Question: A time-varying capacitor is characterized by the charge-voltage equation q(t) = C(t) v(t). That is, the capacitance is not a constant but a function of
A time-varying capacitor is characterized by the charge-voltage equation q(t) = C(t) v(t). That is, the capacitance is not a constant but a function of time.
(a) Given that i(t) = dq(t)/dt, find the voltage-current relation for this time-varying capacitor.
(b) Let C(t) = 1 + cos(2π t) and v(t) = cos(2π t)determine the current i1(t) in the capacitor for all t.
(c) 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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a The charge is qt Ct vt so that b If Ct 1 cos2 t and vt cos2 t the current ... View full answer
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