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 Rab is the resistance between the terminals A and B, Rbc between B and C and Rca between C and A. These 3 resistors are connected in star connection. After transforming to delta, the resistance at A will be?
  • a)
    Rc+Rb+Rc*Rb/Ra
  • b)
    Rc+Rb+Ra*Rb/Rc
  • c)
    Ra+Rb+Ra*Rc/Rb
  • d)
    Rc+Rb+Rc*Ra/Rb
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Rab is the resistance between the terminals A and B, Rbc between B and...
After converting to delta, each delta connected resistance is equal to the sum of the two resistances it is connected to+product of the two resistances divided by the remaining resistance. Hence, resistance at A= Ra+Rb+Ra*Rb/Rc.
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Most Upvoted Answer
Rab is the resistance between the terminals A and B, Rbc between B and...
Resistance in Star Connection
In a star (or Y) connection, three resistors are connected such that one end of each resistor is connected to a common point, and the other ends are connected to separate terminals. Let's consider the resistors Rab, Rbc, and Rca connected in a star configuration.

Transformation to Delta Connection
To find the equivalent resistance at terminal A after transforming to a delta (or Δ) connection, we need to convert the given star connection to a delta connection. The conversion formula for resistors R1, R2, and R3 in a star to delta transformation is as follows:

Rab = Rbc = Rca = Ra*Rb/Rc

Equivalent Resistance at Terminal A
After transforming the star connection to a delta connection, the equivalent resistance at terminal A (denoted as R') can be calculated using the formula:

R' = Rc*Rb/Ra

Explanation of the Answer
The correct answer is option 'A', which states that the resistance at terminal A after transforming to delta will be Rc Rb Ra*Rb/Rc.

This can be understood by considering the transformation formula. According to the formula, the equivalent resistance at terminal A is obtained by multiplying Rc and Rb, and dividing the result by Ra. Additionally, we need to multiply the result by Rb and divide it by Rc.

Hence, the expression Rc Rb Ra*Rb/Rc represents the equivalent resistance at terminal A after transforming the star connection to a delta connection.
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