Hi,
I can´t see where it is stated that x(t) is a current.
And if x(t) is a current, then I expect y(t) to be a current, too.
Guessing x(t) is a current and guessing y(t) is a voltage ( yes I know it´s maybe the only way to give the circuit a meaningful function)
... is this the target of the homework?
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You don't need Rs and Cs in series to have a filter. This is a low pass filter. At low frequency, the capacitor is essentially infinite resistance. At high frequency the capacitor is essentially a short.
I can´t agree.
At low frequency there is finite impedance. Only at DC there is infinite impedance.
At high frequency there still is impedance. Only at infinte frequency there is a short.
(both is not the case with x(t))
And guessing that x(t) is a current... means there is a current source, which has infinite source impedance.
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So now one could say we don´t have to calculate with ideal parts ... but if not´it´s getting even more complicated...
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In the end I´d say
* either it´s a trick question
* or there is a lack of information.
Klaus