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Class 2 (2nd Engineer) MET 📅 Jan 2026

Exam Question

Q10 (a) With the aid of delta and star connection diagrams, state the basic equation from which the delta-star and star-delta conversion equation can be derived (6) (b) Three batteries A, B, and C have their negative terminals connected together, between the positive terminals of A and B there is a resistor of 0.5 ohm and between B and C there is a resistor of 0.3 ohm. Battery A 105V, internal resistance 0.25 ohm Battery B 100V, internal resistance 0.2 ohm Battery C 95V, internal resistance 0.25 ohm Determine the current values in the two resistors and the power dissipated by them. (10)
Exam question diagram

Reference Answer

### Part (a): Delta-Star and Star-Delta Conversion
#### 1. Principle of Equivalence
The fundamental principle behind Delta (Δ) to Star (Y) and Star (Y) to Delta (Δ) conversion is that the two networks are electrically equivalent if the resistance measured between any two corresponding terminals is identical, while the third terminal is left open. This equivalence must hold for all three pairs of terminals.
Let the terminals be denoted as 1, 2, and 3.

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