The equivalent impedance between a pair of terminals is

(a) A voltage \(v(t)=20 e^{-1000 t} u(t)\) is applied across the terminals. Find the resulting current response \(i(t)\).
(b) Plot the pole-zero diagrams of the input source, the equivalent impedance, and the resulting current. What effect did the input have on the pole-zero diagram of the resulting current?

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Zeg(s) = 200 [s + 2000)