Question

Convert the given circuit from y to δ. Assume R₁ = 14 Ω, R₂ = 18 Ω, and R₃ = 14 Ω.

a) δ = y + R₁/R₂
b) δ = y - R₁/R₂
c) δ = y + R₂/R₃
d) δ = y - R₂/R₃

Answer 1

The student's request for a conversion from a Y circuit to a Delta circuit involves utilizing Y-to-Δ transformation formulas, which are based on the resistances in the Y configuration to calculate the equivalent Delta configuration resistances.

Step-by-step explanation:

The question asks to convert a given Y circuit to an equivalent Δ (Delta) circuit using the given resistances R₁, R₂, and R₃. However, the student provided an equation Δ = Y - R₂/R₃ which does not align with the standard Y-to-Δ transformation formulas. In Y-to-Δ transformations, each Δ resistor value can be calculated through a combination of the Y resistances. The formulas are as follows:

• Rab = (RY1 × RY2 + RY2 × RY3 + RY1 × RY3) / RY3
• Rbc = (RY1 × RY2 + RY2 × RY3 + RY1 × RY3) / RY1
• Rca = (RY1 × RY2 + RY2 × RY3 + RY1 × RY3) / RY2

Where Rab, Rbc, and Rca are the resistances in the Δ configuration and RY1, RY2, and RY3 are the resistances in the Y configuration.