A time-varying capacitor is characterized by the charge-voltage equation q(t) = C(t) v(t). That is, the capacitance

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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.

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 28, 2018 10:34 AM

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A time-varying capacitor is characterized by the charge-voltage equation q(t) = C(t) v(t). That is, the capacitance

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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 the full answer

Signals and Systems using MATLAB

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