The Laplace transform function for the output voltage of a network is expressed in the following form:V_0(s) = (12(s+2))/(s(s+1)(s+3)(s+4))

sagnuhh

sagnuhh

Answered question

2021-09-21

The Laplace transform function for the output voltage of a network is expressed in the following form:
V0(s)=12(s+2)s(s+1)(s+3)(s+4)
​Determine the final value of this voltage. that is,
υ0(t) as t
a) 6V
b) 2V
c) 12V
d) 4V

Answer & Explanation

Liyana Mansell

Liyana Mansell

Skilled2021-09-22Added 97 answers

We will use the expression for final value of f(t):
f()=limsosF(s)
υ0()=limsos(12(s+2)s(s+1)(s+3)(s+4))
=limso(12(s+2)s(s+1)(s+3)(s+4))
=(12)(2)(1)(3)(4)
=2
The answer is B.

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