Charge carrier concentration in doped semiconductor: compensation n = Na - Na Na - Na >> ni n-type p = n₁²/n 2 if N₂ >> N₁, n = N₁_ and _p=n² / Na d p = Na-Nd p-type Na-Na >> n₁ d 2 n = n₁₂²/p 2 if N₁ >> N₁, p = N₁ and n = n² / Na a n-type Dopant compensation: Examples d n = Na-N₁ = 4×10¹ cm¯ -3 ++++++ n = 4×1016 cm-³ N=6×1016 cm-3 p=n/n=1020/4×1016 = 2.5×10³ cm p-type -3 p=Na-N₁ =8×10 −6×1016 = 2×10¹6 cm³ n=n²/p=1020/2×101 =5×10³ cm³ N2×1016 cm³ ++++++ N=6x1016 cm-3 N = 8×1016 cm-3 p=2×1016 cm³ The resulting charge carrier concentration in compensated semiconductor approximately equals the difference between the donor and acceptor concentrations. Charge carrier concentration in n-type and p-type semiconductors 1. Calculate concentrations of electrons and holes at room temperature in Si containing 2x1017 cm³ of donors and 8x1016 -3 cm³ of acceptors. Assume that Na, Nd >> n;. αν 2. Calculate concentrations of electrons and holes at room temperature in Ge containing 2x10¹7 cm³ of donors and 8x1017 cm³ of acceptors. Assume that Na, Nd >> n;
Charge carrier concentration in doped semiconductor: compensation n = Na - Na Na - Na >> ni n-type p = n₁²/n 2 if N₂ >> N₁, n = N₁_ and _p=n² / Na d p = Na-Nd p-type Na-Na >> n₁ d 2 n = n₁₂²/p 2 if N₁ >> N₁, p = N₁ and n = n² / Na a n-type Dopant compensation: Examples d n = Na-N₁ = 4×10¹ cm¯ -3 ++++++ n = 4×1016 cm-³ N=6×1016 cm-3 p=n/n=1020/4×1016 = 2.5×10³ cm p-type -3 p=Na-N₁ =8×10 −6×1016 = 2×10¹6 cm³ n=n²/p=1020/2×101 =5×10³ cm³ N2×1016 cm³ ++++++ N=6x1016 cm-3 N = 8×1016 cm-3 p=2×1016 cm³ The resulting charge carrier concentration in compensated semiconductor approximately equals the difference between the donor and acceptor concentrations. Charge carrier concentration in n-type and p-type semiconductors 1. Calculate concentrations of electrons and holes at room temperature in Si containing 2x1017 cm³ of donors and 8x1016 -3 cm³ of acceptors. Assume that Na, Nd >> n;. αν 2. Calculate concentrations of electrons and holes at room temperature in Ge containing 2x10¹7 cm³ of donors and 8x1017 cm³ of acceptors. Assume that Na, Nd >> n;
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.2P: The temperature dependence of resistance is also quantified by the relation R2=R1[ 1+(T2T1) ] where...
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Transcribed Image Text:Charge carrier concentration in doped semiconductor:
compensation
n = Na - Na
Na - Na >> ni
n-type
p = n₁²/n
2
if N₂ >> N₁, n = N₁_ and _p=n² / Na
d
p = Na-Nd
p-type
Na-Na >> n₁
d
2
n = n₁₂²/p
2
if N₁ >> N₁, p = N₁ and n = n² / Na
a
n-type
Dopant compensation: Examples
d
n = Na-N₁ = 4×10¹ cm¯
-3
++++++
n = 4×1016 cm-³
N=6×1016 cm-3
p=n/n=1020/4×1016 = 2.5×10³ cm
p-type
-3
p=Na-N₁ =8×10 −6×1016 = 2×10¹6 cm³
n=n²/p=1020/2×101 =5×10³ cm³
N2×1016 cm³
++++++
N=6x1016 cm-3
N = 8×1016 cm-3
p=2×1016 cm³
The resulting charge carrier concentration in compensated semiconductor
approximately equals the difference between the donor and acceptor concentrations.
Charge carrier concentration in n-type and p-type semiconductors
1. Calculate concentrations of electrons and holes at room
temperature in Si containing 2x1017 cm³ of donors and 8x1016
-3
cm³ of acceptors. Assume that Na, Nd >> n;.
αν
2. Calculate concentrations of electrons and holes at room
temperature in Ge containing 2x10¹7 cm³ of donors and 8x1017
cm³ of acceptors. Assume that Na, Nd >> n;
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