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Tutorial Solution - Tutorial Q.1 solution 1 L1 2(s 1(s 2...

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Page 1 Tutorial Q.1 - solution Find Solution : ( ) ( ) + + 2 s 1 s 1 2 1 L ( ) ( ) ( ) 2 s c 1 s c 1 s c 2 s 1 s 1 3 2 2 1 2 + + + + + = + + ( ) ( ) ( ) ( ) 1 2 s 1 2 s 1 s 1 1 s ds d c 1 s 2 1 s 2 2 1 = + = + + + = = = ( ) ( ) ( ) 1 2 s 1 s 1 1 s c 1 s 2 2 2 = + + + = = ( ) ( ) ( ) 1 2 s 1 s 1 2 s c 2 s 2 3 = + + + = = ( ) ( ) t 2 t t 1 2 1 1 2 1 e te e 2 s 1 1 s 1 1 s 1 2 s 1 1 s 1 1 s 1 + + = + + + + + = + + + + + L L L L
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Page 2 Tutorial Q.2 – solution ( ) ( ) ( ) ( ) ( ) t 2 e 2 t 2 e 2 1 s 2 2 2 1 s 1 s 2 1 s 4 2 1 s 1 s 4 1 s 5 s 5 s 2 s 5 s t t 2 2 1 2 2 1 2 2 2 2 1 2 1 2 1 sin cos L L L L L + = + + + + + + = + + + + + + = + + + = + + +
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Page 3 Tutorial Q.3 - solution
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Page 4 • R=10 , L=1H, J=10kg-m 2 , T L =2Nm K g =36 v- s/rad, K m =10 Nm/Amp, Derive the differential equation for the current I What is the natural frequency and damping ratio?
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