Skip to main content
1-Visitor
June 13, 2023
Question

My integration is not converging

  • June 13, 2023
  • 2 replies
  • 2784 views

I am trying to solve this problem for integration however i am facing not convergence issue. Please help me out.

 

Thanks

 

 

2 replies

21-Topaz II
June 13, 2023

Hi,

There are unit inconsistencies in the equations.

Capture.JPG

1-Visitor
June 13, 2023

Thanks a lot, do you mean that dimensionality is not same, although both are energies in the numerator and denominator. So i think same or something is wrong.

 

Thanks

21-Topaz II
June 13, 2023

Hi,

T is not defined in the worksheet.  Change the variable temp to T?

Capture2.JPG

But it still does not converge.

Cheers Terry

25-Diamond I
June 13, 2023

Some Remarks:

Your definition of E.k seems to be wrong as the result possibly should be Energy

Werner_E_0-1686661850158.png

But as you never used it it does not affect the integral

 

For the integral to work you must also apply correct units for the integration limits!. E.g. Joule for the inner one and Hz for the outer one.

If you then set T:=temp (T was interpreted as unit Tesla as it was not defined) and a MUCH lower upper limit for E.k (I used 10^-19 J instead of your 1000) you get a result

I was even able to "push up" the upper limit to as much as 1.137*10^-19 J  😉

Werner_E_1-1686662802907.png

 

Terry had already shown that large values for E.k exceed Primes size limit for numbers (the usual IEEE limit).