No Slide Title Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni Narayana Rao Edward C Jor[.]
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 6.4 Lines with ReactiveTerminations and Discontinuities 6.4-3 Line Terminated by an Inductor S Z0 V0 t = T+ IL t=0 z=0 Z0 , T IL 0 0 L z =l V0 V – – 2Z0 Z0 + V0 + V– – L 6.4-4 V0 V V0 0 V t T Z0 Z0 t T I.C – V0 V d V V – L – B.C dt 2 Z0 Z0 L dV V V0 Z0 dt Using I.C., V0 T V L V Ae Z 0T V0 V0 Ae L 2 6.4-5 Z0 T A V0 e L Z0 – (t – T ) V V – (l,t) – V0 e L t T – (l, t) V I – (l, t) – Z0 Z0 – (t – T ) V0 V0 – e L 2Z0 Z0 t T 6.4-6 Voltage =0 T T 2T (+) 3T (–) 3T (–) V 0/2 –V0/2 2T z V0 VL (+) V /2 –V 0/2 6.4-7 – = 0 T T –V 0/2Z0 2T 2T –V0/2Z0 (–) V0/2Z0 IL 3T 3T (+) (+) z l (–) V 0/2Z0 V0 Z0 6.4-8 V0/2 V V0 V V0/2 t = T/2 l/2 l/2 (+) (–) l t = 3T/2 l V V0/2 z t = 5T/2 (+) (–) z l z 6.4-9 V0/2Z0 I I t = T/2 (+) V0/2Z0 l/2 I t = 3T/2 l (–) (+) l/2 z t = 5T/2 V 0/2Z0 z l l/2 (–) l z 6.4-10 Line Terminated by a Capacitor S Z0 V0 t = T+ t=0 z=0 + Z0 , T VL (0–) 0 VL – z =l V0 V – – 2Z0 Z0 + V0 + V– – C 6.4-11 V0 V d V0 C V B.C Z0 Z0 dt V0 V0 0 V V t T t T dV – V0 – CZ0 V dt – t V V– Ae CZ0 I.C 6.4-12 Using I.C., T V0 V0 – Ae CZ0 – 2 – T A – V0 e CZ0 – (t – T ) V V – (l,t) – V0 e CZ0 t>T – (l, t) V I – (l, t) – Z0 V0 V0 – CZ (t – T ) – e Z0 Z0 t>T