the program to enable it determine accurate results in seconds.

Formula of calculating candela to lumens

Ф v (lm) = I v (cd) x Ω (sr), which means that for a uniform isotropic light source, the luminous flux in lumens is calculated by multiplying the luminous intensity in candela by the solid angle in steradians.

Ω (sr) = 2∏ (1 – Cos (Ө/2)), which means that the solid angle in steradians is calculated by two multiplied by pi times one minus the cosine of half the cone apex angle in degrees.

Ф v (lm) = I v (cd) x 2∏ (1 – Cos (Ө/2)), where, the luminous flux in lumens is computed by multiplying the luminous intensity in candela by the two times pi. It is then multiplied by one minus the cosine of half the cone apex angle in degrees.