Designed to meet the requirements of engineering students and physics majors. Emphasizes how to relate physical principles to mathematical techniques in problem solving. Covers electromagnetism, including the study of fields, circuits, and optical systems. Four hours of lecture and three hours of laboratory activities per week. NOTE: Concurrent enrollment in MATH-280 is recommended.

### Goals, Topics, and Objectives

That students appreciate how physical law is central to the description of physical phenomena; and that they understand how to make applications of such law in engineering.

- Electric Charge
- Colulomb's Law
- Electric Fields
- Gauss's Law
- Electric Potential
- Capacitance and Dielectrics
- Current and Resistance
- EMF Sources
- R-C Circuits
- Electrical Measurement Instruments
- Magnetic Fields
- Magnetic Forces
- Sources of Magnetic Fields
- Ampere's Law
- Electromagnetic Induction
- Faraday's law
- Lenz's Law
- Inductors
- R-L, L-C, and R-L-C circuits

- Alternating Current
- Motors, Generators, and Transformers
- Maxwell's Equations
- Electromagnetic Waves
- Optics
- Reflection and refraction
- Image Formation
- Optical Instruments
- Interference
- Diffraction

Upon successful completion of this course, students should be able to:

- Demonstrate an ability to compute the Vector Dot Product and Vector Cross Product.
- Demonstrate an ability to compute Line, Surface and Volume integrals.
- Explain the concept of electric charge.
- Apply Coulomb's Law to determine the forces on charged particles.
- Describe the motion of charged particles using the appropriate kinematic equations.
- Determine the Electric Field Vector near Point Charges, Line Charges, Surface Charges and Volume Charges.
- Apply Gauss's Law to determine the electric field near certain symmetrical charge distributions.
- Describe the motion of charged particles in electric fields.
- Explain the difference between conductive materials and insulative materials.
- Determine the electric potential due to point charges.
- Determine the capacitance of Parallel-Plate, Cylindrical and Spherical Capacitors.
- Explain how a capacitor is able to store charge and electrical energy.
- Explain the concept of electrical current and describe the motion of charge carriers in electrical circuits.
- Determine the current through and the voltage drop across resistors in a circuit.
- Categorize a circuit as either a Series Circuit, a Parallel Circuit or a combination thereof.
- Determine the equivalent resistance of series circuits and parallel circuits.
- Demonstrate the correct and appropriate use of the digital multi-meter.
- Explain the function of an
*emf*source in electric circuits. - Explain the difference between electric fields and magnetic fields.
- Describe the magnetic field in and near permanent magnets.
- Analyze magnetic field line diagrams to determine the magnetic field vector anywhere in space.
- Determine the magnetic fields near current carrying wires and current carrying loops.
- Determine the forces on charged particles moving in magnetic fields.
- Apply Ampere's Law to determine the magnetic field near symmetric distribution of current carrying wires.
- Explain the concept of Electric Flux and Magnetic Flux.
- Explain the concept of induced
*emf*and induced current. - Apply Faraday's Law to determine the induced
*emf*and current in conductive loops. - Explain Lenz's Law and how it manifests in the equation describing Faraday's Law.
- Explain how motors and generators work.
- Explain how transformers work.
- Determine the voltage and current in the secondary coil and primary coil of a transformer based on the geometry of the transformer.
- Calculate the effects of loads on Transformers.
- Compare and Contrast Maxwell's Equations.
- Explain how Electromagnetic Waves are produced and propagate.
- Calculate the Poyting Vector and Intensity of an Electromagnetic Wave.
- Determine the direction of reflected light rays using the Law of Reflection.
- Use Snell's Law to determine refraction angles.
- Categorize mirrors as either flat, concave or convex.
- Categorize lenses as either converging or diverging.
- Apply ray-tracing rules to determine the location, orientation and magnification of images produced by mirrors and lenses.
- Determine the location, orientation and magnification of images using the thin-lens formula.
- Explain the difference between polarized light and un-polarized light.
- Determine the intensity of light that has passed through a combination of polarizers.
- Determine Brewster's Angle for various material/interface combinations.
- Explain how light waves interfere with one another.
- Contrast the concepts of Constructive and Destructive Interference.
- Explain how diffraction patterns are produced from single and double-slit configurations.
- Determine the location of fringes produced in a diffraction pattern.
- Predict the outcome of an experiment.
- Analyze experimental data using graphs and/or calculations.
- Predict the outcome of a related experiment using data from an experiment already performed.

**Meeting MTA requirements:**Course transfers as an equivalent to similar courses at Eastern Michigan, UM-Dearborn, Lawrence Tech, Wayne State and other colleges and universities.

### Assessment and Requirements

Student learning will be assessed through classroom examinations including a cumulative final exam. Students will submit a written lab report for each experiment performed. The lab report will be used to determine if the student followed instructions, collected the data correctly, analyzed the data, and was able to draw the correct conclusions from the analysis. Problem solving skills will be evaluated using assigned problems turned in by hand or using an online homework site and on the class exams. Conceptual understanding will be evaluated through classroom discussions and in-class exams.

Standard University Level, Calculus Based Physics Textbook

### Outcomes

- Natural Sciences

- Scientific Reasoning

- Category 6.1: Natural Sciences
- Category 6.2: Natural Sciences with Laboratory Experience

### Credit for Prior College-Level Learning

A student may receive credit for PHYS-232 by earning either:

- A score of 4 or higher on AP Physics C: Electricity and Magnetism Exam.
- A score of 6 or higher on the International Baccalaureate-Higher Level (IB-HL) Physics Exam.