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if a 100w light bulb illuminates the ceiling with a beam radius of 2m at a distance of 4m , calculate the inte?
We can treat the light bulb as a point source of light which radiates equally in all direction. Since it puts out 100 W of power, and light intensity is measured in W/m^2, we need to find the area through which the light is passing.
Since it is going in all directions, the area is that of a sphere with a radius equal to the distance from the light bulb. The formula for the area of a sphere of radius 1.45 meters is:
A = 4*π*R^2
A = 4*π*(1.45 m)^2
A = 26.42 m^2
Dividing the lightbulb's power output by the effective area at the specified distance, we get:
Intensity = P / A
Intensity = (100 W) / (26.42 m^2)
Intensity = 3.78 W/m^2
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Vehicle Post Mount Spotlight - 100W Halogen - 6" OD - 700' Spot Beam - Chrome
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