ass2-solution

ass2-solution - R x x i s SOL SOL &...

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1/. (a) 2 energy storage devices: L , C 2 state variables: i (current through L ), q (charge on C ) i L R q CL V L L iR V V i q C R i R V i q C q V L i iR V V IN OUT IN OUT OUT OUT IN 1 1 2 2 1 1 1 1 = = = = = + = (b) [] [ ] 0 / 1 0 0 / 1 / 1 1 / 1 / 2 = = = = = D C B A x C L C R CL L R q i 2/. 3 energy storage devices: L , m , spring 3 state variables: i , x , x x output x x m bx x k i k x L k x iR V i k x iR L i e iR L i V S SOL SOL IN SOL b IN = = = = + + = + + = &
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[] [ ] 0 1 0 0 0 0 0 1 0 / / / 0 / / = = = = = D C B A x L m k m b m k L k L
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Unformatted text preview: R x x i s SOL SOL & & & In the steady state the solenoid is not moving and e b is zero. The steady state current is therefore V/R = 10A. This current produces a force of i * k SOL = 20N, which in turn produces a spring compression of F/k s = 0.025m. This is consistent with the results of the simulation....
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ass2-solution - R x x i s SOL SOL &...

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