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If each branch of star connection is 3 Ω. Then its corresponding delta connection will contain ______.
- a)3 Ω
- b)1/3Ω
- c)9Ω
- d)1/9Ω
Correct answer is option 'C'. Can you explain this answer?
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If each branch of star connection is 3 Ω. Then its corresponding...
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Understanding Star and Delta Connections
In electrical engineering, star (Y) and delta (Δ) connections are two fundamental configurations used to connect three-phase systems. The relationship between resistances in these configurations is critical for circuit analysis.
Star Configuration
- In a star connection, each branch has a resistance of 3 Ω.
- The total resistance between any two phases in a star connection can be calculated using the formula: R_Y = R_phase.
Delta Configuration
- In a delta connection, the resistance is calculated differently. The resistances in the delta configuration are related by the formula: R_Δ = 3 * R_Y.
Calculating Delta Resistance
- Given: R_Y = 3 Ω (each branch in star).
- To find R_Δ:
R_Δ = 3 * R_Y
R_Δ = 3 * 3 Ω
R_Δ = 9 Ω
This indicates that each branch in the delta connection will be 9 Ω.
Conclusion
Thus, when each branch of a star connection has a resistance of 3 Ω, the corresponding resistance in the delta connection will indeed be 9 Ω. The correct answer is option 'C', which is 9 Ω. This relationship is crucial for engineers when converting between these two types of connections in three-phase systems.
In electrical engineering, star (Y) and delta (Δ) connections are two fundamental configurations used to connect three-phase systems. The relationship between resistances in these configurations is critical for circuit analysis.
Star Configuration
- In a star connection, each branch has a resistance of 3 Ω.
- The total resistance between any two phases in a star connection can be calculated using the formula: R_Y = R_phase.
Delta Configuration
- In a delta connection, the resistance is calculated differently. The resistances in the delta configuration are related by the formula: R_Δ = 3 * R_Y.
Calculating Delta Resistance
- Given: R_Y = 3 Ω (each branch in star).
- To find R_Δ:
R_Δ = 3 * R_Y
R_Δ = 3 * 3 Ω
R_Δ = 9 Ω
This indicates that each branch in the delta connection will be 9 Ω.
Conclusion
Thus, when each branch of a star connection has a resistance of 3 Ω, the corresponding resistance in the delta connection will indeed be 9 Ω. The correct answer is option 'C', which is 9 Ω. This relationship is crucial for engineers when converting between these two types of connections in three-phase systems.
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Question Description
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