From (4):
and integrating dn from 0 to n
dI from 0 to I
gives (1).
Hi there,
I'm new here so I'm not sure if this is in the best section, but here goes...
I'm trying to establish how a formula (relating the carrier lifetime in a semiconductor active region with the injected current) from a paper I have read has been derived. The formula is:
(1)
where n is the carrier density, q is the elementary charge, V is the volume of the semiconductor active area.
From another source (textbook) I have:
(2)
where
(3)
and also the injected current I is related to n as follows:
(4)
I have a complete mental block on how whether I can derive the first equation from the following three - any help would be appreciated!
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Also, in the textbook, it uses equations 2,3 and 4 above to define the relationship between and I as being:
(5)
I just keep going round in circles when I try to derive this from equations 2,3 and 4
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Any help in how to derive (1) or (5) would be appreciated! I realise that this is a 'physicsy" type question being asked on a math forum, but I hope someone can give me some pointers. Cheers!