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ET-501 DC MOTOR CONTROL for polytechnic student
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CLOSED-LOOPLECTURER’SNAME:SAIFUL NIZAM BIN SA’ARIJKE 013-6812544
CHAPTER 3
Objectives
1) Able to find Laplace Transform for:a) Unit Stepb) Unit Rampc) Sinusd) Cosine
2) Able to transform RLC circuit in (t) domain to (s) domain
UNIT STEP
f(t) = 1 t 0
f(t) = 0 t 0
F(t)=t
UNIT RAMP
SINUS
Eula’s Law:
sttjtj eeej
t 21sin
F(t)=sinωt
SINUS
COSINE
Eula’s Law:
sttjtj eeet 21cos
F(t)=cosωt
COSINE
Objective of subtopic1) Able to convert (t) domain to (s) domain in
series and parallel circuit.
2) Able to calculate
APPLICATION LAPLACE IN ELECTRIC CIRCUIT
)()(sVinsVout
No. Components (t) Domain (s) Domain
1
2
3
)()( tRitVR
dttdiLtVL)()( )()( SLSItVL
dttiC
tVc )(1)( )]([1)( SICS
tVc
)()( SRISVR
Example 1:
Example 2
Find ? )()(sVinsVout
CSRCSSISVi
CSRSISVi
SICS
SRISVi
dttiC
tRitVi
tVtVtVi CR
1)()(
1)()(
)]([1)()(
)(1)()(
)()()(
Eqn. 1
)]([1)(
)()(
SICS
SVo
SVSVo C
Eqn. 2
11
)()(
1)(
1)(
)()(
RCSSViSVo
CSRCSSI
CSSI
SViSVo
EXAMPLE 3
Find ? )()(sVinsVout
EXAMPLE 4
Find ? )()(sVinsVout
EXAMPLE 5
Find ? )()(sVinsVout