Give complete solution please, with all steps, otherwise thumb will go down. Thank you in advance. Consider a first order low-pass filter given by the following circuit. If
x(t)
is a square wave with frequency equal to
50KHz
, ranging from 0 to 2 volts, and with the origin being such that the maximum value occurs at the origin and the signal is an even function, determine the Fourier series for
x(t)
. a) Give an expression for the output,
y(t)
, in the time domain. b) Give an expression for the output,
y(t)
, in the frequency domain. c) Consider a
40dB
definition of bandwidth, i.e. all out-of-band frequency components are lower than
-40dB
relative to the main
AC
in-band component, what is the bandwidth of the output signal? d) Determine the average power of the input signal. e) Determine the average power of the output signal.