Question

The U.S. space shuttle docked with Russia's Mir space station several times. The electromagnet for opening a cargo door on the NASA space shuttle requires 0.1 A before activating. The electromagnetic coil is represented by L as shown in the figure below (which is a model of the solenoid actuator circuit). The activating current is designated ). The time period required for il to reach 0 1 A is t " 30 s. The current il (t) waveform should exhibit an underdamped response with a damping factor 1N2 (-0.707). Select suitable values of L and C to meet the design 1 V Description of the Situation and the Assumptions 1. The two switches are thrown at t·0, and the movement of the second switch from terminal a to terminal b occurs immediately. 2. The switches prior to t-0 were in position for a long time. Goal of the Design Project ermine the values of L and C so that the time period for the current i1㈦ to attain a value of 0.1 A is exactly equal to 3 s, and that the activating current i1(t) waveform exhibits an underdamped response with damping factor -12 0.707). Justify your design values for L and C with a set of supporting calculations. (No credit for your design without supporting calculations.) Your answer must include the following 1. Design value for L 2. Design value for C 3. Calculated value of response damping factor, ζ 4. Equation for i() S. Calculated value of solenoid current i1t) at t-3.0 seconds.

Answer 1

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foy to rm2 fon t o 4人 1H 4+S VCs SL11 a (s+%) for L=ly.

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