Physical electronics devices and ics miscellaneous
- For a particular semiconductor material following parameters are observed—
µa = 1000 cm2/ V-s,
µp = 600 cm2/ V-s,
Nc = Nv = 1019 cm–3
These parameters are independent of temperature. The measured conductivity of the intrinsic material is σ = 10–6 (Ω - cm)– 1 at T = 300 K. The conductivity at T = 500 K is—
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Given data, µn = 1000 cm2/ V-s
µP = 600 cm2/ V-s
Nc = NV = 1019 cm–3
Conductivity, σ = 10–6 (Ω-cm)–1 at temp, T = 300 K,
Let the conductivity at T = 500 K is σ′
Now, σ′ = 9 n′1 (µn + µp), at T = 300 K
10–6 = 1.6 × 10–19. ni (1000 + 600)
or ni = 3.9 × 109 cm–3
Now calculate new n′1
ni 2 = Ni. NV. e– (Eg/ kT)where Eg = kT In NCNV ni 2 = 26 × 10–3 In 1019 · 1019 (3.91 × 109) 2
= 1.122 eVat T = 500 K ⇒ kT = 26 × 10–3 500 = 0.432 eV 300
Now, n′ 2 i = 1019.1019. e (1.122 / 0.432) = 2.29 × 1013 cm–3
σ′ = q n′i (µn + µp)
= 1.6 × 10–19 × 2.29 × 1013 (1000 + 600)
= 5.86 × 10–3 (Ω-cm)–1
Hence alternative (D) is the correct choice.Correct Option: D
Given data, µn = 1000 cm2/ V-s
µP = 600 cm2/ V-s
Nc = NV = 1019 cm–3
Conductivity, σ = 10–6 (Ω-cm)–1 at temp, T = 300 K,
Let the conductivity at T = 500 K is σ′
Now, σ′ = 9 n′1 (µn + µp), at T = 300 K
10–6 = 1.6 × 10–19. ni (1000 + 600)
or ni = 3.9 × 109 cm–3
Now calculate new n′1
ni 2 = Ni. NV. e– (Eg/ kT)where Eg = kT In NCNV ni 2 = 26 × 10–3 In 1019 · 1019 (3.91 × 109) 2
= 1.122 eVat T = 500 K ⇒ kT = 26 × 10–3 500 = 0.432 eV 300
Now, n′ 2 i = 1019.1019. e (1.122 / 0.432) = 2.29 × 1013 cm–3
σ′ = q n′i (µn + µp)
= 1.6 × 10–19 × 2.29 × 1013 (1000 + 600)
= 5.86 × 10–3 (Ω-cm)–1
Hence alternative (D) is the correct choice.
- Six volt is applied across a 2 cm long semiconductor bar. The average drift velocity is 104 cm/s. The electron mobility is—
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Given L = 2 cm, vd = 104 cm/s, V = 6 volt. drift velocity = µn. E
vd = µn. V L 104 = µn. 6 2 or µn = 104 = 3333 cm2/ V-s 3 Correct Option: D
Given L = 2 cm, vd = 104 cm/s, V = 6 volt. drift velocity = µn. E
vd = µn. V L 104 = µn. 6 2 or µn = 104 = 3333 cm2/ V-s 3
- A silicon sample doped n-type at 1018 cm–3 have a resistance of 10 Ω. The sample has an area of 10–6 cm2 and a length of 10 µm. The doping efficiency of the sample is (µa = 800 cm2/ V – s)—
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Given data,
Nd = 1018
R = 10 Ω
A = 10–6 cm2
L = 10 mm = 10 × 10–4 cm,
µn = 800 cm2/ V–s
% doping efficiency = n0 Nd × 100 =?Now, n0 = L q·µn·A·R = 10 × 10–4 1.6 × 10–19 × 800 × 10–6 × 10
= 7.81 × 1017 cm–3% doping efficiency = 7.81 × 1017 × 100 = 78.1% 1 × 1018
Hence alternative (B) is the correct choice.Correct Option: B
Given data,
Nd = 1018
R = 10 Ω
A = 10–6 cm2
L = 10 mm = 10 × 10–4 cm,
µn = 800 cm2/ V–s
% doping efficiency = n0 Nd × 100 =?Now, n0 = L q·µn·A·R = 10 × 10–4 1.6 × 10–19 × 800 × 10–6 × 10
= 7.81 × 1017 cm–3% doping efficiency = 7.81 × 1017 × 100 = 78.1% 1 × 1018
Hence alternative (B) is the correct choice.
- A thin film resistor is to be made from a GaAs film doped n-type. The resistor is to have a value of 2 kΩ. The resistor length is to be 200 µm and area is to be 10–6 cm2. The doping efficiency is known to be 90%. The mobility of electrons is 8000 cm2/ V–s. The doping needed is—
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Given data, R = 2 kΩ = 2000 Ω
L = 200 µm = 200 × 10–4 cm
A = 10–6 cm2
n0 = .9 Nd
Now from relationR = L ⇒ n0 L n0q·µnA RqµnA .9 Nd = 20 × 10–4 2000 × 1.6 × 10–19 × 8000 × 10–6
or Nd = 8.7 × 1015 cm–3
Hence alternative (A) is the correct choice.Correct Option: A
Given data, R = 2 kΩ = 2000 Ω
L = 200 µm = 200 × 10–4 cm
A = 10–6 cm2
n0 = .9 Nd
Now from relationR = L ⇒ n0 L n0q·µnA RqµnA .9 Nd = 20 × 10–4 2000 × 1.6 × 10–19 × 8000 × 10–6
or Nd = 8.7 × 1015 cm–3
Hence alternative (A) is the correct choice.
- The cross sectional area of silicon bar is 100 µm2. The length of bar is 1 mm. The bar is doped with arsenic atoms. The resistance of bar is—
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Given data,
A = 100 × 10–8 cm2
L = 1 mm = 10–1 cm
µn (for arsenic atom) = 1100
Nd >> ni ÷ n0 = Nd = 5 × 1016 cm–3
Now,R = L = L QσA n0q·µn·A = 10–1 5 × 1010 × 1.6 × 10–19 × 1100 × 100 × 10–8
≅ 11.36 kΩCorrect Option: B
Given data,
A = 100 × 10–8 cm2
L = 1 mm = 10–1 cm
µn (for arsenic atom) = 1100
Nd >> ni ÷ n0 = Nd = 5 × 1016 cm–3
Now,R = L = L QσA n0q·µn·A = 10–1 5 × 1010 × 1.6 × 10–19 × 1100 × 100 × 10–8
≅ 11.36 kΩ