The first reference to electrical effects, such as static electricity and
lightning, were recorded over 2500 years ago. Ancient man believed electricity
to be a form of magic; Greek philosophers noticed that when a piece of amber
was rubbed with cloth, it would attract pieces of straw; Indian priests used
electromagnets to impress religious followers. Far from demystifying the
mechanics of Electricity and Magnetism, this class aims to introduce students to the
full beauty and elegance of this field of physics by theoretical discussion and
by experimentation. In 1861 James C. Maxwell summarized almost everything we
know about Electricity and Magnetism in four equations:
ϵ0◯∫∫E⋅ds=∫∫∫qvdVμ0◯∫∫B⋅ds=0∮E⋅dl=−μ0ddt∫∫B⋅ds∮B⋅dl=I+ϵ0ddt∫∫E⋅ds
These four equations describe one of the most universal and elegant relations in
physics. Don't let the notation scare you off -- this class has no
prerequisites (that is, all you have to be able to do is graph a function), but we will rigorously derive Maxwell's explanation of electromagnetic phenomena including light,
electricity, magnets, motors and generators, batteries, and the circuitry of
your home computer. (See syllabus.) Labs will include a Van de Graaff generator,
making solenoids, making an electric motor, and playing with bread board
circuitry.
Prerequisites
A familiarity with high school Algebra and Geometry. Additionally, this class will move through basic calculus and multivariable calculus very quickly and lecture segments will, in general, be very fast paced. Come prepared to
think hard and abstractly!