The course starts with an introduction to the
basic concepts of electric charge and electric field. Just as
the gravitational field makes it easy to calculate the force on
a mass placed in the field (F = mg), knowing value of the electric
field, caused by electric charges, makes it easy to calculate
the force on a charge placed in an electric field (F = qE).
Then basic electrical circuits are covered where
students gain a working knowledge of the concepts of electric
charge, electric current, and voltage - topics covered in the
early lab exercises. Simple calculations regarding the relationship
among voltage, current, and electrical resistance in circuits
are learned. Elementary circuit analysis techniques are studied
to determine power dissipated in electrical resistors in more
complex circuits.
The concept of force between electric charges,
positive and negative, is studied. Calculations involve the addition
and subtraction of vector quantities. Vector addition, subtraction,
and multiplication (dot product and cross product) will be used
EXTENSIVELY during the rest of the semester. Students have learned
these topics in Mechanics (Physics 50/70) but should review /
learn them now before we start to use them. Forces between charges
give rise to the movement of the charges and hence electric currents.
Calculating the electric field caused by one or
two electric charges is fairly simple, but calculation of the
field caused by a distribution of many electric charges is more
complicated and will require the use of integral calculus (Math
31 is a prerequisite for this course). Using Gauss' Law makes
the integrals really simple and the calculation easy. Also, one
can calculate the field by first calculating the electrical potential,
a scalar quantity related to the potential energy - a concept
learned in Mechanics (Physics 50/70). As an application of electric
fields, soot particles are removed from industrial smoke stacks
by having electric fields in the stacks that exert horizontal
forces on the electrically charged soot particles. And electrons
moving inside a TV or computer monitor toward the screen are deflected
horizontally and vertically to form images in the phosphor coating
on the screen interior.
The magnetic field, another vector quantity, is
caused by electric charges that are moving with a velocity, either
in an electric current or in space, like the charged cosmic particles
that arrive on Earth from the sum. Calculation of the magnetic
field generally involves integral calculus, but Ampere's Law makes
these integrals simple. Magnetic fields are essential for the
operation of electric motors and computer memory.
Voltages can be induced, or generated, in a wire
loop by varying the magnetic fields near them. These generated
voltages produce electromotive forces and induced, or generated,
electrical currents. Faraday's Law governs the generators used
by power plants to produce electricity so important in our modern
technological lifestyle.
With a knowledge of electric and magnetic fields
and the energy associated with them we can understand and analyze
how alternating current (AC) circuits work. These circuits provide
the high frequencies necessary to operate our cell phones, TV
stations, and other communications systems.
The course ends with a discussion of Maxwell's
equations, most of which we will already have used in the course.
These equations provide the basis for all of electromagnetic theory
and predict the propagation of the electromagnetic waves (radio,
TV, microwave, x-rays, light) used in our communications systems
and optical devices and systems.