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ELECTRIC CHARGES AND FIELDS
1. Two alpha particles are 103 apart. Calculate the gravitational and electrostatic force between
them. (q = 2 1.6 10 19 C, m = 6.8 10 27 kg, G = 6.7 10 11 SI units).
2. Two identical small balls have q1 = 1 mC and
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Class: _
Date: _
ID: A
Name: _
ID: A
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6. A child whirls a ball around in circles on the end of a 48 cm long string at a frequency of 2.5 Hz. What is
the balls centripetal acceleration?
a. 1.2 ! 104 m/s2
d. 38 m/s2
b. 1.2 ! 102 m/s2
e. 3.0 m/s2
c.
SPH4U ELECTIC FIELD AND POTENTIAL REVIEW 2014
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
1. A negatively charged rod is held near, but does not touch the knob of an electroscope. The leaves of the
ele
Name:
_
Review:
Class:
_
Date:
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Wave Nature of Light
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
1. A wave travelling along a spring with a wavelength of 2.0 m enters a second spring where the wa
Orbits
Textbook: 3.4, 6.2
Homework: pg. 151 #4 6; pg. 284 #2, 5, 7
Satellites
! A satellite is an object or
body that revolves around
another body due to
gravitation.
! The path that a satellite
takes is called an orbit
! Ex. Geosynchronous
satellites hav
Universal Gravitation
Textbook: 3.3, 6.1
Homework: pg. 144 #4 6; pg. 277 #2 4
Universal Gravitation
! Any two objects with masses m and M separated by a
distance r will attract each other with a force Fg
GMm
Fg =
2
r
! G = 6.67 x 1011 Nm2/kg2
The Cavendi
Polarization
Textbook: 10.1
Homework: Complete EM Spectrum assignment
Polarization
! Light is a transverse wave
because it can be
polarized. The direction
of polarization is the
same as the E field.
! Types of Polarization:
! Linearly/plane polarized
! Ci
Thin Films
Textbook: 10.4, 10.5
Homework: pg. 519 #4 7
Reflection of Waves
! Recall:
! A wave reflecting of a
fixed end reflects 180
out of phase
! A wave reflecting of a
free end reflects in phase
Partial Reflection
High speed to low:
Low speed to high:
Diffraction
Textbook: 10.3
Homework: pg. 511 #1 5
Diffraction Gratings
! A device with a large number of equally spaced parallel slits
that produces interference patterns.
! Produces narrower very bright fringes
! Two types: reflection and transmission
!
Single Slit Diffraction
Textbook: 10.2
Homework: pg. 507 #3, 5, 8 10
Single Slit Diffraction
! A single slit, of width w, is like a number of very
small very closely spaced slits
Single Slit Diffraction
! If the slit width is w, the wavelength is and all
Light: Wave or Particle?
Textbook: 9.4
Homework: read section 9.4
Newtons Corpuscles
! Newton believed light was made up of low mass particles.
He attempted to explain the known properties of light:
!
!
!
!
!
!
Rectilinear Propagation: particles moving ve
Properties of Waves
Textbook: 9.1
Homework: pg. 440 #1, 7 9
Types of Waves
Transmission
! Wave front: Continuous crest or trough
! Wave ray: An arrow drawn at right angle to fronts indicating
direction of wave motion
Universal Wave Equation
! The speed v,
Electric Charge
Textbook: 7.1
Homework: pg. 326 #1, 3, 5
Electric Charge
! Charge (Q) is a property of matter measured in Coulombs
[C]. Matter can have a positive, negative or neutral charge.
! The Law of Electric Charge
! Opposite charges attract each ot
Gravitational Potential
Energy
Textbook: 6.3
Homework: pg. 294# 1, 3, 5 9
Gravitational Potential Energy
! The gravitational potential energy, Ug in [J], of a system
made up of masses m1 and m2 in [kg] is given by:
GMm
Ug =
r
! Reference point set to inf
Conservation of Energy
Textbook: 4.4
Homework: pg. 201 #2 4, 6
Conservation of Energy
! For an isolated system, energy can be converted into different
forms, but cannot be created or destroyed
!
