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Questions with Solution for Exam 1 - Electronic Materials | EEL 3394, Exams of Electrical and Electronics Engineering

Material Type: Exam; Professor: Saddow; Class: Electronic Materials; Subject: Engineering: Electrical; University: University of South Florida; Term: Spring 2006;

Typology: Exams

2019/2020

Uploaded on 11/25/2020

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EEL 3394 ELECTRONIC MATERIALS Spring 2006
EXAM I Monday, March 6th, 2006
NAME: SS#: ___________________
GENERAL RULES:
This is a CLOSED BOOK, CLOSED NOTES test.
You are allowed to use a handwritten 8 1/2 x 11" FORMULA SHEET (both sides)
You must turn in your formula sheet with the test
Show ALL YOUR WORK on the test.
For PARTIAL CREDIT you must clearly show ALL INTERMEDIATE STEPS. PLAIN
ANSWERS WILL GET NO CREDIT. Answers have to be stated in appropriate boxes if
applicable.
You MUST include UNITS with your answers for FULL credit.
TOTAL POINTS: 100
GOOD LUCK !!!!!!
Question #1: (12pts)
1) (4 pts) What does the Boltzmann distribution describe?
a) The energy needed to activate a certain thermally activated process.
b) The number of particles at a certain energy at a given temperature.
c) The rate at which a thermally activated process can occur.
2) (4 pts) A thermally activated process occurs at a certain rate at room temperature. If
the temperature is increased the process occurs at
a) an exponentially higher rate.
b) an exponentially lower rate
c) a linearily higher rate
d) the same rate.
3) (4 pts) Draw qualitative Boltzmann
distributions for two pieces of metal, one
at T1 and the other at T2 (T1 is larger than
T2). Label the coordinate axes properly.
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EEL 3394 EXAM I ELECTRONIC MATERIALSMonday, (^) March Spring6th, 20062006 NAME: GENERAL RULES: SS#: ___________________ This is a CLOSED BOOK, CLOSED NOTES test. You are allowed You must turn in your formula sheet with the test Show ALL YOUR WORK on the test. to use a handwritten 8 1/2 x 11" FORMULA SHEET (both sides) For PARTIAL CREDIT you must clearly show ALL INTERMEDIATE STEPS. PLAIN ANSWERS WILL GET NO CREDIT. applicable. You MUST include UNITS with your answers for FULL credit. Answers have to be stated in appropriate boxes if TOTAL POINTS: 100 Question #1: (12pts) GOOD LUCK !!!!!!

  1. (4 pts) What does the Boltzmann distribution describe? a) b) (^) The energy needed to activate a The number of particles at a certain energy at a given temperature. certain thermally activated process.
  2. (4 pts) A thermally activated process occurs at a certain rate at room temperature. If the temperature is increased the process occurs at^ c)^ The rate at which a thermally activated process can occur. a) b) c) d) (^) an exponentially higher rate. an exponentially lower ratea linearily higher ratethe same rate.
  3. (4 pts) Draw distributions for two pieces of metal, one at T T 2 ). Label the coordinate axes properly. 1 and the other at T qualitative 2 (T 1 is larger than Boltzmann

Question #2: (12 pts) Find the Miller indices of the shaded crystal planes drawn in the unit cells below:

x^ y

z a/

x^ y

x z y

z

c)

a)

b)

x^ y

d)^ z

Solution a) 210 Solution b) 111 Solution c) 100 Solution d) 101

Question #4 (16 pts): Conductivity in Metals a) (6 pts) The electron drift mobility in Ag is 56 cm free time between collisions for electrons in Ag at 27 C? (^2) V- (^1) s- (^1) at 27 C. What is the average

b) velocity under these conditions. (4 pts) 80 V DC are applied to a 1 m long Ag cable. Calculate the electron drift

c) (6 pts) What is the conductivity of Ag at 200 C? The atomic mass and density of Ag are given as 107.87 g mol contributes one electron to the electron gas. (hint: One mole equals 6.02 x 10- (^1) and 10.50 g cm- (^3) , respectively. Assume that each Ag atom (^23) atoms)

Solution a) Solution b) Solution c)

Question #5: (10 pts) a) b) (2 pts) Which experiment demonstrates the wave nature of electrons?(8 pts) Draw a schematic of the experimental set-up.

Question #7: (15 pts) a) (6 pts) What would be the width “a” of a one to produce an electron ground state of 1.0 eV?-dimensional infinite potential well A=h/sqrt(8mE) A=6.626E A=6.626E--34 J34 Js / sqrt(89.11Es / sqrt(89.11E--31 kg * 1 eV)31 kg * 1 * 1.602E-19 CV) A=6.626E A=6.626E A=0.61E-9 m--34 Js / sqrt(89.111.602E34 Js / sqrt(116.75E-50 kg CV)-50 kg CV)

b) (3 pts) What would be the ground state energy E would be the situation of a free particle)? 1 if “a” became infinite (which c) (2 pts) If “a” becomes infinite, what happens to the spacing between the energy levels, your first sentence. ∆E=En+1-En? Write one sentence max. If you write more we will grade The spacin d) (4 pts) Consider a potential well of 10 nm width. At what position(s) would theg goes towards zero, i.e the levels form a continuum At 2.5 nm and 7.5 nm.^ electron most likely be if it were on the first excited energy level, E^ origin of the x-axis is at the position of the left well boundary.^2? Assume the

Solution a) a= 6.1 Å Solution b) E 1 =0 eV