Foundations of Materials Science and Engineering
Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 14.12, Problem 82AAP
To determine

The intrinsic electrical conductivity of InSb at 60°C.

The intrinsic electrical conductivity of InSb at 70°C.

Expert Solution & Answer
Check Mark

Answer to Problem 82AAP

The intrinsic electrical conductivity of InSb at 60°C is 2.41×104Ω1m1.

The intrinsic electrical conductivity of InSb at 70°C is 2.62×104Ω1m1.

Explanation of Solution

Write the expression for the conductivity of InSb at 300K.

    σ300K=niq(μn+μp)                                                  (I)

Here, the intrinsic carrier is ni, the charge is q, the mobility of the electron is μn and the mobility of the hole is μp.

Convert the temperature from degree Celsius to Kelvin.

    0°C+273=273K60°C+273=333K

Convert the temperature from degree Celsius to Kelvin.

    (0°C+273)K=273K

    (70°C+273)K=343K

Write the expression for the conductivity of InSb at 333K.

    σ333K=σ300Ke(Eg2kT300K)e(Eg2kT333K)                                               (II)

Here, the Boltzmann constant is k and the band energy gap is Eg.

Write the expression for the conductivity of InSb at 343K.

    σ343K=σ300Ke(Eg2kT300K)e(Eg2kT343K)                                              (III)

Conclusion:

Here, the charge is 1.6×1019C and the Boltzmann constant is 8.62×105eV/K.

Substitute 1.6×1019C for q, 1.35×1022m3 for ni, 8.00m2/Vs for μn and 0.045m2/Vs for μp in Equation (II).

    σ300K=(1.35×1022m3)(1.6×1019C)(8.00m2/Vs+0.045m2/Vs)=(2160Cm3)(8.045m2/Vs)(1As1C)(1V/A1Ω)=1.7377×104Ω1m11.74×104Ω1m1

Substitute 1.74×104Ω1m1 for σ300K, 0.17eV for Eg, 8.62×105eV/K for k, 333K for T333K and 300K for T300K in Equation (II).

    σ343K=(1.74×104Ω1m1)e(0.17eV2(8.62×105eV/K)300K)e(0.17eV2(8.62×105eV/K)333K)=(1.74×104Ω1m1)e(3.2869)e(2.9611)=(1.74×104Ω1m1)0.037360.05175=2.41×104Ω1m1

Substitute 1.74×104Ω1m1 for σ300K, 0.17eV for Eg, 8.62×105eV/K for k, 343K for T343K and 300K for T300K in Equation (III).

    σ343K=(1.74×104Ω1m1)e(0.17eV2(8.62×105eV/K)300K)e(0.17eV2(8.62×105eV/K)343K)=(1.74×104Ω1m1)e(3.2869)e(2.87)=(1.74×104Ω1m1)0.037360.05642=2.62×104Ω1m1

Thus, the intrinsic electrical conductivity of InSb at 60°C is 2.41×104Ω1m1.

Thus, the intrinsic electrical conductivity of InSb at 70°C is 2.62×104Ω1m1.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Continuity equation A y x dx D T معادلة الاستمرارية Ly X Q/Prove that ди хе + ♥+ ㅇ? he me ze ོ༞“༠ ?
Q Derive (continuity equation)? I want to derive clear mathematics.
motor supplies 200 kW at 6 Hz to flange A of the shaft shown in Figure. Gear B transfers 125 W of power to operating machinery in the factory, and the remaining power in the shaft is mansferred by gear D. Shafts (1) and (2) are solid aluminum (G = 28 GPa) shafts that have the same diameter and an allowable shear stress of t= 40 MPa. Shaft (3) is a solid steel (G = 80 GPa) shaft with an allowable shear stress of t = 55 MPa. Determine: a) the minimum permissible diameter for aluminum shafts (1) and (2) b) the minimum permissible diameter for steel shaft (3). c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).

