Three resistors, each one with a resistance of 27 Ω, are connected in delta formation. If the delta to star conversion is performed, each resistor will be changed to______.
Three resistors, each one with a resistance of 27 Ω, are connected in delta formation. If the delta to star conversion is performed, each resistor will be changed to ______.
Right Answer is:
9 Ω
SOLUTION
Delta to Star conversion:
${R_A} = \frac{{{R_{AB}} \times {R_{AC}}}}{{{R_{AB}} + {R_{AC}} + {R_{BC}}}}$
RAB = RBC = RAC = 27 Ω
RA = RB = RC = (27 × 27)/(27 + 27 + 27) = 9 Ω