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PIMA COMMUNITY COLLEGE
Effective Term: Full Academic Year 2017/18
PHY
216IN
Introductory Electricity and Magnetism
Credit Hours: 5.00
Lecture Periods: 4.00
Lab Periods: 3.00
Description:
Calculus-based introduction to electricity and magnetism for physics, mathematics, and engineering majors.
Includes electric charge and Coulomb's law, the electric field, Gauss's law, electric potential, capacitors and
dielectrics, current and resistance, the magnetic field, Ampere's law and Biot-Savart law, and Faraday's law of
induction. Also includes magnetic properties of matter, inductance, alternating current, Maxwell's equations,
and electromagnetic waves.
Prerequisite(s): With a grade of C or higher: MAT 231 and PHY 210IN.
Information: IN is the integrated version of the course with the lecture and lab taught simultaneously.
Course Learning Outcomes:
Upon successful completion of the course, the student will be able to:
1.
Show improvement in the application of physical laws when analyzing natural phenomena and the
interaction of physical objects.
2.
Demonstrate understanding of electric and magnetic fields, and their interaction with matter, by predicting
outcomes in various physical situations.
3.
Apply the principle of conservation of energy to systems of charged particles.
4.
Apply conservation laws and the concepts of current and voltage to analyze and predict the behavior of
electrical circuits.
Performance Objectives:
Upon successful completion of the course, the student will be able to:
1.
Derive and apply Coulomb's Law and the principle of vector superposition to find the net electrostatic force
on a charged body.
2.
Apply the concept of the electrostatic field and the principle of vector superposition to find the net
electrostatic field at a point due to a surrounding charge distribution.
3.
Apply the principles of infinite series expansion to approximate the electrostatic field at near and far points
from a given charge distribution.
4.
Derive and apply Gauss's Law to find the electric field in various charge distributions.
5.
Apply the concept of electric field flux for various charge configurations.
6.
Derive and apply the concepts of potential, potential difference, and potential energy to solve potential
theory problems.
7.
Apply the principles of infinite series expansions to approximate the potential at near and far points from a
given charge distribution.
8.
Derive the principles of capacitance and the rules for determining the net charge, potential, and potential
energy for various capacitive configurations.
9.
Derive and apply the principles of electromotive force, current, and Ohm's Law to various circuit problems.
10. Apply the principles of circuit theory and Kirchhoff's Rules to find equivalent resistance, potential, and
current in various single multi-loop circuit configurations.
11. Derive and apply the vector definition of the magnetic field.
12. Apply the definition of the magnetic field vector at various points in the vicinity of a current configuration.
13. Derive the appropriate equations to calculate the force due to a magnetic field on various current
configurations.
14. Apply the Biot-Savart Law and Ampere's Law to derive the net magnetic field vector at various points in
the neighborhood of a charge current configuration.
15. Apply the principles of infinite series expansions to approximate the magnetic field at near and far points
from a given charge current configuration.
16.
17.
18.
19.
20.
21.
22.
Apply Faraday's Law to derive the electromotive force in various circuit configurations in the neighborhood
of a changing magnetic field.
Derive the equations for induced electric field, using Faraday's Law, in the neighborhood of a changing
magnetic field.
Derive the concept of a displacement current in terms of a changing electric field.
Derive and apply the magnetic properties of matter.
Derive and apply the principles of inductance including calculation of inductance in various current
configurations, LR circuits, energy storage in a magnetic field, and electromagnetic oscillations.
Derive and apply the principles of inductance in alternating current circuits.
Derive and apply Maxwell's Equations as the basic equations of electromagnetism.
Outline:
I.
II.
III.
IV.
V.
VI.
VII.
Electric Charge and Coulomb's Law
A.
Electric charge, conductors, dielectrics
B.
Coulomb's force law and discrete charge configurations
C.
Charge quantization
D.
The atomic model
The Electric Field
A.
Vector fields
B.
The electric field for discrete and continuous charge configurations
C.
The electric dipole
D.
Approximation of the derived electric fields at near and far points
E.
The electric dipole moment vector
Gauss's Law
A.
The flux of a vector field
B.
Gauss's law and the divergence theorem of Gauss
C.
The electric field for infinite sheets, cylinders, and spheres
Electric Potential
A.
Definition of electric potential
B.
Electric potential energy
C.
Calculating the electric potential from a field
D.
Potential due to discrete and continuous charge configurations
E.
Equipotential surfaces
F.
Calculating the field from a potential
G. Approximating the potential for discrete and continuous charge distributions at near and far points
H.
Electrostatic generators
Capacitors and Dielectrics
A.
Definition of capacitance
B.
Calculating capacitance
C.
Equivalent capacitance
D.
Energy storage in an electric field
E.
Capacitors with a dielectric
F.
The atomic model and generalized Gauss's law
G. Three electric vectors
1. The electric vector
2. The displacement vector
3. The polarization vector
Current and Resistance
A.
Electric current and current density
B.
Resistance, resistivity and conductivity
C.
Ohm's law
D.
Electromotive force and energy transfer
E.
Equivalent resistance configurations
F.
Solving single and multi-loop circuits
G. Measuring instruments and RC circuits
The Magnetic Field
A.
The definition of the magnetic field
B.
The magnetic force on free charges and currents
VIII.
IX.
X.
XI.
XII.
XIII.
XIV.
C.
Torque on a current loop and the magnetic dipole moment
D.
The Hall effect
Ampere's Law and the Biot-Savart Law
A.
Applications of Biot-Savart and Ampere's laws
B.
Lines of magnetic flux and Gauss's law for magnetism
C.
Solenoids and toroids
D.
Electromagnetism and frames of reference
Faraday's Law of Induction
A.
Faraday's and Lenz's laws
B.
Motional EMF
C.
Induced electric fields
D.
The betatron
E.
Induction and relative motion
Magnetic Properties of Matter (Optional)
A.
Atomic and nuclear magnetism
B.
Magnetization
C.
Magnetic materials
Inductance
A.
Calculating inductance
B.
LR circuits
C.
Energy storage in a magnetic field
D.
Electromagnetic oscillations
Alternating Current (Optional)
A.
Alternating current circuits
B.
LC and LRC circuits
C.
Power in AC circuits
Maxwell's Equations
A.
The equations of electromagnetism
B.
Induced magnetic fields and the displacement current
C.
Maxwell's equations and cavity oscillations
Electromagnetic Waves (Optional)
A.
The electromagnetic spectrum
B.
Generating an E-M wave
C.
Traveling waves and Maxwell's equations
D.
Momentum and pressure of radiation