Electromagnetic Fields Flashcards
Permiability ε
The ability of a substance to support the formation of an electromagnetic field within itself
Magnetic Moment
Magnetic quantity that describes both the force and torque that a magnetic field will exert on an electric current
Premativity ε0
The ability of a resist to support the formation of an electromagnetic field within itself
Representing electromagnetic fields
Always in a vector field in continuous Structure
Electron behavior in a field
Moves from the positive end, orthogonal to the surface, to the negative end, at an angle orthogonal to the surface
Electromagnetic Field
A feedback loop between the electric field and the magnetic field, generated by the electric charges
Electromagnetic feedback loop
1) Electrical charges produce electrical and magnetic fields
2) The electrical field interacts with the magnetic field (opposite to the electrical field)
3) Field acts on particles in the surrounding space, creating forcefields (electrical force: same direction as electrical field, magnetic force: perpendicular to the magnetic field)
4) Particles begin to move, creating a current
5) Particle movement generates more fields
Electromagnetic Field vector components
Electrical: E(x,y,z,f)
Magnetic: B(x,y,z,f)
Isolated electrical field
Electrostatic field, never with a time component
Isolated magnetic field
Magnetostatic field, never with a time component
Maxwell’s equations
1) Gauss’ Law
2) Gauss’ Law for magnetism
3) Faraday’s Law
4) Ampere-Maxwell’s Law
Gauss’ Law
Electric flux of an object is equal to its charge divided by its permeability, or the surface integral of the electromagnetic field with respect to area
Φ=Q/ε=∫∫E⊙dA
Meaning the dot-product of the gradient and the electrostatic field is charge density over material permeability
∇⊙E=p/ε
Gauss’ Law for Magnetism
The dot-product of the gradient and the magnetostatic field is zero
∇⊙B=0
∫∫E⊙dA=0
Faraday’s Law
Curl of an electrostatic field is the negative differential equation for magnetostatic B over t
∇xE=-∂B/∂t
Ampere-Maxwell’s Law
Curl of a magnetostatic field is the sum of the current-density magnet-constant product and the (differential E with t)(magnet constant)(permeability constant)
∇xE=μJ+εμ(∂E/∂t)