The impulse response h (t) of an LTI system is given by e-2t.u(t) . What is the step response?

Question

TuteeHUB · Accepted Answer

y(t) = ¹‚Äö√Ñ√∂‚àö√ñ‚àö√´₂ (1 ‚Äö√Ñ√∂‚àö√ë‚àö¬® e^-2t)

TuteeHUB · Answer

y(t) = 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 (1 ‚Äö√Ñ√∂‚àö√ë‚àö¬® e-2t) u (t)

TuteeHUB · Answer

y(t) = 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 (1 ‚Äö√Ñ√∂‚àö√ë‚àö¬® e-2t)

TuteeHUB · Answer

y(t) = (1- e-2t) u (t)

TuteeHUB · Answer

y(t) = 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 (e-2t) u (t)

1.	The impulse response h (t) of an LTI system is given by e-2t.u(t) . What is the step response?
A.	y(t) = <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> (1 ‚Äö√Ñ√∂‚àö√ë‚àö¬® e<sup>-2t</sup>) u (t)
B.	y(t) = <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> (1 ‚Äö√Ñ√∂‚àö√ë‚àö¬® e<sup>-2t</sup>)
C.	y(t) = (1- e<sup>-2t</sup>) u (t)
D.	y(t) = <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> (e<sup>-2t</sup>) u (t)
Answer» B. y(t) = <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> (1 ‚Äö√Ñ√∂‚àö√ë‚àö¬® e<sup>-2t</sup>)

Discussion