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Proof of Unequal/Asymmetric Division Through Wilkinson Divider

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promach

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For Unequal/Asymmetric Division Through Wilkinson Divider , how to derive the expressions for Zo2 , Zo3 and R ?

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The expressions can be obtained using the impedance matching conditions:
1/Z0 = Z0*K/Z02^2 + Z0/K/Z03^2
1/(Z0*K) = 1/R + Z0/Z02^2
K/Z0 = 1/R + Z0/Z03^2
Please note that the expressions for Z02 and Z03 are swapped.
 

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