3.15 - Problem Set 1 Solutions
2.
a. (i)
(ii)
b.
Eg
2kT
For Si: ni = 101 cm-3, Eg = 1.12eV
ni =
Therefore:
For Ge: ni
Nc Nv exp
Nc Nv
= 101 exp(1.12/2 0.0258)
= 2.167 1019 cm 3
= 2.167 1019 exp (0.67/2 0.0258)
= 6.1 1013 cm 3
This is 6000 times larger bec
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
2.710 Optics
Problem Set #3
Spring 09
Posted Feb. 23, 2009 Due Wednesday, March 4, 2009
1. Wandas world Your goldsh Wanda happens to be situated at the center of
her spherical waterworld. At the same time, your friend
3 185 Test 2
Advanced Heat Transfer Fluid Dynamics
Solutions
1. Write your name on all of your answer booklets
Congratulations! Everyone got this right. If only that were true of #2.
2. Aaliyah was obviously: (b) A pop/R&B singer who lost her life at an e
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
2.710 Optics
Problem Set #2
Spring 09
Posted Feb. 17, 2009 Due Wednesday, Feb. 25, 2009
1. Wiper speed control Design an optical system which can detect the amount
of water present on a cars windshield (see the schema
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
DepartmentofElectricalEngineeringandComputerScience
6.013 Electromagnetics and Applications
Problem Set 11 (five problems)
Suggested Reading:
Coursenotes,Sections10.3.310.3.4; 4.2,10.4.2,10.4.5,
11.3.111.3.3; 11.1; 10
Welcome to the second 3.185 test of Fall 2003. Do not open this until you are told to begin.
0 This is a 50minute, inclass, closednotes, closed book test, and you may not consult others during it,
though you may use a calculator.
0 You are expected to kno
Problem Set 11 Solutions
Problem 11.0
The easiest way to approach this problem is to pretend that the roof antennas are transmitting to an antenna
at the horizon. Then for each antenna orientation, we can nd the image antenna and the distance from the
roo
Thermodynamics. (2 problems, 50 points total).
1. (20 points total) Analyzing an isothermal process. Consider the process described
schematically below. One mole of an ideal gas is confined in a rigid cylinder in a volume of 1
L by a movable frictionless
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
2.710 Optics
Solutions to Problem Set #3
Spring 09
Due Wednesday, March 4, 2009
Problem 1: Wandas world
a) The geometry for this problem is shown in Figure 1. For part (a), the object
(Wanda) is located inside the bow
3.052 Nanomechanics of Materials and Biomaterials
Assignment #6 Due 05.11.07
3.052 Nanomechanics of Materials and Biomaterials: Spring 2007
Assignment #6
Due Date: Friday 05.11.07
You are encouraged to use additional resources (e.g. journal papers, intern
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
2.710 Optics
Solutions to Problem Set #2
Spring 09
Due Wednesday, Feb. 25, 2009
Problem 1: Wiper speed control
Figure 1 shows an example of an optical system designed to detect the amount of
water present on the winds
3.15 Electrical, Optical, and Magnetic Materials and Devices
Caroline A. Ross
Fall Term, 2006
Problem Set #1
Semiconductor Fundamentals
Due Monday, September 18, 2005
Reference: Chapters 1-3 of Pierret.
1. Review of 3.024. Write a brief (1 line) definitio