For (t geq 0), the zero-input response of the circuit in Figure (underline{mathrm{P}} 7-26) is (v_{mathrm{C}}(t)=20 e^{-10

Question:

For $t \geq 0$, the zero-input response of the circuit in Figure $\underline{\mathrm{P}} 7-26$ is $v_{\mathrm{C}}(t)=20 e^{-10 \mathrm{k} t} \mathrm{~V}$.

(a) Find $C$ and $i_{\mathrm{C}}(t)$ when $R=10 \mathrm{k} \Omega$.
(b) Find the energy stored in the capacitor at $t=2 \mathrm{~ms}$.
(c) Suppose the only capacitor you had available has a value of $0.022 \mu \mathrm{F}$. Could you achieve the same output by selecting a different $R$ ? How would the current change?

image text in transcribed