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Calculating Illuminance of a panel light

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Hello,

I would like to build a panel light with four flourescent tubes.
The tubes have a diameter of 26 mm and are 1200 mm long.
They have a distance of 42 mm one to another.

The tubes are mounted on a board, that is covered with aluminium foil as a reflector. Each tube produces a luminous flux of 2340 Lumen.

I would like to calculate the illuminance in Lux in one meter perpendicular distance of the panel light.

How can I do that ?

The result does not have to be perfect – a result within 10 – 20 % of the actual value would be satisfactory.

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