Design a first-order (R C) circuit that will produce the following current through the capacitor: (i_{mathrm{C}}(t)=40 e^{-2000

Question:

Design a first-order $R C$ circuit that will produce the following current through the capacitor: $i_{\mathrm{C}}(t)=40 e^{-2000 t}$ $\mathrm{mA}$. The capacitor has an initial voltage of $-10 \mathrm{~V}$. You must use a $1-\mu \mathrm{F}$ capacitor.

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