Calculating Solar Panel Power Output: Shortfall by Factor of 1000

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Discussion Overview

The discussion revolves around calculating the power output of solar panels when used indoors, specifically addressing the concept of a shortfall in power generation due to reduced efficiency. Participants are exploring the implications of a specified reduction factor of 1000 and how to apply it in calculations.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant calculates the power output at AM1.5 as 73 mW cm-2 and attempts to determine the shortfall when used indoors by dividing this value by 1000.
  • Another participant suggests that if the shortfall means a decrease of 1/10, it could be calculated by multiplying by 0.9, while a decrease of 1/1000 would involve multiplying by 0.999.
  • There is confusion regarding the interpretation of "a factor of 1000," with some participants questioning whether it refers to a reduction by one part in 1000 or to one part in 1000.
  • One participant expresses uncertainty about how to arrive at the value of 0.999, indicating a need for clarification on the mathematical reasoning behind the calculations.
  • Another participant points out the ambiguity in the phrasing of the problem, suggesting that "a factor of 1/1000" would be a clearer expression.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the interpretation of the reduction factor or the correct method for calculating the shortfall. Multiple competing views remain regarding the application of the factor in the calculations.

Contextual Notes

The discussion highlights potential ambiguities in the phrasing of the problem and the mathematical steps involved in interpreting the reduction factor. There are unresolved questions about the assumptions underlying the calculations.

Tevion
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Im trying to get to grips with factors? and want to check my methodology, so:

It all about solar panels..I've calculated how much power the cell will produced @ AM1.5 this is 73 mW cm-2 .

Now my question is, i have to calculate the short fall by a factor of 1000 due when its used indoors for example. So am i right saying:

73 mW cm^-2
/ 1000

= 7.3^-3 mW cm^-2

- 73 mW cm^-2

= 65.7 mW cm^-2 (is this the shortfall answer)

Any help would be appreciated. and if you have any subsequent Q's, il try and answer them
 
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i can't believe nobody can help!
 
Welcome to PF!

Hi Tevion! Welcome to PF! :smile:

If by shortfall you mean a decrease of 1/10, or 0.1, it's probably easier, instead of multiplying by that factor and then subtracting, to multiply by (1 - the factor), in this case (1 - 0.1), = 0.9.

So, having worked out the factor, just say:

73 mW cm-2 x 0.9 = 65.7 mW cm-2.​

Or if you mean a decrease of 1/1000, or .001, it's

73 mW cm-2 x 0.999 = 72.927 mW cm-2. :smile:
 
So can you clarify how to deduce

7.3^-3 mW cm^-2

by a factor of 1000.

Thanks Tim
 
Hi Tevion! :smile:

I'm honestly not sure what you mean.

Do you mean reducing it by one part in 1000, or to one part in 1000?

You were orignally talking about the efficicency of solar panels indoors, and a reduction of 1/1000 seems far too small, while a reduction to 1/1000 seems far too large. :confused:

Anyway, starting with 7.3, a reduction by 1/1000 would be 7.2927 (or 7.29 approx), while a reduction to 1/1000 would be .0073. :smile:

What is it about factors that's worrying you? :smile:
 
Hi Tevion! :smile:

Thanks for the PM.
Tevion said:
"When used indoors, the avaiable power (73 mW cm-2 .) from a solarcell maybe reduced by a factor of 1000. Calculate the shortfall in power generation needed for the calculator if the power output of the solar panel is reduced by this amount."

What do you make of that?

Well, it seems a slightly strange way of putting it (I would say "a factor of 1/1000", not "a factor of 1000" :frown: ) … but I'd say they mean 0.999 x 73. :smile:
 
I still don't quite understand it, how did you arrive @ the 0.999?

Im about to send you a PM :)
 
Tevion said:
I still don't quite understand it, how did you arrive @ the 0.999

1 - 1/1000. :smile:

(oh please don't send me PMs … I never answer them! :smile:)
 

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