2Electrostatics

IB Electromagnetism

2 Electrostatics

Electrostatics is the study of stationary charges in the absence of magnetic

fields. We take

ρ

=

ρ

(

x

),

J

= 0 and

B

= 0. We then look for time-independent

solutions. In this case, the only relevant equations are

∇ · E =

ρ

ε

0

∇ × E = 0,

and the other two equations just give 0 = 0.

In this chapter, our goal is to find

E

for any

ρ

. Of course, we first start with

simple, symmetric cases, and then tackle the more general cases later.