Question

$F\left(s\right)=\frac{(1-e^{sT})}{s}$ is the Laplace transform of

• A. a pulse of width T
• B. a square wave of period T
• C. a unit step delayed by T
• D. a ramp delayed by T

Answer 1

The correct option is A a pulse of width T

$F\left(s\right)=\frac{1-e^{-sT}}{s}=\frac{1}{s}-e^{-sT}\left(\frac{1}{s}\right)$
$\therefore$ $f\left(t\right)=u\left(t\right)-u(t-T)$