(Solved): B- The Wye - Delta \( (Y-\Delta) \) Transformation - The \( Y-\Delta \) transformation is the dual ...

B- The Wye - Delta \( (Y-\Delta) \) Transformation - The \( Y-\Delta \) transformation is the dual of the \( \boldsymbol{\Delta}-\boldsymbol{Y} \). For this case the new resistances are defined as given below. Figure 3. The Wye - Delta Transformation a) The circuit in fig. 4a) is called a Y-Bridge Circuit. Perform a Wye-Delta transformation to the Y-Bridge circuit. Calculate the values of \( R_{1}, R_{2} \), and \( R_{3} \) for the transformed network. Add a sheet of paper to show all your calculations in a neat and clear way. Show the equations for \( R_{1}, R_{2} \), and \( R_{3} \) in function of \( R_{A}, R_{B} \), and \( R_{c} \). Indicate the units. Consider the following values: \[ \mathrm{R}_{\mathrm{A}}=2 \mathrm{k} \Omega, \mathrm{R}_{\mathrm{B}}=1 \mathrm{k} \Omega, \mathrm{R}_{\mathrm{C}}=1.5 \mathrm{k} \Omega, \mathrm{R}_{4}=2 \mathrm{k} \Omega, \mathrm{R}_{5}=1 \mathrm{k} \Omega, \mathrm{R}_{6}=1.5 \mathrm{k} \Omega \text {, and } \mathrm{V}_{\mathrm{S}}=12 \mathrm{~V} \] \( \mathrm{R}_{1}= \) \( \mathrm{R}_{2}= \) \( R_{3}= \) Figure 4a. Y-Bridge Circuit