If f(t) is a T-periodic, piecewise continuous fuention for t2 0 then C[F(t)] = 8> 0. 1-e-T Prove the above theorem where f(t) is (a) periodic function where fr is repeated periodically with period T [ Hints: f(t) = Er-nT)] %3D (b) Please use, the above theorem to calculate f(t) as train of impulse su-nT) (c) Next use the above theorem: State the period of the function f(t) and find its Laplace transform where sin t, 00. 0, TSt< 2T

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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If f(t) is a T-periodic, piecewise continuous fuention for t2 0 then
C[F(t)] =
8> 0.
1-e-T
Prove the above theorem where f(t) is
(a)
periodic function where fr is repeated periodically
with period T [ Hints: f(t) = Er-nT)]
%3D
(b)
Please use, the above theorem to calculate f(t)
as train of impulse su-nT)
(c) Next use the above theorem:
State the period of the function f(t) and find its Laplace transform where
sin t, 0<t<
f(t) =
f(t + 27) = f(t), t>0.
0,
TSt< 2T
Transcribed Image Text:If f(t) is a T-periodic, piecewise continuous fuention for t2 0 then C[F(t)] = 8> 0. 1-e-T Prove the above theorem where f(t) is (a) periodic function where fr is repeated periodically with period T [ Hints: f(t) = Er-nT)] %3D (b) Please use, the above theorem to calculate f(t) as train of impulse su-nT) (c) Next use the above theorem: State the period of the function f(t) and find its Laplace transform where sin t, 0<t< f(t) = f(t + 27) = f(t), t>0. 0, TSt< 2T
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