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Консультация № 170007
29.06.2009, 19:35
0.00 руб.
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1
Доброго времени суток! Помогите пожалуйста решить пару вот таких задач:
1) Вычислить температурный коэффициент сопротивления для чистого германия, если ширина запрещенной зоны [$916$]E=0,75 эВ. Температура Т=300 К.
2)Металл находится при температуре Т= 0 К. Определить, во сколько раз число электронов с кинетической энергией от [$958$]f\2 до [$958$]f больше числа электронов с энергией от 0 до [$958$]f\2.
Вопрос актуален 1 неделю с момента публикации.
Заранее спасибо.
1) Вычислить температурный коэффициент сопротивления для чистого германия, если ширина запрещенной зоны [$916$]E=0,75 эВ. Температура Т=300 К.
2)Металл находится при температуре Т= 0 К. Определить, во сколько раз число электронов с кинетической энергией от [$958$]f\2 до [$958$]f больше числа электронов с энергией от 0 до [$958$]f\2.
Вопрос актуален 1 неделю с момента публикации.
Заранее спасибо.
Обсуждение
Неизвестный
30.06.2009, 10:03
общий
это ответ
Здравствуйте, Smoke123.
Сопротивление полупроводника зависит от температуры следующим образом:
R=R0*exp(ΔE/kT).
Температурный коэффициент сопротивления определяется из формулы ΔR/R=a*ΔT. Или a=(1/R)*(ΔR/ΔT).
Tак как ищем температурный коэффициент вблизи 300 K, обозначим за R сопротивление полупроводника при 300 К, T =300К.
Найдем сопротивление R при температуре T1=T+ΔT, считая ΔT малым по сравнению с T
R1/R=exp[ΔE*(1/kT1-1/kT)]=exp[-ΔE*k*ΔT/{(kT)*(k*(T+ΔT))}]=exp[-ΔE*k*ΔT/(kT)^2]
Раскладываем в ряд по ΔT
R1/R=1-ΔE*k*ΔT/(kT)^2.
R1=R-R*ΔE*k*ΔT/(kT)^2
ΔR=R1-R=-R*ΔE*k*ΔT/(kT)^2
a=(1/R)*(ΔR/ΔT)=-k*ΔE/(kT)^2=-(ΔE/kT)*1/T
a=-0,75*1,6*10^(-19)/[1,38*10^(-23)*300]*1/300=-0.1 (1/K)
2. Во второй задаче ξf -энергия Ферми?
Сопротивление полупроводника зависит от температуры следующим образом:
R=R0*exp(ΔE/kT).
Температурный коэффициент сопротивления определяется из формулы ΔR/R=a*ΔT. Или a=(1/R)*(ΔR/ΔT).
Tак как ищем температурный коэффициент вблизи 300 K, обозначим за R сопротивление полупроводника при 300 К, T =300К.
Найдем сопротивление R при температуре T1=T+ΔT, считая ΔT малым по сравнению с T
R1/R=exp[ΔE*(1/kT1-1/kT)]=exp[-ΔE*k*ΔT/{(kT)*(k*(T+ΔT))}]=exp[-ΔE*k*ΔT/(kT)^2]
Раскладываем в ряд по ΔT
R1/R=1-ΔE*k*ΔT/(kT)^2.
R1=R-R*ΔE*k*ΔT/(kT)^2
ΔR=R1-R=-R*ΔE*k*ΔT/(kT)^2
a=(1/R)*(ΔR/ΔT)=-k*ΔE/(kT)^2=-(ΔE/kT)*1/T
a=-0,75*1,6*10^(-19)/[1,38*10^(-23)*300]*1/300=-0.1 (1/K)
2. Во второй задаче ξf -энергия Ферми?
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