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HW8
PROBLEM 1
The switch in the circuit shown in Fig. P1 has been closed a long time before
opening at t = 0.
a) What is the initial value of i0(t)?
b) What is the final value of i0(t)?
c) What is the time constant of the circuit for t ≥ 0?
d) What is the numerical expression for i0(t) when t ≥ 0+?
e) What is the numerical expression for v0(t) when t ≥ 0+?
PROBLEM 2
The voltage and current at the terminals of the capacitor in the circuit in Fig. P2 are
1
1
2
2
v(t) = (− +
−100 ) V, t ≥ 0;
i(t) = (-50×10-6) e-100t A, t ≥ 0.
a) Specify the numerical values of Vs, R, I0, and L.
b) How many milliseconds after the switch has been closed does the energy stored
in the inductor reach 9 J?
PROBLEM 3
The switch in the circuit shown in Fig. P3 has been closed for a long time before
opening at t = 0.
a) Find the numerical expressions for iL(t) and v0(t) for t ≥ 0.
b) Find the numerical values of vL(0+) and v0(0+).
…
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