Question: Design a series (R C) circuit using a de voltage source that delivers the following voltage across the capacitor for (t>0). [ v_{mathrm{C}}(t)=10 e^{-10000 t}

Design a series \(R C\) circuit using a de voltage source that delivers the following voltage across the capacitor for \(t>0\).

\[
v_{\mathrm{C}}(t)=10 e^{-10000 t} \mathrm{~V} \quad t \geq 0
\]

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