Question: The voltage across a 10000-pF capacitor is (v_{mathrm{C}}(t)=100) (sin left(2 pi 10^{4} tight) mathrm{V}). Derive expressions for (i_{mathrm{C}}(t)) and (p_{mathrm{C}}(t)). Is the capacitor absorbing power,

The voltage across a 10000-pF capacitor is $v_{\mathrm{C}}(t)=100$ $\sin \left(2 \pi 10^{4} tight) \mathrm{V}$. Derive expressions for $i_{\mathrm{C}}(t)$ and $p_{\mathrm{C}}(t)$. Is the capacitor absorbing power, delivering power, or both?

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