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EE2120Tes4Sols

# EE2120Tes4Sols - Prepared by Dr Jorge L Aravena Last...

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Unformatted text preview: Prepared by Dr. Jorge L. Aravena. Last revised on November 28, 2001 1. The current through a 10oF capacitor is given by ‘ 6—0.572 t>0 zc<t>={ O tgo <mA> If the voltage across the capacitor is zero at t = 0, determine (a) (lOpts) The voltage across the capacitor as a function of the time, t, for t 2 O. (b) (5pts) The total energy stored in the capacitor (c) (5pts) The total charge stored in the capacitor '2 l -f 2 1? wT: J— C/ V‘Cloo} : _. IOKLzoo) = o. 2 3 M‘ﬁ '3'. CB 61 t: CV :2) 611—: ‘0 X 200C215. X‘OC Q: 2M0 Prepared by Dr. Jorge L. Aravena. Last revised on November 28, 2001 3 2. (20pts) Determine the total capacitance for the capacitor interconnection and the total in- ductance for the inductor interconnection shown in the ﬁgure. All capacitors are equal with a capacitance C’ = lO/rF. The inductors are all equal with an inductance of 201-1 __.____—__..___.._.__.___._——_————____.... Prepared by Dr. Jorge L. Aravena. Last revised on November 28, 2001 4 3. (20pts) For the circuit in the ﬁgure, write all the necessary algebraic and differential equa— tions necessary to determine all the node voltages. m ‘ Prepared by Dr. Jorge L. Aravena. Last revised on November 28, 2001 5 4. (20pts) For the circuit in the ﬁgure, it is known that at t = 0 the inductor has zero current ﬂowing through it. Determine (a) the value of the voltage vo(t) at t 2 0+ (b) the steady state value of the voltage vo(t) (c) the time constant of the circuit ) W Prepared by Dr. Jorge L. Aravena. Last revised on November 28, 2001 6 5. (20pts)In the circuit of the ﬁgure, R = 9M2. It is known that the capacitor holds no charge at t = 0. Determine (a) i0(0+) 6/3 (b) io<oo> . _, (c) the time constant T W \Jt’) : K‘ 1’ gas, €/ (d) the expression for io(t),t > O. ...
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