Lect37TLReactive - TL Circuits with Reactive Elements L e c...

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Cunningham ECE329 Lecture 37 TL Circuits with Reactive Elements Lecture 37
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Cunningham ECE329 Lecture 37 Z 0 z=0 z=l L Z 0 V 0 t=0, close T What happens? • A “+” wave originates at t=0 • The + wave travels down the TL until it reaches the end at time T • The wave meets the inductor and a reflected “-” wave begins • The V - and I - waves will be a function of time, because of the inductor No initial charge or current
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Cunningham ECE329 Lecture 37 Z 0 z=0 z=l L Z 0 V 0 T V + I + V + = V 0 2 I + = V + Z 0 = V 0 2 Z 0 t=0+
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Cunningham ECE329 Lecture 37 Z 0 z=0 z=l L Z 0 V 0 T V + + V - (t) t=T+ I + + I - (t) V + = V 0 2 I + = V + Z 0 = V 0 2 Z 0 I " = " V " ( t ) Z 0 For the inductor: V = L dI dt
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Cunningham ECE329 Lecture 37 Two ways to solve • Rigorous mathematical method – We will do this first • Shortcut method
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Cunningham ECE329 Lecture 37 Diff Eqn for the Inductor V = L dI dt ( V + + V " ( t )) = L d ( I + + I " ( t )) dt V 0 2 + V " ( t ) = L d dt V 0 2 Z 0 " V " ( t ) Z 0 # $ % ( V 0 2 = " L Z 0 dV " ( t ) dt " V " ( t ) We have to solve this for V - (t)
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This note was uploaded on 01/17/2011 for the course ECE 305 taught by Professor Staff during the Summer '08 term at Michigan State University.

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Lect37TLReactive - TL Circuits with Reactive Elements L e c...

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