Download TIME VARYING AND TIME HARMONIC ELECTROMAGNETIC

TIME VARYING AND TIME HARMONIC
ELECTROMAGNETIC FIELDS
Maxwell’s Equations:
where
Each of these quantities are assumed to be time varying and each is a
function of the space coordinates and time.
Definitions of the quantities are
Continuity Equation:
Integral form of the Maxwell’s equations:
Constitutive Parameters and Relations:
Circuit-Field Relations:
Kirchoff’s Voltage Law:
Kirchoff’s Current Law:
Element Laws:
Boundary Conditions:
Power and Energy:
Using the vector identity
Differential and Integral forms of the Conservation of Energy
(power density W/m2)
(Total power W)
Other Terms:
where
Integrating each term,
where
Then,
Time Harmonic Electromagnetic Fields: