Maple Help with a loglogplot in maple please

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The discussion revolves around creating a log-log plot of Planck's Law using Maple software for a physics homework assignment. The user initially encounters an empty plot error when attempting to execute the loglogplot function. Key issues identified include incorrect constants, specifically Boltzmann's constant, which was mistakenly set to 10^23 instead of the correct value of 10^-23. This error significantly impacts the calculations, leading to an invalid denominator in the function. After correcting the constant, the user receives confirmation that the issue is resolved, allowing for successful plotting.
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Help with a loglogplot in maple please!

Hi all,

I have some physics homework that I'm trying to finish tonight. I have it all done and everything, and now all i have to do is make a plot. I'm trying to do a loglogplot of Planck's Law. Here's my code:


with(plots);

c:=2.998*10^8;
k:=1.381*10^(23);
h:=6.626*10^(-34);
t:=4500;

Plancks_Law:=x->(8*Pi*h/(c^3))*(x^3/(exp(h*x/(k*t))-1));



and all I'm doing to try to plot is, loglogplot(Plancks_Law(x),x=1..10000);

I don't care what the domain is, but anything i try gives me an empty plot error. Any suggestions??

Thanks
 
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I think you have some constants wrong.
When I evaluate h / (k t) with your numbers, I get something like 10-60 while it should be like 10-14.
As a consequence, unless you take x = 1060, your exponential will be very close to 1, so your denominator becomes 1 - 1 = 0.

Follow-up: try k:=1.381*10^(-23) instead of k:=1.381*10^(23).
 


genius! I had boltzmann's constant to be of order 10^23, not 10^-23. Thanks a ton!
 

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