Equations and Conversions in Electrical Circuits
"Learn how to convert between different circuit configurations like Y and delta, understand total resistances, and derive conversion equations in electrical circuits. Examples and illustrations included."
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Lect. 10 Lect. 10 - -Y Y- - (T AND AND - -Y (P Y (P- -T) CONVERSIONS T) CONVERSIONS conversion (T- -P) P)
be the same with the configuration inserted in place of the Y configuration (and vice versa).
Developing the equations for converting from to Y, or vice versa Developing the equations for converting from to Y, or vice versa. . If the two circuits are to be equivalent, the total resistance between any two terminals must be the same. Consider terminals a-c in the - Y configurations in Fig. 78.
Converting the (RA, RB, RC) to the Y (R1, R2, R3). Converting the (RA, RB, RC) to the Y (R1, R2, R3).
Continue Continue
Converting from a Y to a , Converting from a Y to a , first divide Eq. (5a) by Eq. (5b):
Special case where all the values of a or Y were the same. If RA =RB = RC
Continue Continue The Y and the often appear as shown in Fig. 79. They are then referred to as a tee (T) and a pi (p) network, respectively. The equations used to convert from one form to the other are exactly the same as those developed for the Y and transformation
EXAMPLE EXAMPLE- - 27 Convert the in Fig. 80 to a 27 Convert the in Fig. 80 to a Y.
