Project ForgeEngineering Mathematics
Differential Equations
GATE 2010
Medium
The Laplace transform of a rectangular pulse of height V, extending from t=a to t=b, is
- AVe^(a−b)s/s
- B(V/s)(e^(−bs)−e^(−as))
- (V/s)(e^(−as)−e^(−bs))
- D(V/s²)(e^(as)−e^(bs))
Explanation
The pulse is V×[u(t−a)−u(t−b)]. Since L{u(t−a)}=e^(−as)/s, the transform is (V/s)(e^(−as)−e^(−bs)).
Source: GATE CH 2010 (2010)
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