Section 6 2 TRƯỜNG ĐIỆN TỪ

Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni Narayana Rao Edward C Jordan Professor of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, Urbana, Illinois, USA Distinguished Amrita Professor of Engineering Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India 6.2 Line Terminated by Resistive Load 6.2-3 Notation I  z , t    V  t  z v p   V  t  z v p  Z0 V  z , t  V  t  z v p   V  t  z v p   V V  V  I I  I     V V I   , I   Z0 Z0 6.2-4 I+, I– + V+, V– P+, P– I+, I– z –    V  V     P V I V   Z0  Z0   V    V  P V I V     Z0  Z0        6.2-5 I+ = 0.1A + V+ = 5V 0.1 A P+ = 0.5 W  – 0.5 W 5V – I+ = –0.2A + V+ = – + –10 V 0.2 A P+ = W  – 10 V + 0.2 A 2W 6.2-6 I– = –0.12 A + 0.12 A  V– = V P– =0.72 0.72W P W  – + 6V – I– = 0.08A + V– – 0.72 W = –4 V 0.08 A P– = –0.32W  – 4V + 0.08 A 0.32 W 6.2-7 Excitation by Constant Voltage Source Semi-infinite Line, No Source Resistance V0 t=0 z=0 V – 0 Z0, vp  z V  z , t  V  t  z v p   I  z , t   V t  z v p  Z0 6.2-8 V 0, t  V0u t  V  t  V0u t  V  z , t  V  t  z v p  V0u t  z vp  V0 for t  z vp     0 for t  z vp   V0 for t  z vp  0 for t  z vp V0 for z  vp t  0 for z  vp t 6.2-9 V0 V(z) V0 t z/vp V(t) vpt z 6.2-10 Example: S t=0 V0 Z0, vp z=0 V0 10 V 10 z Z0 50  vp 3 10 m s z = 150 m V, V to  0.2 0.5 t, s I, A 0.5 t, s