Question

Express the waveform shown below in terms of the unit step function or the ramp function. 1. x(t) 0 2 4 t(sec) -10 Answer: x(t)= Express the waveform shown below in terms of the unit step function or the ramp function. 2. xt) 5 0 2 4 t(sec) -5 Answer: x(t)= LC 10

Answer 1

(t) I O t (sec) 4 2 -10 ope change fom to o onits at t-o thele i a So (10-0) U(t) 10 Uct) 10 to -1o Unuits slare chan fom at t-2 thee i u(t-2) (-10-10) U(t) 20 S0 to "o" vnits slope change fhom-10 at t-4 there i a 0-(-10)) U t-4) t0 Ult-4) 30 finally 10 (t)-20 Ut-2) + 1o U(t-4) x (t)

lepe charge thete is a at t-o Units 7te) 2. 2 Ft) SO (-0) t) 5 2 -5 step change at t 2 thele8 a units la to St at 5 - (+5)) U (t-2) -5 Ult-2) -|0 SO (4 to o' units slope change fom at t 4 thele is a (0-5t-4) hit-4) (-)4 U(t-2) 5t4) SO 2 2 eally x t)5 t(t) 2 - T0 2