, 02.12.2019 19:00 king845

# [complex numbers application: transfer functions] you will deal with many "transfer functions" in your career as an electrical and computer engineer. the transfer function tells how the input and output are related for a given system. here is an example from the first midterm in ece 310, with some extra scaffolding for you, of course. suppose that i have an input signal of the form x(t) = a1e s1t + a2e s2t + . . + an e sn t . (note that the si will be complex! ) input to a system with transfer function h(s). then, the output of the system is given by y(t) = a1h(s1)e s1t + a2h(s2)e s2t + . . + an h(sn )e sn t . consider a system with transfer function h(s) = s 2 + 1 1.5s and voltage input v1(t) = 4 cos(2t). we will find the output voltage v2(t) in three steps. (a) write v1(t) in the form v1(t) = a1e s1t + a2e s2t + . . + an e sn t (i. e. write the cosine as a sum of complex exponentials.) (b) use y(t) = a1h(s1)e s1t +a2h(s2)e s2t +. .+an h(sn )e sn t , with the specific h(s) above, to write v2(t) as a sum of complex exponentials. (c) covert v2(t) back to be in the form of a cosine.

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Engineering, 04.07.2019 17:20
Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)