1. Maxwell's equations
Poynting's theorem
time-harmonic fields

2. Maxwell’s equations

3. Poynting’s theorem

5. electromagnetic fields
Time harmonic
electromagnetic fields

6. Assume that the excitation signal is a time harmonic signal.
All electromagnetic fields will also
have a time harmonic variation.
Therefore:

8. Maxwell's equations

9. Maxwell's equations

10. Poynting's theorem
This was “0”
back in my
day also.
time average

11. Poynting's theorem

12. Poynting's theorem

13. Poynting's theorem
not equal to 0
equal to 0
real power

14. right hand rule
Poynting's theorem
power
lost power
stored energy

15. radiated electromagnetic power density,
These are:
radiated electromagnetic power density,
dissipated electromagnetic power density,
and stored electromagnetic energy density.
You must integrate the
equations over a
volume of interest.

16. Ames
Electric Power Plant
Ski Clone
Mountain.

17. Find the displacement current.
area A Vd

18. Phasor < = = > time domain

19. Phasor < = = > time domain

20. At what frequency will a
lossy dielectric
act like a conductor?
conduction
current
displacement
current

21. Show that the conduction current and the displacement current
differ in phase.

22. boundary conditions for time varying fields
tangential electric fields are continuous
normal components of
displacement flux density
differ by a
surface charge density

23. boundary conditions for time varying fields
tangential magnetic field intensities
differ by
a surface current density
normal components of
magnetic flux density
are continuous

24. Use the “right hand rule” with Poynting’s Theorem!