To Recapitulate

1
To Recapitulate
Vector algebra Addition Multiplication by a
scalar Scalar product Vector product For
examples see Solved Problems in Vector Algebra
online. No coordinates required nor even
desirable at this point!
2
Electrostatics

• Today well venture into Electrostatics the
  science of static or slowly moving charges where
  the magnetic effects can be ignored.
• The charges may be
• located at the surface of a conducting body
• embedded inside an insulator,
• floating throughout the volume of the plasma,
• diffusing thru a semiconductor,
• or be tied to a molecule as in dielectric
  polarization.
• Electrostatics provides the answers to question
  involving
• Electrostatic forces and energy
• Charge distribution
• Capacitance
• Dielectric polarization

3
Who was Monsieur Coulomb?
Charles Augustin Coulomb, 1790 Mathematician? Phy
sicist? Engineer!
Distance 1 ½ ¼ Force 1
4 16
4
Vector Talk

• Force between two point charges is
• inversely proportional to the square of the
  distance between the charges,
• parallel to the straight line joining the two
  charges,
• directly proportional to the charge of each,
• repulsive if the charges are of the same
  polarities, and
• attractive if the charges are of opposite
  polarities.

5
Electric Field Vector
Let
then
Vector function of the vector argument.
Electric field lines
Electric field vector is everywhere tangential to
the electric field lines. Can the E-field line
cross?
6
Charge Distributions

• Point charges
• Line charges
• Surface charge
• Volume charges