UNIVERSITY OF VICTORIA
EXAMINATIONS, DECEMBER 1997
ELEC 220 - ELECTRICAL PROPERTIES OF MATERIALS
SECTION F01
TO BE ANSWERED IN BOOKLETS DATE: December 17, 1997
DURATION: 3 Hours
INSTRUCTOR: Dr. I'LL. Kwok
ANSWER ALL QUESTIONS.
SHOW THE STEPS m YOUR. ANSWE
Last Lecture
Counted electrons using density of states
Fermi-Distribution is probability that an
electron is in a state at higher temperatures.
Todays Lecture Motivation
Previously we thought electrons are free, but
the atomic lattice plays a role
The
ELEC220 Electrical Properties of Materials
Test 2 22 June 2015
1 Side formula sheet and calculators allowed.
Name: _
Student No.:_
1. Write in order the polarization mechanisms in terms of speed of response (fastest to slowest):
dipolar (orientational), f
4-1. From Table 4.1, for NaCl n - (2.25) - 1.5
(a) v- 5x10 Hz (both in air and in NaCl), 03- 21w - 3.14x105 51
A- c/nv - 4.0x10'7 m. k - 23/). - 1.57x107 m", c' - c/n - 2x103 m/s
(b) BOIEo - n/c - 5x109 TmN (s/m)
(c) 90* sin" (1/1.5) - 41.8
(d) From Table
ELEC220 Electrical Properties of Materials
Test 2 - 2 June 2017 Name: [If [WW5
1 Side formula sheet and calculators allowed. Student No.2
1.
What is the maximum value of 82; predicted by Debyes relaxation model? At
what frequency does that occur? What is
ECE220 Electrical Properties of
Materials
Dr. R. Gordon
Professor
Canada Research Chair in
Nanoplasmonics
Agenda
Introductory Matters
Course Outline
Lecture/Reading Schedule
Assigned Problems
Course Motivation
Refresher/Primer Quiz on Complex Number
Test 3
June 2017 Name: 1 2 RM W9
1 Side formula sheet and calculators allowed. Student No.:
1. An electron and a photon traveling in vacuum have the same wavelength, but the energy of the
photon is fty times the energy of the electron. For the electron, h
ELEC220 Electrical Properties of Materials
Test 1 1 June 2015
Non-programmable calculators allowed.
Name: _ Student No.:_
0 8.85 1012 F/m
-6
=0=1.2567 10 H/m
me 9.11 1031 kg c = 3 108 m/s
23
NA= 6.022 10
e 1 . 6 1109C
atoms/mole
1. The ionosphere F band
ASSIGNMENT: ;
3-3. (a) Capacitor with A = 10 cm2 =1x10'3 m2, d = 3 mm = 3x103 m
so C = eoAld = (8.85x10'12)(1x10'3)/(3x10'3) = 2.95x10'12 farads
V = 9 V, so Q= CV = (2.95x1012)(9) = 2.66x1 0'11 coulombs
(b) With a dielectric with a, = 25 inserted, the cha
ELEC220 Electrical Properties of Materials
Test 1 24 May 2017 Name: Wbn
1 Side formula sheet and calculators allowed. Student No.:
1. An aluminum wire with a square cross-section 2 mm on a side" is carrying a current of 1.5 amps.
Aluminum has a resistivit
UNIVERSITY OF VICTORIA
FINAL EXAMINATION AUGUST 2013
ELEC 220 ELECTRICAL PROPERTIES OF MATERIALS
SECTION A01 / CRN 30249
NAME:
INSTRUCTOR:
STUDENT NO.:
Dr. R. Gordon
DATE:
DURATION:
14 August 2013
3 hours
TO BE ANSWERED ON THE PAPER
STUDENTS MUST COUNT TH
UNIVERSITY OF VICTORIA
EXAMINATIONS, DECEMBER 1998
ELEC 220 - ELECTRICAL PROPERTIES OF MATERIALS
SECTION F01
TO BE ANSWERED IN BOOKLETS DATE: December 19, 1998
DURATION: 3 Hours
INSTRUCTOR: Dr. H.L. Kwok
ANSWER AL_L QUESTIONS.
