Semiconductor problem - Rearranging terms.

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SUMMARY

The discussion centers on determining the constant of proportionality, beta, for a semiconductor. Participants express confusion regarding the transition from line 2 to line 3 in the solution, specifically the disappearance of the squared exponential term. It is clarified that the expression simplifies to exp(k) times exp(-k), which equals one, resolving the confusion about the squared exponential. The conversation emphasizes the importance of understanding exponential properties in semiconductor equations.

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rwooduk
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Homework Statement


Determine values for beta the constant of proportionality for a semiconductor.

Homework Equations


Given below.

The Attempt at a Solution



6zRv3V1.jpg


I
m struggling with line 2 to line 3 of the solution. The problem I'm having is I can't see where the squared exponential term has gone. I've tried multiplying out beta and collecting terms in terms of the exponential term, but I'm stuck with the squared expontntial term that would be there. Any ideas on what he has done would really help at this point.
 
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I don't see any squared exponential. I see exp(k) times exp(-k) which is one.
 
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RUber said:
I don't see any squared exponential. I see exp(k) times exp(-k) which is one.
Good point. Dont know what I was thinking, thanks very much for your help!
 

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