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

 

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