Etotal = Etotal
Mechanical Energy
! The work done by a conse
Gravitational Potential
Energy
Textbook: 4.3
Homework: pg. 194 #2 5
Potential Energy
! Potential energy (U) is energy stored in an object that can
then be used to do work
! Often the result of a restoring force
! Often depend on position
! Only changes in
Work and W.E.T.
Textbook: 4.1, 4.2
Homework: pg. 188 #4 8, 10
Work
! Work is the energy [J] transferred to an object by a force F
[N] through a displacement d [m]
F
Fcos
d
W = F d
W = Fd cos
! W > 0 J Force transfers energy to the object
! W < 0 J Force
Amperes Law
Textbook: 8.4
Homework: pg. 414 #1  4, 9
Amperes Law
B = I

! Take a closed path in B
! Add up Bl around path
! Sum equals 0I
! 0 = 4 x 107 Tm/A
0
Applications
! Coaxial Cable (see pg. 410)
! Electric Shielding
! Magnetic Shielding
! Defi
Magnetism
Textbook: 8.1
Homework: Read page 387 390; pg. 391 #1, 2, 7
Magentism
! Substances behave differently in magnetic fields due to the
motion and arrangement of its electrons.
! Diamagnetism:
! Opposes applied field
! Present in all materials
! Par
Magnetic Force on a
Conductor
Textbook: 8.3
Homework: pg. 407 #1  5
FM on a Conductor:
! The magnetic force FM [N] on a conductor of length l [m]
carrying a current I [A] through a magnetic field B [T] is:
FM = IB sin
! Where is the angle between I and
Magnetic Forces
Textbook: 8.2
Homework: pg. 402 #1  11
Forces on Moving Charges
Magnetic Forces
! The magnetic force, FM [N], on a particle of charge q [C]
moving through a magnetic field B [T] at a velocity v [m/s] is
found by:
FM = qvB sin
! Where is
Applications of Electric
Fields
Textbook: 7.4  7.6
Homework: pg. 364 #4; pg. 371 #1, 3, 5
Applications
! Electric Fields in Conductors
! Field = 0 inside the conductor
! Field always perpendicular to surface
! Parallel Plate Capacitors
! Medical Applicat
Coulombs Law
Textbook: 7.2
Homework: pg. 335 #3, 6, 9, 10, 13
Coulombs Law
! Two objects with charges q1 and q2, whose centres are a
distance r apart experience a force of magnitude:
k q1 q2
FE =
2
r
! k = 9.0 x 109 Nm2/C2
! Direction of force determined
Electric Potential
Textbook: 7.4
Homework: pg. 358 #1, 2, 4, 6 9
Electric Potential Energy
! The electric potential energy stored in a system with two
charges q1 and q2, separated by a distance r is:
kq1q2
UE =
r
! q1q2 < 0 charges are bound
! q1q2 > 0 ch
Electric Fields
Textbook: 7.3
Homework: pg. 343 #3, 4; pg. 347 #2, 10
Electric Fields
! The magnitude of the electric field strength, E in [N/C], a
distance r, in [m] away from a point charge q, in [C], is:
kq
E= 2
r
! k = 9.0 x 109 Nm2/C2
Field Diagrams
Refraction
Textbook: 9.1
Homework: pg. 450 #4 9
Refraction
! Refraction is the bending
of light as it travels at an
angle from on medium to
another
! The index of refraction,
n, quantifies a substances
optical density:
c
n=
v
! c = 3.00 x 108 m/s
Snells L
Diffraction and
Interference
Textbook: 9.2, 9.3
Homework: pg. 454 #2; pg. 460 #5, 7 9
Diffraction
! The bending and
spreading of a wave when
it passes through and
opening. Amount of
diffraction is small unless:
1
w
! Where w is the width of
the opening/ba
Electromagnetic
Radiation
Textbook: 9.6, 10.1
Homework: pg. 479 #4  7; pg. 534 #1
Maxwells Equations
E =
0
! Electric fields are
produced by electric
charges
! There are no magnetic
charges
! A changing electric field
induces a magnetic field
! A chang
Deflection of a Beam
A. Einstein
I. Newton, J.C. Maxwell
SPH4U108
Mr. Fraser
2011/10/22
Theory
An understanding of how a beam responds to the stress of a load is of central importance
to civil and structural engineers, as well as experimentalists