Chapter 14 Solutions

Foundations of Materials Science and Engineering

Ch. 14.12 - Prob. 11KCPCh. 14.12 - Prob. 12KCPCh. 14.12 - Prob. 13KCPCh. 14.12 - Prob. 14KCPCh. 14.12 - Prob. 15KCPCh. 14.12 - Prob. 16KCPCh. 14.12 - Prob. 17KCPCh. 14.12 - Prob. 18KCPCh. 14.12 - Prob. 19KCPCh. 14.12 - Prob. 20KCPCh. 14.12 - Prob. 21KCPCh. 14.12 - Prob. 22KCPCh. 14.12 - Prob. 23KCPCh. 14.12 - Prob. 24KCPCh. 14.12 - Prob. 25KCPCh. 14.12 - Prob. 26KCPCh. 14.12 - Prob. 27KCPCh. 14.12 - Describe the movement of the majority and minority...Ch. 14.12 - Prob. 29KCPCh. 14.12 - Prob. 30KCPCh. 14.12 - What is a zener diode? How does this device...Ch. 14.12 - Prob. 32KCPCh. 14.12 - Prob. 33KCPCh. 14.12 - Prob. 34KCPCh. 14.12 - Prob. 35KCPCh. 14.12 - Describe how the planar bipolar transistor can...Ch. 14.12 - Prob. 37KCPCh. 14.12 - Prob. 38KCPCh. 14.12 - Prob. 39KCPCh. 14.12 - Prob. 40KCPCh. 14.12 - Prob. 41KCPCh. 14.12 - Prob. 42KCPCh. 14.12 - Prob. 43KCPCh. 14.12 - Prob. 44KCPCh. 14.12 - Prob. 45KCPCh. 14.12 - Prob. 46KCPCh. 14.12 - Prob. 47KCPCh. 14.12 - Prob. 48KCPCh. 14.12 - Prob. 49KCPCh. 14.12 - Prob. 50KCPCh. 14.12 - Prob. 51KCPCh. 14.12 - Prob. 52KCPCh. 14.12 - Prob. 53KCPCh. 14.12 - What are ferroelectric domains? How can they be...Ch. 14.12 - Prob. 55KCPCh. 14.12 - Prob. 56KCPCh. 14.12 - What are the PZT piezoelectric materials? In what...Ch. 14.12 - Prob. 58AAPCh. 14.12 - Prob. 59AAPCh. 14.12 - Prob. 60AAPCh. 14.12 - Prob. 61AAPCh. 14.12 - Prob. 62AAPCh. 14.12 - Prob. 63AAPCh. 14.12 - Prob. 64AAPCh. 14.12 - Prob. 65AAPCh. 14.12 - Prob. 66AAPCh. 14.12 - Prob. 67AAPCh. 14.12 - Prob. 68AAPCh. 14.12 - Prob. 69AAPCh. 14.12 - Prob. 70AAPCh. 14.12 - Phosphorus is added to make an n-type silicon...Ch. 14.12 - Prob. 72AAPCh. 14.12 - A silicon wafer is doped with 2.50 1016 boron...Ch. 14.12 - A silicon wafer is doped with 2.50 1015...Ch. 14.12 - Prob. 75AAPCh. 14.12 - Prob. 76AAPCh. 14.12 - Prob. 77AAPCh. 14.12 - What fabrication techniques are used to encourage...Ch. 14.12 - Prob. 79AAPCh. 14.12 - Prob. 80AAPCh. 14.12 - Calculate the intrinsic electrical conductivity of...Ch. 14.12 - Prob. 82AAPCh. 14.12 - Prob. 83AAPCh. 14.12 - Prob. 85AAPCh. 14.12 - Prob. 86AAPCh. 14.12 - Prob. 87AAPCh. 14.12 - Prob. 88AAPCh. 14.12 - Prob. 89AAPCh. 14.12 - Prob. 90AAPCh. 14.12 - Prob. 91AAPCh. 14.12 - Prob. 92SEPCh. 14.12 - Prob. 93SEPCh. 14.12 - Design a p-type semiconductor based on Si that...Ch. 14.12 - Prob. 95SEPCh. 14.12 - Prob. 96SEPCh. 14.12 - Prob. 97SEPCh. 14.12 - Prob. 98SEPCh. 14.12 - Prob. 99SEPCh. 14.12 - Prob. 100SEP
Knowledge Booster
Background pattern image
Mechanical Engineering
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Understanding Motor Controls
Mechanical Engineering
ISBN:9781337798686
Author:Stephen L. Herman
Publisher:Delmar Cengage Learning
Dislocations and Plastic Deformation; Author: LearnChemE;https://www.youtube.com/watch?v=cpvTwYAUeA8;License: Standard Youtube License