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Electric Circuits and Networks, Ist Edition by Pearson
book

Electric Circuits and Networks, Ist Edition by Pearson

by K. S. Suresh Kumar
May 2024
Intermediate to advanced content levelIntermediate to advanced
840 pages
45h 20m
English
Pearson India
Content preview from Electric Circuits and Networks, Ist Edition by Pearson
15.7 SOME THEOREMS ON LAPLACE TRANSFORMS
The property of linearity of Laplace transforms was already noted and made use of in earlier
sections. We look at other interesting properties of Laplace transform in this section.
15.7.1 Time-shifting Theorem
If v(t) f(t) u(t) has a Laplace transform V(s) then v
d
(t) v(t t
d
) f(t t
d
) u(t t
d
) has
a Laplace transform .
The shifting operation implied in this theorem is illustrated in Fig. 15.7-1. Note that
there is a difference between f(t – t
d
) u(t) and f(t – t
d
) u(t – t
d
). Time-shifting theorem for
unilateral Laplace transform works properly for f(t – t
d
) u(t – t
d
) but not for f(t – t
d
) u(t).
This theorem ...
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Publisher Resources

ISBN: 9781299447028