The following results were obtained from an experiment
Voltage/V Current/mA
12 35
10 25
8 20
6 15
4 12
2 10

How would you calculate V^10 so that you can plot a linear graph of current against V^10?

Question

The following results were obtained from an experiment
Voltage/V       Current/mA
12                        35
10                        25
8                          20
6                          15
4                          12
2                          10

How would you calculate V^10 so that you can plot a linear graph of current against V^10?

osprey · Answer

Enclosed - YELLOW - is a possibility. Log10 I vs V ? Wonky, and not very straight. But have a look, see what you think. Is the data from an experiment or from a book, I wonder. I'm wondering what sort of component it is, possibly a bulb ? There could be a 3/2 power law here ... bon chance et bon voyage http://perendis.webs.com

irishboy123 · Answer

@osprey 

had a play with your spread sheet

so this is your work with the Excel-generated linear approx

and it looks surprisingly good


|dw:1475427750902:dw|


doing it the other way, ie just asking the software for a few best fits does this

|dw:1475427837844:dw|


the $R^2$ 's on the logs look more than coincidental .... needs someone that can be arsed to flip some log bases.  Not me, I'm afraid :-/

osprey · Answer

@IrishBoy123 Reason I did what I did was that from the way the question was broached in a way suggested that a "first approx" would do. I thought about digging a book out on series expansions, but .... well ... as it stands probably not. I think that your use of a biology term sort of sums it up. Unless of course the questioner comes back with more "interesting" information.
Happy shamrocks.

irishboy123 · Answer

LOL!!

osprey · Answer

=)