Dealing with an exponentially debilitating problem

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Homework Help Overview

The discussion revolves around an equation related to Planck's law, specifically focusing on the right-hand side expression involving an exponential function and a polynomial term in terms of the variable v.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to simplify the expression v(cubed)/exp(v)-1 and expresses a hope that it simplifies to v^2. Other participants inquire about the specific expression being analyzed and the context of the equation, seeking clarification on the original problem.

Discussion Status

Participants are actively clarifying the components of the equation and the context of Planck's law. There is a focus on understanding the right-hand side of the equation, with some guidance offered regarding the exponential term. The discussion is ongoing, with no clear consensus reached yet.

Contextual Notes

There are indications of potential confusion regarding the equation's components, particularly the relationship between the left-hand side and right-hand side, as well as the specific terms involved in the expression.

redbaldyhead
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I can't resolve v(cubed)/exp(v)-1
which is the RHS of an equation that has been sorted out of the left!
I am rather hoping that this becomes v(cubed)/v which simplifies to v^2.

Thanks
 
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What are you trying to express, and what are you trying to find? Are you starting with this:

\[<br /> \frac{{v^3 }}{{e^v }} - 1<br /> \]<br />
 
Sorry for the delay in responding!
No it is the RHS of Planck's equation for B(v)T
The LHS as I have reduced it to =Bc^2/2H
 
Actually =Bc^2 exp(h.kT)/2h

I think I correctly calculated the exp(h/kT) bit but I just can't figure out the rest of the equation on the RHS
Thanks for looking
 

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