Show that the describing function for the saturation element in the previous problem is given by [frac{B_{1}}{A}

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Show that the describing function for the saturation element in the previous problem is given by

\[\frac{B_{1}}{A} e^{j \phi_{1}}=\frac{2}{\pi}\left[\sin ^{-1}\left(\frac{1}{A}ight)+\frac{1}{A} \cos \left(\sin ^{-1}\left(\frac{1}{A}ight)ight)ight]\]

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