ONE TABLE OF THE PHYSICAL CO
UNIVERSITY [IF WCTGRIA
FINAL EXAMINATIGNS —- DECEMBER Ell-[I1
ELEG 211} — ELECTRICAL PRGPERTIES GF MATERIALS
SECTIGN F {H
DURATIGN: 3 Hunt:
INSTRUCTGR: Dr.- ﬂ.L. mu
TI] DE ANSWERED IN BﬂﬂKLETS
STUDENTS MUST CGUNT THE NUMBER GF PAGES IN THIS EXAMINATIGN
PA
ASSIGNMENT: Z
3-3. (a) Capacitor with A = 10 cm2 =1x10'3 m2, d = 3 mm = 3x10'3 m
SO C = eoA/d = (8.85x10'12)(1x10'3)/(3x10'3) = 2.95x10'12 farads
V = 9 V, so Q= CV = (2.95x10’12)(9) = 2.66x10‘H coulombs
(b) With a dielectric with s, = 25 inserted, the cha
Egg/"Z; n/ M tMT (L
1 4—2. Electron energy bands can hold two electrons per atom. Monovalent and
trivalent metals, with one or three electrons per atom, have Fermi levels in the
middle of energy bands and behave normally. However, zinc and other divalent
Assignment ’7‘?“ -
1 2.4. (a) kF =1010 m“, VF = (mam/m =1.16x106 m/s,
EF = va2/2 = 6.10x10'19 J = 3.81 eV
(b) To get the mean speed, we integrate v = (2E/m)“2 over the energy distribution
from E = O to E = EF using the density of states Z(E)= CEVZ as desc
ELEC220 —- Electrical Properties of Materials
Test 4
30 July 2015
Calculators and 1 side of handwritten aid sheet allowed.
Name: 4 Z 2 4L! ‘5 4 1M Student No.:
1) In Silicon, the mobility of electrons is typically 3 times larger than the mobility of holes
ELEC220 — Electrical Properties of Materials
'7th ‘2 / m he ZOIL/
Non—programmable calculators allowed.
‘
Name: I £52! &:3 Student No.2
£=so=8.85x10"2F/m mc=9.11><1.0‘3l c=3x108m/s e=1.6x10“9C
1. A capacitor has plates with 10 cm2 area and a separation
ELECZZO — Electrical Properties of Materials
Test 2 — 22 June 2015
WWW
Symbui minim} Vania I
1 Side formula sheet and calculators allowed. ‘ t. mmmk “WE. mm x m. m C
e‘v‘ cluclmn wilt 1.6432 3*: ll',i“”‘"3
m aimlmn tit-M mm 9.109 1k: ll) “ M5
, mg.
ELEC220 - Lecture 8
5/31 - even when two electrons have the same wavelength, the could be in different energy states
6/31 - k = 2 pi / lambda
E = hbar^2k^2/2m
k = pi / a, lambda = 2a
electrons can have two different values which is psi 1 (cosine), psi
ELEC220 Electrical Properties of Materials
Test 2 15 July 2015
1 Side formula sheet and calculators allowed.
Name: _
Student No.:_
1. The group velocity of electrons in the first Brillouin zone is given by 106 sin(ka) m/s, where the
interatomic spacing a
ELEC220 Electrical Properties of Materials
Test 4
30 July 2015
Calculators and 1 side of handwritten aid sheet allowed.
Name: _ Student No.:_
1) In Silicon, the mobility of electrons is typically 3 times larger than the mobility of holes at T = 300 K.
Thi
Last Lecture
Looked at conduction in metals
Saw how bands give colour
Todays Lecture Motivation
Semiconductors give functionality to
electronic devices (diodes, transistors, etc.)
To understand the basic function of these
devices, we need to formulate
Last Lecture
Polarization of materials results from electronic, ionic,
dipolar, space-charge and ferroelectric phenomena (in
order of reducing speed)
The dipolar response is characterized with the Debye
model no restoring force
Electronic and ionic are
Last Lecture
Counted electrons using density of states
Fermi-Distribution is probability that an
electron is in a state at higher temperatures.
Todays Lecture Motivation
Previously we thought electrons are free, but
the atomic lattice plays a role
The
Last Lecture
Ohms Law
Empirical law, not satisfied in all cases
Drude Model
Assumes constant scattering time and free electrons
Gives good agreement with many conductors
Hall Effect
Used to measure carrier density (and sign of carrier
e.g., electr