In Sl units, the position x of a spring-loaded electromagnetic valve varies over time t in the manner described by the 2nd order ODE * + aż + (B + K)x = K The term on the RHS is designed so that, if x is disturbed from its rest position, then it automatically returns, ideally, after a short period of time with no overshoot. When a = 1,8 = 1 and K = the rest position of the system is x = a) Suppose that this system is at rest for the period 0 st < 3, but at t = 3 the system is disturbed. Solve the ODE 'by hand' with initial conditions x(3) =and i(3) = 2; and plot x against t for the period 0 sts 20 on a fully labelled graph to show that the system does indeed settle back down to the rest position of (remember, x = for the period 0st < 3, while your solution applies to the period 3sts 20).

In Sl units, the position x of a spring-loaded electromagnetic valve varies over time t in the manner described by the 2nd order ODE * + aż + (B + K)x = K The term on the RHS is designed so that, if x is disturbed from its rest position, then it automatically returns, ideally, after a short period of time with no overshoot. When a = 1,8 = 1 and K = the rest position of the system is x = a) Suppose that this system is at rest for the period 0 st < 3, but at t = 3 the system is disturbed. Solve the ODE 'by hand' with initial conditions x(3) =and i(3) = 2; and plot x against t for the period 0 sts 20 on a fully labelled graph to show that the system does indeed settle back down to the rest position of (remember, x = for the period 0st < 3, while your solution applies to the period 3sts 20).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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