T t 0 y y 0e x s xse xs y t y

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: t 0 y (t ) = [ y (0) y ( )]e t • 0 t/ + y ( ) for t 0 (with y ( ) = X S ) y (t ) = [ y (0) y ( )]e • • t/ + y ( ) for t 0 • y (t ) = [ y (0) y ( )]e t/ + y ( ) for t y transient (t ) = [ y (0) y ( )]e y (t ) = [ y (0) y ( )]e t/ for t / 0 (with y ( ) = X S ) 0 (with y ( ) = X S ) + y ( ) for t 0 (with y ( ) = X S ) y (t ) = y transient + y steady for t state y transient = [ y (0) y ( )]e y steady state = y ( ) 0 t/ for t 0 • y transient = y (0)e t/ y ( )e • y steady state = y( ) = XS t/ for t 0 VS = Ri (t ) + L i (t ) = VS + I0 R di (t ) for t dt VS e R t/ 0 for t VS u (t ) = Ri (t ) + L 0 di (t ) dt i (t ) = VS VS e + I0 R R t/ for t 0 i (t ) = VS VS e + I0 R R v (t ) = L di (t ) = (VS dt t/ for t 0 t/ for t I 0 R)e 0 C vC (t ) = I S R + (V0 I S R)e iC (t ) = C dvC = (I S dt t/ V0 )e R for t t/ for t 0 0 dvC vC + = I S for t dt R 0 C dvC vC + = I S u (t ) dt R vC (t ) = I S R + (V0 I S R)e iC (t ) = C dvC = (I S dt t/ V0 )e R for t t/ for t 0 0 • • • • • • • • • • • • v aux 10K v i = aux 20K i aux = 7i + i i aux = v aux 10K 6 v aux = v aux (0.1 10 20 K v aux = 5K i aux 3 0.3 10 3 ) • iC = i R i v O (t ) = R i (t ) dv (t ) i (t ) = C I dt dv I (t ) vO (t ) = RC dt • • • • iC = i R i v (t ) i (t ) = I R dv (t ) i (t ) = C O dt 1t vO (t ) = v I (t ) dt + vO (0) RC 0 • • • vO (t ) = VI t + vO (0) RC • dvO (t ) VI = dt RC • • • • • 1t vO (t ) = v I (t ) dt + vO (0) RC 0 • • • •...
View Full Document

This document was uploaded on 01/24/2014.

Ask a homework question - tutors are online