A time -varying capacitor is characterized by the


A time -varying capacitor is characterized by the charge-voltage equation. That is, the capacitance is not a constant but a function of time.

Given that i(t) =dq(t)/dt, find the voltage-current relation for this time varying capacitor.
Let C(t)=1+cos(2*pi*t) and v(t)=cos(2*pi*t). Determine the current i1(t) in the capacitor for all t.
Let C(t) be as above, but delay v(t) by 0.25 sec. Determine i2(t) for all time. Is the system TI?

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Electrical Engineering: A time -varying capacitor is characterized by the
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