B. Rouben
McMaster University
4D03/6D03 Nuclear Reactor Analysis
2015 Sept.Dec.
20151130
Additional Exercises 2
1. The figure below shows the neutron cycle for a finite, critical reactor. The notes
in the figure refer to an arbitrary unit of time. Calc
Eng Phys 4X03
Fall/Winter 2015/16
Course Outline
Eng Phys 4X03
Introduction to Photovoltaics
Fall/Winter 2015/16
Course Outline
CALENDAR/COURSE DESCRIPTION
A review of photovoltaic devices including solar cell operation, characterization, manufacturing, e
Up to 2 marks of this lab report will be deducted for
1. improper stapling
2. poor report format/readability e.g.: failing to discuss what and why youre deriving a
certain equation prior to its derivation.
3. failing to attach a scanned copy of the inlab
Note: Throughout this problem use a discount rate of 7% and an investment lifetime of 20 years
for discounting any capital investments. Some information in the text is just for your learning on
economic analysis. Select the information you need. This is a
If you are appointed to a new manager of Toronto Maple Leafs, what will you do ?
Define the past and the current problems of team.
Evaluate, Check & Look back
Communicate with your colleagues.
Identify the internal idea of problem.
Real problems ?
Carry o
VECTOR ANALYSIS
A B= ABcos
Dot Product:
A B= ABsin n^
Cross Product:
Scalar triple product:
A B= A x B x + A y B y + A z B z

^x
A B= A x
Bx


Ax A y Az
A ( B C ) = B x B y Bz =
Cx C y Cz

^y
^z
A y Az
By Bz
volume of a parallelepiped
A ( B C )=B
7.1
Electricity and Magnetism II
Griffiths Chapter 7 Maxwells Equations
Clicker Questions
7.2
In the interior of a metal in static
equilibrium the charge density is:
A) zero always
B) never zero.
C) sometimes zero, sometime nonzero, depending on the
condi
MAXWELLS EQUATIONS
7.2
Maxwells equations so far.
E / 0
B 0
E B/t
B 0 J
Using Stokes theorem on Faradays law gives.
A)
B)
C)
D)
E dA d /dt
E dA B /dt
E dl d /dt
E dl B /dt
B
B
E) NONE of the above is correct!
7.3
Look at our full set of Maxwells
equatio
Name
Student Number
ENGINEERING PHYSICS 2A04 (crosslisted with MEDICAL PHYSICS 2B03)
Instructor: RAY LAPIERRE
DAY CLASS
DURATION OF EXAMINATION: 3 Hours
MCMASTER UNIVERSITY FINAL EXAMINATION
December, 2012
THIS EXAMINATION PAPER INCLUDES 3 PAGES AND 8 QU
EP3ES3: INTRODUCTION TO
ENERGY SYSTEMS
2015/2016
MCMASTER UNIVERSITY
Department of Engineering Physics
McMaster University
Department of Engineering Physics
EP3ES3
TABLE OF CONTENTS
Week 1: Orientation
0
Week 2: Team Building Exercises and Debate
2
Week 3
MAGNETIZATION+DIPOLES
Class Activities:
Magnetization (1)
Class
Activities:
Magnetization
(2)
5.30
The leading term in the vector potential
multipole expansion involves
dl '
What is the magnitude of this integral?
A) R
B) 2 R
C) 0
D) Something entirely
Introduction to Energy Systems: Quiz on Factor Five, Introductory Chapter
September 10, 2015
What is the role of regulation in achieving sustainability innovations?
A: to prevent capital from investing in destructive industries, to encourage investment in
Vi Vo
+ 1 = e qVo / kBT
RI S
(
Vo =
)
V (I ) =
V Vo
k BT
ln i
+1
q
RI S
Rd =
k BT
ln ( I / I S + 1)
e
dV k BT 1
=
dI
e I + IS
k BT / e
I
Diode stuff
V1 =
R1
Vtotal
R1 + R2
dB = 10log10
Kirchhoff
V
V0
2
ZC =
i Z R = R
C
Z L = i L
VO
1
=
Vi i RC + 1
IE2 =
V
Chapter 9: Electromagnetic Waves
Objectives:
Understand the origin of the wave equation
Be able to solve the wave equation
Understand plane waves
Understand the concept of refractive index
Understand the concept of skin depth
Understand the energy and mom
Chapter 7: Electrodynamics continued
Objectives:
Understand the concept of mutual and selfinductance
Understand energy in magnetic fields
Be able to calculate inductance and magnetic field
energy
Read:
3rd or 4th edition: 7.2.3 7.2.4
Problems:
3rd editi
Chapter 6: Magnetic Fields in Matter continued
Objectives:
Understand the concept of the H field
Understand the concept of linear materials
Be able to calculate H and B in magnetic materials
Understand the origin of ferromagnetism
Read:
3rd or 4th editio
Objectives:
Understand the concept of magnetic vector
potential
Understand the concept of multipole expansion of
the magnetic vector potential
Read:
3rd or 4th edition: 5.4.1, 5.4.3
Problems:
3rd edition: 5.22, 5.34
4th edition: 5.23, 5.35
Magnetic Vector
Chapter 6: Magnetic Fields in Matter
Objectives:
Understand the concept of magnetization
Understand the difference between diamagnetic and
paramagnetic materials
Understand the concept of bound surface and volume
currents
Read:
3rd or 4th edition: 6.1.1 6
Chapter 5: Magnetostatics continued
Objectives:
Examine B and xB
Be able to use Amperes law to calculate the magnetic
field from different line, sheet or volume currents
Read:
3rd or 4th edition: 5.3.1 5.3.4
Problems:
3rd edition: 5.13 5.16, 5.19
4th edi
Chapter 5: Magnetostatics
Objectives:
Use the Lorenz force law to calculate the force on a
particle
Understand cyclotron motion
Read:
3rd or 4th edition: 5.1.1 5.1.2
Problems:
3rd edition: 5.1 5.3, 5.39
4th edition: 5.1 5.3, 5.41
Force on q due to B, F =
Chapter 5: Magnetostatics continued
Objectives:
Be able to use the BiotSavart law to calculate the
magnetic field from different line, surface or volume
currents
Understand the concept of magnetic moment
Read:
3rd or 4th edition: 5.1.3 5.2.2
Problems:
3
Chapter 4: Electric Fields in Matter
Objectives:
Understand the properties of dielectrics
Understand the concept of polarization
Understand the concept of bound charges
Be able to calculate the bound charges in simple situations
Read:
3rd or 4th edition:
Chapter 4: Electric Fields in Matter continued
Objectives:
Understand the concept of electric displacement
Understand the concept of linear dielectrics
Be able to calculate electric fields inside dielectrics
Read:
3rd or 4th edition: 4.3.14.4.1
Problems
Objectives:
Understand the origin of Ohms law
Be able to calculate the resistance in different conductors
Understand the origin of the continuity equation
Read:
3rd or 4th edition: 7.1.1
Problems:
3rd or 4th edition: 7.1, 7.4
Electrostatics: E = 0 inside
Chapter 3: Special Techniques
Objectives:
Understand the origin of Poisson and Laplace equation
Understand the concept of image charge
Be able to solve the Laplace equation in simple situations
Read:
3rd or 4th edition: 2.3.3 + all sections in chapter 3 e
Objectives:
Understand the concept of capacitance
Be able to calculate the capacitance of different
charge distributions
Be able to discuss applications of capacitors
Read:
3rd or 4th edition: 2.5.4
Problems:
3rd edition: 2.39, 2.40
4th edition: 2.43, 2.4