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(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
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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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) |
Transcribed Image Text:(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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