Determine the final value of this voltage. that is,

a) 6V

b) 2V

c) 12V

d) 4V

sagnuhh
2021-09-21
Answered

The Laplace transform function for the output voltage of a network is expressed in the following form:

$V}_{0}\left(s\right)=\frac{12(s+2)}{s(s+1)(s+3)(s+4)$

Determine the final value of this voltage. that is,

${\upsilon}_{0}\left(t\right)$ as $t\to \mathrm{\infty}$

a) 6V

b) 2V

c) 12V

d) 4V

Determine the final value of this voltage. that is,

a) 6V

b) 2V

c) 12V

d) 4V

You can still ask an expert for help

Liyana Mansell

Answered 2021-09-22
Author has **97** answers

We will use the expression for final value of f(t):

$f\left(\mathrm{\infty}\right)=\underset{s\to o}{lim}sF\left(s\right)$

${\upsilon}_{0}\left(\mathrm{\infty}\right)=\underset{s\to o}{lim}s\left(\frac{12(s+2)}{s(s+1)(s+3)(s+4)}\right)$

$=\underset{s\to o}{lim}\left(\frac{12(s+2)}{s(s+1)(s+3)(s+4)}\right)$

$=\frac{\left(12\right)\left(2\right)}{\left(1\right)\left(3\right)\left(4\right)}$

$=2$

The answer is B.

The answer is B.

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