Consider a capacitive divider shown in Figure 6.15. For an \(\mathrm{AC}\) input \(v_{\mathrm{i}}\), prove that the output voltage of the capacitive voltage divider is \(v_{0}=\frac{C_{1}}{C_{1}+C_{2}} v_{\mathrm{i}}\).

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FIGURE 6.15 Problem 8. C C Vo