Question 1
Given a scalar eld, T, with an integrable gradient
gradient around a closed loop
T . Consider the integral of this
T dl
C
(1)
By the Fundamental Theorem of Gradients :
T dl = 0
C
(2)
Stokes Law relates the closed line integral of a vector eld t
Boundary conditions for D, E, B and H
In any problem involving the calculation of potentials or elds one needs to know the
boundary conditions  that is we need to be able to dene the magnitude of the eld at
some point in space and/or know how it changes
Ferromagnetism
"Standard" magnets are generally ferromagnets Magnetisation is not proportional to H. In some cases m > a few thousand. The value of the magnetisation depends not only on the applied field but on the previous magnetic history of the magnet.
Chapter 24
Electromagnetic
Waves
24.6 Polarization
POLARIZED ELECTROMAGNETIC WAVES
A transverse wave is linearly polarized
when its vibrations always occur along
one direction.
A linearly polarized wave on a rope
can pass through a slit that is parallel
t
Chapter 22
Electromagnetic
Induction
22.9 Transformers
A transformer is a device for increasing or decreasing an ac
voltage.
It works on the principle of Faradays Law.
Vs
Vp
Vp = Np /t
Dividing Vs by Vp cancels
out /t since it is the same
for the primar
Chapter 22
Electromagnetic
Induction
22.4 Faradays Law of Electromagnetic Induction
FARADAYS LAW OF ELECTROMAGNETIC INDUCTION
The average emf induced in a coil of N loops is
) o &
$ = N
E
E = N'
' t t $
t
o%
(
where,
= BA cos
(The motional emf
relation
21.9 Magnetic Materials
The intrinsic spin and orbital motion of electrons gives rise to the magnetic
properties of materials electron spin and orbits act as tiny current loops.
In ferromagnetic materials groups of 1016  1019 neighboring atoms form
magne
My lecture slides are posted at
http:/www.physics.ohiostate.edu/~humanic/
Information for Physics 112 midterm, Wednesday, February 8
1) Format: 10 multiple choice questions (each worth 5 points) and two
showwork problems (each worth 25 points), giving 1
My lecture slides are posted at
http:/www.physics.ohiostate.edu/~humanic/
Information for Physics 112 midterm, Wednesday, February 8
1) Format: 10 multiple choice questions (each worth 5 points) and two
showwork problems (each worth 25 points), giving 1
My lecture slides are posted at
http:/www.physics.ohiostate.edu/~humanic/
Information for Physics 112 midterm, Wednesday, February 8
1) Format: 10 multiple choice questions (each worth 5 points) and two
showwork problems (each worth 25 points), giving 1
Chapter 20
Electric Circuits
Example. The figure shows a circuit composed of a 24V battery and
four resistors, whose resistances are 110, 180, 220 and 250 . Find
(a) the total current supplied by the battery and (b) the voltage
between points A and B in
Chapter 20
Electric Circuits
20.7 Parallel Wiring
Parallel wiring means that the devices are
connected in such a way that the same
voltage is applied across each device.
When two resistors are connected in
parallel, each receives current from the
battery
My lecture slides are posted at
http:/www.physics.ohiostate.edu/~humanic/
Chapter 20
Electric Circuits
20.3 Resistance and Resistivity
For a wide range of materials, the resistance R of a piece of
material of length L and crosssectional area A is
L
L
R=
Chapter 19
Electric Potential Energy
and the
Electric Potential
19.5 Capacitors and Dielectrics
A parallel plate capacitor consists of two
metal plates, one carrying charge +q and
the other carrying charge q.
It is common to fill the region between
the pl
Chapter 19
Electric Potential Energy
and the
Electric Potential
Van de Graaff generator used as a particle accelerator. An electron is
accelerated vertically starting from rest across a +100,000 V potential difference
produced by a Van de Graaff. Find a)
Chapter 19
Electric Potential Energy
and the
Electric Potential
19.1 Potential Energy
The work done by the gravitational field
on the ball in going from A to B equals
the difference between the gravitational
potential energy at A (GPEA) and the
gravitatio
My lecture slides may be found on my website at
http:/www.physics.ohiostate.edu/~humanic/

Chapter 18
Electric Forces and
Electric Fields
18.6 The Electric Field
The positive charge experiences a force which is the vector sum of the
forces exerted by th
PX263  Electromagnetism and Optics  Problems
1. Show that
T = 0 for any scalar eld T.
2. Show that
(
V ) = 0 for any vector eld V.
3. Compute the electric eld a distance z above the center of line charge of length L
and charge per unit length .
4. Comp
Digression
The search for magnetic monopoles is still being made. Why?
Predicted that the existence of a single
magnetic monopole can explain why the
electron charge is quantised (how? He found
that e*g = 2 h c)
Many supersymmetric theories or GUTs
predic
Paramagnetism
Uniform applied field
Nonuniform applied field
Paramagnetic Applications
electron paramagnetic resonance (EPR)
medical imaging (like MRI)
surface characterisation
Element separation
Propellant orientation in fuel tanks at NASA
Diamagnetism
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The MKS Type 1179 is a general purpose mass flow controller designed to measure and
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Advanced Small Signal MOSFET
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BVDSS = 60 V
n Fast Switching Times
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TO92
1
LMC660
CMOS Quad Operational Amplifier
General Description
The LMC660 CMOS Quad operational amplifier is ideal for
operation from a single supply. It operates from +5V to +15V
and features railtorail output swing in addition to an input
commonmode rang
CA3086
Data Sheet
August 2003
FN483.5
General Purpose NPN Transistor Array
Applications
The CA3086 consists of five generalpurpose silicon NPN
transistors on a common monolithic substrate. Two of the
transistors are internally connected to form a differe
LMC660 CMOS Quad Operational Amplifier
June 2006
LMC660 CMOS Quad Operational Amplifier
General Description
The LMC660 CMOS Quad operational amplifier is ideal for operation from a single supply. It operates from +5V to +15.5V and features railtorail ou
Low Noise, Low Drift
SingleSupply Operational Amplifiers
OP113/OP213/OP413
PIN CONFIGURATIONS
NULL
1
IN A
2
+IN A
3
V
8
4
TOP VIEW
(Not to Scale)
NC
OUT A
1
7
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IN A
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6
OUT A
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5
OP113
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Single or dualsupply ope
PHYS370 Advanced Electromagnetism
Part 1: Maxwells Equations
Introduction
Contents:
1. Introduction  Maxwells equations (3 lectures)
2. Electromagnetic waves in dielectric media (3)
3. Electromagnetic waves in conducting media (2)
4. Waves incident on bo
Electromagnetic Waves
A wave is a disturbance in a medium that propagates with a xed shape at a constant
velocity. If f (x, t) is the wave, then it depends on x and t only in the combination
f (x, t) = g (x vt)
(1)
Waves obey the wave equation which link