Consider an inductive divider shown in Figure 6.14. For an alternating current (AC) input \(v_{\mathrm{i}}\), prove that the output voltage of the inductive voltage divider is \(v_{\mathrm{o}}=\frac{L_{2}}{L_{1}+L_{2}} v_{\mathrm{i}}\).

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FIGURE 6.14 Problem 7. + O V Vo