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Signals and System Problem (Electrical Engineering) Please also do the Matlab pa

ID: 1813775 • Letter: S

Question

Signals and System Problem (Electrical Engineering)


Please also do the Matlab parts.


The ordinary differential equation related to x and y is : X(t)=iR+L*di/dt + Y(t)

A series RLC circuit is connected to a voltage source x(t). The output y(t) is taken across the capacitor. The negative side of x(t) and y(t) is the common ground. The values of the elements are: R=8.1250 Ohms, C= 1 farad, and L= 1.0 Henry. Suppose the input x(t) is given function of time for all time: x(t) = exp (t) where the bracket |*| means the magnitude of * . Derive the output y(t) for all time Sketch y(t) for all time. Write a matlab program to plot x(t) and y(t) for all time. Suppose the input xl (t) to the circuit is x1(t)= 4 exp (-j t) where j^2 = -1 Derive the corresponding steady state output y1 (t). Repeat abo/0Step for an input x2(t)= 4 exp (+j t) and derive y2 (t) . Suppose a new input x(t) = 4 cos (t) . Use the results of part and QPJ') to derive the steady state response y(t). Plot x(t) and y(t) as functions of time for 0

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