The capacitor in Figure P6-13 carries an initial voltage (v_{mathrm{C}}(0)=-25 mathrm{~V}). At (t=0), the switch is closed,

Question:

The capacitor in Figure P6-13 carries an initial voltage $v_{\mathrm{C}}(0)=-25 \mathrm{~V}$. At $t=0$, the switch is closed, and thereafter the voltage across the capacitor is $v_{\mathrm{C}}(t)=-100+75 e^{-2000 t} \mathrm{~V}$. Derive expressions for $i_{\mathrm{C}}(t)$ and $p_{\mathrm{C}}(t)$ for $t>0$. Is the capacitor absorbing power, delivering power, or both?

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