How much light passes through a window?

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Homework Help Overview

The problem involves calculating the amount of light passing through a window from a lamp emitting 1600 lumens, considering the distances and areas involved. The subject area relates to light intensity and distribution, particularly in the context of optics.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the light emitted by the lamp and the area of the window, questioning how to calculate the fraction of light that passes through. There are considerations about whether the light source is isotropic and how to apply area ratios in the calculations.

Discussion Status

Participants are exploring different interpretations of the problem, particularly regarding the isotropic nature of the light source and how to apply area ratios. Some guidance has been offered regarding treating the light distribution as spherical, which may help clarify the approach to the problem.

Contextual Notes

There is uncertainty about the assumptions regarding the light source and its distribution, as well as the relevance of the wall in relation to the window. The original poster has sought clarification from an external source, which has influenced the discussion.

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Homework Statement


A lamp producing 1600 lumens is 16" away from a window of 0.015m^2 on a wall 0.14m^2, what is the amount of light through the window.


Homework Equations


lux = lumens/m^2


The Attempt at a Solution


Since there's no material in the window, shouldn't it be the full 1600 lumens seen inside?
 
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bobobano said:

Homework Statement


A lamp producing 1600 lumens is 16" away from a window of 0.015m^2 on a wall 0.14m^2, what is the amount of light through the window.


Homework Equations


lux = lumens/m^2


The Attempt at a Solution


Since there's no material in the window, shouldn't it be the full 1600 lumens seen inside?

Welcome to the PF.

I think the point of the question is that the light source is isotropic, so only a fraction of the total light goes through the area of the window. How can you calculate the fraction of the total area that the window represents (hint -- use the distance to the window for something...)
 
am I correct in thinking that if I multiply the lux over the area, from the lamp to the window, by the window's area I'll get the lumens through the window?

Light through window = (light from lamp)/(pi*distance2)*(window surface area)
 
bobobano said:
am I correct in thinking that if I multiply the lux over the area, from the lamp to the window, by the window's area I'll get the lumens through the window?

Light through window = (light from lamp)/(pi*distance2)*(window surface area)

It is some area ratio, but on re-reading the question, maybe the light source is not isotropic? They mention a wall and a window, so I'm not sure whether to ratio the area of the window to the wall or to an isotropic sphere. Is there a picture that goes with the question, or else are you able to understand the question well enough to answer it now?
 
I dropped him an e-mail and he says to consider it as a sphere.
 
bobobano said:
I dropped him an e-mail and he says to consider it as a sphere.

Okay, so you know what to ratio then?
 
yea.
 

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