(a) Find the inverse Laplace transform of (b) A voltage source Ve t sin t is applied...

Question:

(a) Find the inverse Laplace transform of

1 (s + 1)(s + 2)(s + 2s + 2)

(b) A voltage source Ve^–tsin t is applied across a series LCR circuit with L = 1, R = 3 and C = 1/2.

Show that the current i(t) in the circuit satisfies the differential equation

di dt di + 3 + 2i = Ve sin t dt

Find the current i(t) in the circuit at time t ≥ 0 if i(t) satisfies the initial conditions i(0) = 1 and (di/dt)(0) = 2.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 19, 2024 02:05 AM

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(a) Find the inverse Laplace transform of (b) A voltage source Ve t sin t is applied...

Question:

1 (s + 1)(s + 2)(s + 2s + 2)

Step by Step Answer:

a b Al Thus 1 s 1s2s 2...View the full answer

Modern Engineering Mathematics

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