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Week
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Date
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Lectures/Exams
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Readings
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Topics
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1
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Tu
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Lecture 1:
Introduction
Slides ACTs
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None
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Introduction
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Th
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Lecture 2:
Coulomb's Law
Slides ACTs
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Ch 22.1-4
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- Electrostatic
Phenomena (rubber rods & glass rods)
How do we Interpret the results??
Torsion balance gives spatial dependence
- Superposition of
Forces
- Force Comparison:
Electrical vs Gravitational
- The Electric Field
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2
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Tu
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Lecture 3:
Electric Fields
Slides ACTs
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Ch 22.4-22.7,
23.1
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- Define Electric
Field in terms of force on "test charge"
- Lines of Force
- Example
Calculations:
Discrete: Electric Dipole
Continuous: Infinite Line of Charge
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Th
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Lecture 4:
Gauss's Law
Slides ACTs
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Ch 23
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- Gauss' Law:
Motivation & Definition
- Coulomb's Law as a
consequence of Gauss' Law
- Charges on
Conductors:
Where are they?
- Applications of
Gauss' Law
Infinite Line of Charge
Infinite Sheet of Charge
Two infinite sheets of charge
Shortcuts
Uniform Charged Sphere
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3
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Tu
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Lecture 5:
Electric Potential
Slides ACTs
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Ch 24.1-4
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- Introduce Concept
of Electric Potential
Is it well-defined? i.e. is Electric Potential a property of the space as is
the Electric Field?
- Define
Equipotentials
- Examples
Charged Spherical Shell
N point charges
Electric Dipole
- Can we determine
the Electric Field if we know the Electric Potential?
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Th
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Lecture 6:
Electric Potential
Slides ACTs
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Ch 24, 25.1
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- Brief Review of
Potential from last lecture
- Calculate Electric
Field of Dipole from Potential
- Equipotentials and
Conductors
- Electric Potential
Energy
of Charge in External Electric Field
stored in the Electric Field itself (next time)
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4
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Tu
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Lecture 7:
Capacitance
Slides ACTs
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Ch 25.1-5
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- Energy stored in
the Electric Field
as distinguished from electric potential energy of a charge located in an
electric field.
- Definition of
Capacitance
- Example
Calculations
Parallel Plate Capacitor
Cylindrical Capacitor
- Combinations of Capacitors
Capacitors in Parallel
Capacitors in Series
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Th
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Lecture 8:
Capacitance
Slides ACTs
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Ch 25
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- Calculate Energy
Stored in Capacitor
- Calculate Energy
Density in Electric Field
- Define Dielectric
Constant
- Modify Gauss’ Law
to include Dielectrics
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5
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Tu
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Lecture 9:
Review
Slides
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Ch 22-25
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Coulomb's Law or Gauss' Law
Law of Superposition
Electric Field, Potential Function, Electric Potential Energy, Field Lines,
Equipotentials
Conductors and Insulators
Capacitance, Dielectric constant
E = -gradV, Capacitors: parallel, series, energy
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Th
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Lecture 10:
Simple Circuits
Slides ACTs
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Ch 26,27.1
(rest of Ch 27 optional)
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Capacitors
Batteries
Resistors
- Resistors in
Series & Parallel
- Kirchoff's Rules
Loop Rule (V is independent of path)
Junction Rule (Charge is conserved)
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6
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Tu
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Lecture 11: RC
Circuits
Slides ACTs
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Ch 26.6
(rest of Ch 27 optional)
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- Power &
(non-ideal) Batteries (from last time)
- Calculate Charging
of capacitor through a Resistor
- Calculate
Discharging of capacitor through a Resistor
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Th
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Lecture 12:
Magnetic Force
Slides ACTs
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Ch 28.1, 2
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- Introduction to
Magnetic Phenomena
Bar magnets & Magnetic Field Lines
Source of Fields: Monopoles? Currents?
- Diversion:
Relativity and E & M
Special Relativity Þ Magnetic forces MUST exist!!
- Magnetic forces:
The Lorentz Force equation
- Motion of charged
particle in a Constant Magnetic Field.
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7
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Tu
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Lecture 13:
Forces & Magnetic Dipoles
Slides ACTs
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Ch 28
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- Application of
equation for trajectory of charged particle in a constant magnetic
field: the Cyclotron.
- Magnetic Force on
a current-carrying wire
- Current Loops
Magnetic Dipole Moment
Torque (when in constant B field)
Potential Energy (when in constant B field)
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Th
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Lecture 14: The
Laws of Biot-Savart & Ampere
Slides ACTs
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Ch 29.1-4
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- Fundamental Law
for Calculating Magnetic Field
Biot-Savart Law (brute force)
Ampere’s Law (high symmetry)
- Example: Calculate
Magnetic Field of Infinite Straight Wire
from Biot-Savart Law
from Ampere’s Law
- Calculate Force on
Two Parallel Current-Carrying Conductors
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8
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Tu
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Lecture 15:
Magnetic Fields
Slides ACTs
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Ch 29.1-4
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- Calculate Magnetic
Fields
Inside a Long Straight Wire
Infinite Current Sheet
Solenoid
Toroid
Circular Loop
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Th
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Lecture 16:
Faraday's Law
Slides ACTs
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Ch 30.1-5
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- Induction Effects
- Faraday’s Law
(Lenz’ Law)
Energy Conservation with induced currents?
