EEE340Lecture 351 This is “Poyntings theorem” The Poynting vector (watts/m 2 ) instantaneous If we assume that then (8-83) (8-92)

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Presentation transcript:

EEE340Lecture 351 This is “Poyntings theorem” The Poynting vector (watts/m 2 ) instantaneous If we assume that then (8-83) (8-92)

EEE340Lecture Instantaneous versus time average power densities (Poynting vectors) The total time-average power crossing a given surface S: (8-96) (8-94)

EEE340Lecture 353 Example 8-8 Hertz dipole antenna A very short vertical current located at the origin has far-zone fields Find: a) Poynting vector b) Total radiated power Solution

EEE340Lecture 354 a). The power density in the time-domain is b). The average power density Total power radiated

EEE340Lecture : Normal Incidence at Plane Conducting Boundary Incident fields Reflected Total field (8.98) (8.99) (8.100) (8.101) PECPEC x z

EEE340Lecture 356 Boundary Condition: tangential E vanishes i.e. Hence Eq (8.101) becomes (8.102)