Exam #1 Flashcards
Vector Calculus, Electrostatic Fields
What does Static means?
time invariant
What is a Vacuum?
Free Space
The Electrostatic field is produced by
static charge distribution
Coulumbs Law states that the force between two charge is
- among the line joining them
- Directly proportional to the product q1q2
- Inversely proportional to the square of the distance R between them
The Force between two charges is measured in
Coulumbs [C]
F21 is the force on…
Q2 due to q1
Couloumbs Law is -mathematically -
F=k(q1q2)/r^2
Suporposition apply to
Electrostatic force, electric field and electric potential for a charge
electric field intensity is denominated by
E and it is a vector
E goes in the direction of
Electrostatic force F
Electrostatic field mathematical
F/Q=E (vector)
E at a point r due to a charge at r’
E=kQ(r-r’)/|(r-r’)|^3
line charge density units
C/m
surface charge density units
C/m^2
volume charge density units
C/m^3
For a line charge (finite), E is
(line charge density)/2πE0rho
The electric flux density is D
D=E0E (E0 is the dielectric at free space)
The volume density charge is
equal to the divergence of D
Continuos charge distribution symmetry depends
(rectangular) if only depends on x or y or z at once
(cylindrical) if only depends on rho
(spherical) if only depends on r
When the surface is not symmetric
E nor D can be determined