Assume that the RL circuit given below is a causal, linear time invariant system. (LTI) Take it as R= L. Assuming that the input of this system is x (t) = i: the source current and the output is the current y (t) = i2 through the coil a-) Calculate the fourier transform Y (w) of the output for the input x(t) = 2e-2tu(t). b-) Find the relevant y (t)

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signal and systems

Assume that the RL circuit given below is a causal, linear time invariant system. (LTI)
Take it as R= L.
Assuming that the input of this system is x (t) = i: the source current and the output is
the current y (t) = i2 through the coil
a-) Calculate the fourier transform Y (w) of the output for the input x(t) = 2e-2tu(t).
b-) Find the relevant y (t)
i(4)
R-
Transcribed Image Text:Assume that the RL circuit given below is a causal, linear time invariant system. (LTI) Take it as R= L. Assuming that the input of this system is x (t) = i: the source current and the output is the current y (t) = i2 through the coil a-) Calculate the fourier transform Y (w) of the output for the input x(t) = 2e-2tu(t). b-) Find the relevant y (t) i(4) R-
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