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# PHY 216IN - Introductory Electricity and Magnetism [SUN# PHY 1131]

4 Credits, 6 Contact Hours
3 lecture periods 3 lab periods

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): MAT 231  and PHY 210IN
Gen-Ed: Meets AGEC - SCI; Meets CTE - M&S.

Course Learning Outcomes
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:
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. Apply Faraday’s Law to derive the electromotive force in various circuit configurations in the neighborhood of a changing magnetic field.
17. Derive the equations for induced electric field, using Faraday’s Law, in the neighborhood of a changing magnetic field.
18. Derive the concept of a displacement current in terms of a changing electric field.
19. Derive and apply the magnetic properties of matter.
20. 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.
21. Derive and apply the principles of inductance in alternating current circuits.
22. Derive and apply Maxwell’s Equations as the basic equations of electromagnetism.

Outline:
1. Electric Charge and Coulomb’s Law
1. Electric charge, conductors, dielectrics
2. Coulomb’s force law and discrete charge configurations
3. Charge quantization
4. The atomic model
2. The Electric Field
1. Vector fields
2. The electric field for discrete and continuous charge configurations
3. The electric dipole
4. Approximation of the derived electric fields at near and far points
5. The electric dipole moment vector
3. Gauss’s Law
1. The flux of a vector field
2. Gauss’s law and the divergence theorem of Gauss
3. The electric field for infinite sheets, cylinders, and spheres
4. Electric Potential
1. Definition of electric potential
2. Electric potential energy
3. Calculating the electric potential from a field
4. Potential due to discrete and continuous charge configurations
5. Equipotential surfaces
6. Calculating the field from a potential
7. Approximating the potential for discrete and continuous charge distributions at near and far points
8. Electrostatic generators
5. Capacitors and Dielectrics
1. Definition of capacitance
2. Calculating capacitance
3. Equivalent capacitance
4. Energy storage in an electric field
5. Capacitors with a dielectric
6. The atomic model and generalized Gauss’s law
7. Three electric vectors
1. The electric vector
2. The displacement vector
3. The polarization vector
6. Current and Resistance
1. Electric current and current density
2. Resistance, resistivity and conductivity
3. Ohm’s law
4. Electromotive force and energy transfer
5. Equivalent resistance configurations
6. Solving single and multi-loop circuits
7. Measuring instruments and RC circuits
7. The Magnetic Field
1. The definition of the magnetic field
2. The magnetic force on free charges and currents
3. Torque on a current loop and the magnetic dipole moment
4. The Hall effect
8. Ampere’s Law and the Biot-Savart Law
1. Applications of Biot-Savart and Ampere’s laws
2. Lines of magnetic flux and Gauss’s law for magnetism
3. Solenoids and toroids
4. Electromagnetism and frames of reference
2. Motional EMF
3. Induced electric fields
4. The betatron
5. Induction and relative motion
10. Magnetic Properties of Matter (Optional)
1. Atomic and nuclear magnetism
2. Magnetization
3. Magnetic materials
11. Inductance
1. Calculating inductance
2. LR circuits
3. Energy storage in a magnetic field
4. Electromagnetic oscillations
12. Alternating Current (Optional)
1. Alternating current circuits
2. LC and LRC circuits
3. Power in AC circuits
13. Maxwell’s Equations
1. The equations of electromagnetism
2. Induced magnetic fields and the displacement current
3. Maxwell’s equations and cavity oscillations
14. Electromagnetic Waves (Optional)
1. The electromagnetic spectrum
2. Generating an E-M wave
3. Traveling waves and Maxwell’s equations
4. Momentum and pressure of radiation