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# [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. ### Another question on Engineering 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) Engineering, 04.07.2019 17:20
Aheavily insulated piston-cylinder device contains 0.02 m3 of steam at 300 kpa and 200 °c. 1.2 mpa. d this process. team is now compressed in a reversible manner to a pressure of etermine the entropy change and the work done on the steam during this process Engineering, 04.07.2019 17:20
A2-m rigid tank initially contains saturated water vapor at 100 kpa. the tank is connected to a supply line through a valve. steam is flowing in the supply line at 600 kpa and 300 c. the valve is opened, and steam is allowed to enter the tank until the pressure in the tank reaches the line pressure, at which point the valve is closed. a thermometer placed in the tank indicates that the temperature at the final state is 200°c. determine (a) the mass of steam that has entered the tank (b) the amount of heat transfer. Engineering, 04.07.2019 17:20
Oxygen at 300 kpa and 400 k is in a closed system with an initial volume of 0.1 m3. it is now compressed in a polytropic process, with exponent of n 1.2, to a temperature of 500 k. calculate: a) the boundary work done during the compression, in kj
[complex numbers application: transfer functions] you will deal with many "transfer functions" in y...
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