Consider the simple manometer that is shown in Figure 3. The characteristic differential equation of this system is given by: 2L d'h 164L dh A-P2 AP +h = 3g dt2 PD*g dt Where: L, u, g. p and D are constants. t is the independent variable and h is the dependent variable. Assume that the input for the system is X(t) where AP and the output is h. Pg X(t) Reference level /2 1) Derive the transfer function of this system in terms of (s) *(s) 2) Draw the MATLAB Simulink model Before (Initial) After (Final) for this system.. Figure (3)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Consider the simple manometer that is shown in Figure 3. The characteristic differential
equation of this system is given by:
2L dh 16uL dh
A-P2
AP
3g dt2
pD*g dt
Pg
Where: L, u, g. p and D are constants. t is
P,=0
P;=0
the independent variable and h is the
dependent variable. Assume that the
input for the system is X(t) where
AP
and the output is h.
Pg
X(t) =
Reference level
1) Derive the transfer function of this
h(s)
system in terms of
'x(s)'
2) Draw the MATLAB Simulink model
Before (Initial)
After (Final)
for this system.
Figure (3)
Transcribed Image Text:Consider the simple manometer that is shown in Figure 3. The characteristic differential equation of this system is given by: 2L dh 16uL dh A-P2 AP 3g dt2 pD*g dt Pg Where: L, u, g. p and D are constants. t is P,=0 P;=0 the independent variable and h is the dependent variable. Assume that the input for the system is X(t) where AP and the output is h. Pg X(t) = Reference level 1) Derive the transfer function of this h(s) system in terms of 'x(s)' 2) Draw the MATLAB Simulink model Before (Initial) After (Final) for this system. Figure (3)
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