- Faraday’s Law in
terms of Electric Fields
Betatron
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10
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Tu
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Lecture 17:
Review
Slides
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Ch 26-30
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Biot-Savart Law, Ampere's Law, Faraday’s Law
Magnetic Field, Resistance, Magnetic Moment, Potential Energy, Magnetic Flux
Kirchoff's Laws, Resistors: parallel,series, resistivity, Power in circuits,
Force on currents, Torque on current loops.
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Th
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Lecture 18:
Self-Inductance
Slides ACTs
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Ch 30
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- Concept of
Self-Inductance
- Definition of
Self-Inductance
- Calculation of
Self-Inductance for Simple Cases
- RL Circuits
- Energy in
Magnetic Field
- Mutual Inductance
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11
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Tu
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Lecture 19:
Oscillations: LC Circuits
Slides ACTs
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Ch 31.3
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- Qualitative
descriptions:
LC circuits (ideal inductor)
LC circuits (L with finite R)
- Quantitative
descriptions:
LC circuits (ideal inductor)
---Frequency of oscillations
---Energy conservation?
- LC circuits (L
with finite R)
Frequency of oscillations
Damping factor
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Th
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Lecture 20: AC
Circuits
Slides ACTs
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Ch 31.1-5
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Can a circuit be built with real components (ie resistance) which sustains
the oscillations we saw in an LC circuit?
Phases for driven circuits with R, C, and L
Defined as a rotating vector
Phase difference between current & voltage for Resistors, Capacitors, and
Inductors.
- Application to
Driven Series LCR Circuit:
General solution
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13
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Tu
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Lecture 21: AC
Circuits
Slides ACTs
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Ch 31.6-7
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- Driven Series LCR
Circuit:
General solution
Resonance condition
..Resonant frequency
..Sharpness of resonance = Q
Power considerations
..Power factor depends on impedance
Voltage changes
Faraday’s Law in action gives induced primary current.
Power considerations
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Th
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Lecture 22:
Electromagnetic Waves
Slides ACTs
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Ch 32, 33.4
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- Electromagnetic
Waves: Experimental
- Ampere’s Law Is
Incomplete: Displacement Current
- Review of Wave
Properties (remember the 111 finale?)
- Electromagnetic
Waves: Theory
Maxwell’s Equations contain the wave equation!
The velocity of electromagnetic waves = c
The relationship between E and B in an e-m wave
Energy in e-m waves: the Poynting vector
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13
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Tu
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Lecture 23:
Polarization
Slides ACTs
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Ch 33.7
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- Linearly
Polarized e-m Waves
- Linear Polarizers
(Law of Malus)
- Circular
Polarization
Quarter-Wave Plates
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Th
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Lecture 24:
Reflection & Refraction
Slides ACTs
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Ch 33.6
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- Polarization
recap
- Overview : waves
in materials & geometric optics
- Reflection
- Index of
Refraction
- Snell’s Law for
Refraction
- Intensity of
reflected, refracted waves
Total Internal Reflection
Reflection: Brewster’s Angle
Scattering
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14
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Tu
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Lecture 25:
Review
Slides
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Ch 30-33
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Ampere’s Law (revisited)
Inductance, Phasors, Resonance, Reactances, Impedance, Displacement Current,
Poynting Vector, Polarization
States.
RL Circuit behavior, Energy in inductor, LC Oscillations, LCR series circuit
solution, Average Power in AC circuits, E-M Wave Eqn, Speed of E-M waves, LP
Transmission, Reflection & Refraction.
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Th
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Lecture 26:
Mirrors & Lenses
Slides
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Ch 34.1-3
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- Overview :
Nothing new here!
- Concave Spherical
Mirrors
The Mirror Eqn, Magnification, Sign Conventions
- Planar &
Convex Spherical Mirrors
- Lenses
The Lens Equation
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15
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Tu
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Lecture 27:
Optical Instruments
Slides ACTs
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Ch 34.4
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- The Lensmaker’s
Formula
- Multiple Lenses
- The Eye
Corrective Lenses for Myopic & Hypertropic Eyes
- Magnifiers &
Microscopes
- Telescopes
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Th
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Lecture 28: All
Act Review
Slides
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See Lecture Slides
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16
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Tu
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Lecture 29: The
Last Waltz
Slides
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Ch 22-34
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Coulomb's Law or Gauss' Law
Law of Superposition
Biot-Savart Law, Ampere's Law
Faraday's Law (Lenz's Law)
Electric Field, Potential Difference, Electric Potential Energy, Field Lines,
Equipotentials, Conductors and Insulators, Capacitance, Dielectric constant
Magnetic Field, Resistance, Magnetic Moment, Potential Energy, Magnetic Flux,
Inductance, Phasors, Resonance, Reactances
Displacement Current, Poynting Vector, Polarization States
E = -gradV , Capacitors: parallel, series, energy
Kirchoff's Laws, Resistors: parallel,series, resistivity, Power in circuits,
Force on currents, Torque on current loops
RL Circuit behavior, Energy in inductor, LC Oscillations, LCR series circuit
solution, Average Power in AC circuits
Mirror/Lens Equation
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