## PHYS 104 – Electromagnetism and Waves (Calculus)

This is a calculus based treatment of electromagnetism and optics, with an introduction to special relativity and quantum mechanics.

Credits: 4

Hours: 105(Lecture Hours 3; Seminars and Tutorials 1; Laboratory Hours 3)

Total Weeks: 15

Prerequisites:
PHYS 103 Mechanics (Calculus) OR equivalent

Non-Course Prerequisites:
None

Co-requisites:

MATH 102 Calculus II

Course Content:
Will include electric fields, Gauss' law, electric potential, capacitance, current and resistance, d.c. circuits, magnetic fields, Ampere's law, Faraday's law, a.c. circuits, electromagnetic waves, geometrical optics, interference and diffraction, quantum physics, and special theory of relativity.
- Introduction to Electric Fields, Coulomb's law, Electric field lines, Gauss's law
- Electric potential and its calculation for different set-ups, Capacitance
- Current and resistance, Current density, Ohm's law, Energy and power in electric circuits, A model for electric conduction, Semiconductors and superconductors
- Electromotive force, Calculating the current and potential difference, Multi-loop circuits, Measuring Instruments, RC Circuits
- The Magnetic Field, Definition of B, A moving charge in a magnetic field, Torque on a current loop, A magnetic dipole
- Ampere's law, Calculating the magnetic field, A current loop as a magnetic dipole
- Faraday's law of induction, Capacitors and inductors, an LR-circuit
- Magnetism and matter, Gauss's law for magnetism, Para-magnetism
- Electromagnetic oscillations, LC oscillations, Alternating currents, Some simple circuits
- Maxwell's Equations, Electromagnetic waves
- Quantum physics, Blackbody radiation, The photoelectric effect, Photons and electromagnetic waves, Introduction to quantum mechanics, The uncertainty principle, The Schrodinger equation, A particle in a box
- Geometrical optics, Interference, Diffraction

- Special theory of relativity, Einstein postulates, The Lorentz transformations, Relativistic momentum and energy

Learning Outcomes:
Upon successful completion of this course, students will be able to:
- Calculate electric field due a combination of point charges and continuous charge using vector and integration concepts and using Coloumb's law and Gauss' law
- Calculate electric potential energy of a set of point charges and continuous charge distribution
- Solve DC circuit problems involving combination of batteries and resistors
- Calculate magnetic field and find its direction due to combination of electric currents using Biot-Savart law and Ampere's law and vector and integration methods
- Use Right-Hand-Rule to find the force on a moving charge in an external magnetic field and discuss its motion
- Calculate induced "emf" and its direction using Lenz's law
- Describe the difference between diamagnetism, paramagnetism, and ferromagnetism
- Describe how alternating current is produced and calculate the peak and rms values of currents, voltages in ac-circuits containing combinations of series resistances, inductors, and capacitors
- Draw phasor diagrams for ac-circuits and calculate phase difference between current and voltage
- Derive a simple version of Maxwell's equation and solve the one-dimensional differential equation to find the solution for electromagnetic waves
- Describe different frequency ranges of electromagnetic waves and their properties

- Describe the important ideas of 20-century physics, including relativity, quantum mechanics and their effects on progress of science