rps04 - ECEN 2250 9-19-07 Circuits/Electronics 1 Fall 2007...

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ECEN 2250 Circuits/Electronics 1 Fall 2007 9-19-07 P. Mathys Recitation Problem Set 4 (For Tue. 9-25-07 recitation session) 1) The figure below shows a resistive Δ (“Delta”) network and a resistive Y (“Wye”) network. R X R Y R Z - v 1 + - v 2 + i 1 →← i 2 Y -network R A R B R C - v 1 + - v 2 + i 1 i 2 Δ-network Both networks are 2-ports that can be characterized by equations of the form i 1 = G 11 v 1 + G 12 v 2 , i 2 = G 21 v 1 + G 22 v 2 . For the Δ-network G 11 = R A + R C R A R C , G 12 = G 21 = - 1 R C , G 22 = R B + R C R B R C . For the Y -network G 11 = R Y + R Z R X R Y + R X R Z + R Y R Z , G 12 = G 21 = - R Z R X R Y + R X R Z + R Y R Z , G 22 = R X + R Z R X R Y + R X R Z + R Y R Z . Two 2-ports are said to be equivalent if both are characterized by the same set of conductance parameters G 11 , G 12 , G 21 , G 22 . Use the results given above to derive the
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rps04 - ECEN 2250 9-19-07 Circuits/Electronics 1 Fall 2007...

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