(4.4) In eqn 4.11, we neglected the next term in the Tay- lor expansion which is d? In 2 (4.36) dE? Show that this term equals 2 dT kgT² dE' and hence show that it can be neglected compared to the first two terms if the reservoir is large. (Hint: how much should the temperature of the reservoir change when you change its energy by of order e?) (4.37) a2(E – e) = In 2(E) - (4.11) kBT

(4.4) In eqn 4.11, we neglected the next term in the Tay- lor expansion which is d? In 2 (4.36) dE? Show that this term equals 2 dT kgT² dE' and hence show that it can be neglected compared to the first two terms if the reservoir is large. (Hint: how much should the temperature of the reservoir change when you change its energy by of order e?) (4.37) a2(E – e) = In 2(E) - (4.11) kBT

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

4-4 ) please Solve All of it .

(4.4) In eqn 4.11, we neglected the next term in the Tay-
lor expansion which is
d? In 2
(4.36)
dE?
Show that this term equals
2 dT
(4.37)
kgT? dE'
and hence show that it can be neglected compared
to the first two terms if the reservoir is large. (Hint:
how much should the temperature of the reservoir
change when you change its energy by of order e?)
In 2(E – e) = In 2(E) -
kBT
(4.11)
|

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