Puzzled by Wikipedia exposure units

It says here that:

Camera settings also can be determined from incident-light measurements, for which the exposure equation is

{isplaystyle {rac {N^{2}}{t}}={rac {ES}{C}},}

where:

  • E is the illuminance in lux seconds or lumens/m² seconds
  • C is the incident-light meter calibration constant

As far as I know, illuminance E has units of lux, not lux-sec which is more commonly denoted by H.

So, the question is: where do the extra seconds units come from?

Haters of AI will be pleased to know that ChatGPT was unable to help with that question …

On the left side, the per second term t is cancelled by the light quantity on the right that is your lux second.

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Thanks. Yes, that is mathematically correct even though the SI definition of illuminance does not include time. Based on that, calling “E” illuminance is technically incorrect

Actually the equation balances only if E is lux, not lux-sec:

N^2 / t has units of t^-1 because N is dimensionless

ES / C = lux.ISO/(lux.s.ISO) also has units of t^-1 contained in the constant C which is lx.s.ISO

ergo, Wikipedia’s statement that illuminance is lux-sec is incorrect. I am no longer puzzled … :grinning:

In terms of ISO, ES would represent exposure-time in lux-seconds; on the left, shutter speed.

In Wikipedia’s equation, ES is illuminance times ISO, not exposure-time in lux-seconds.

N^2/t = ES/C … for ISO = 100, N^2/t = E/2.5 …

For N=8 and t=(1/125) E= 20,000 lux (1858 fc) = about 13 EV …

It seems that we talking at cross-purposes.

P.S. just found this later in the same article:

" Illuminance is measured with a flat sensor; a typical value for C is 250 with illuminance in lux."

Ipso Facto.

S and C are time integrated, the units lux seconds per square meter and lux seconds. To me it balances in terms of time.

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At my age, I find it difficult to verify terse one-line responses.

I fold …

be glad it is only about photo exposure…

could be worse like

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Looks like it’s been fixed! (see original post)

Did you do that?

Yes, after some unit analysis to double check… I believe it makes better sense now.

Well done!