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In a D-connected source feeding a Yconnected load
- a)each phase voltage equals the difference of the corresponding load voltages
- b)each phase voltage equals the corresponding load voltage
- c)each phase voltage is one-third the corresponding load voltage
- d)each phase voltage is 60º out of phase with the corresponding load voltage
Correct answer is option 'A'. Can you explain this answer?
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In a D-connected source feeding a Yconnected loada)each phase voltage ...
In a D-connected source feeding a Y-connected load, the correct option is option 'A': each phase voltage equals the difference of the corresponding load voltages. Let's break down the explanation:
D-Connected Source:
- A D-connected source refers to a delta-connected source. In a delta connection, the three phases are connected in a triangular or delta shape.
- In a delta connection, each phase is connected between two phases, forming a closed loop.
Y-Connected Load:
- A Y-connected load refers to a star-connected load. In a star connection, the three phases are connected to a common point, forming a star shape.
- In a star connection, each load is connected between a phase and the common neutral point.
Explanation of Option 'A':
- In a D-connected source feeding a Y-connected load, each phase voltage equals the difference of the corresponding load voltages.
- This means that the voltage across each phase of the source is equal to the voltage difference between the corresponding loads.
- Mathematically, if V1, V2, and V3 represent the phase voltages of the source and Vab, Vbc, and Vca represent the load voltages, then:
- V1 = Vab - Vca
- V2 = Vbc - Vab
- V3 = Vca - Vbc
Example:
- Let's consider an example to understand this concept better. Assume that Vab = 240V, Vbc = 220V, and Vca = 200V.
- Using the equations above, we can calculate the phase voltages of the source as follows:
- V1 = Vab - Vca = 240V - 200V = 40V
- V2 = Vbc - Vab = 220V - 240V = -20V
- V3 = Vca - Vbc = 200V - 220V = -20V
- As we can see, each phase voltage of the source is equal to the difference between the corresponding load voltages.
Conclusion:
In a D-connected source feeding a Y-connected load, each phase voltage equals the difference of the corresponding load voltages. This relationship can be mathematically derived and observed in practical examples.
D-Connected Source:
- A D-connected source refers to a delta-connected source. In a delta connection, the three phases are connected in a triangular or delta shape.
- In a delta connection, each phase is connected between two phases, forming a closed loop.
Y-Connected Load:
- A Y-connected load refers to a star-connected load. In a star connection, the three phases are connected to a common point, forming a star shape.
- In a star connection, each load is connected between a phase and the common neutral point.
Explanation of Option 'A':
- In a D-connected source feeding a Y-connected load, each phase voltage equals the difference of the corresponding load voltages.
- This means that the voltage across each phase of the source is equal to the voltage difference between the corresponding loads.
- Mathematically, if V1, V2, and V3 represent the phase voltages of the source and Vab, Vbc, and Vca represent the load voltages, then:
- V1 = Vab - Vca
- V2 = Vbc - Vab
- V3 = Vca - Vbc
Example:
- Let's consider an example to understand this concept better. Assume that Vab = 240V, Vbc = 220V, and Vca = 200V.
- Using the equations above, we can calculate the phase voltages of the source as follows:
- V1 = Vab - Vca = 240V - 200V = 40V
- V2 = Vbc - Vab = 220V - 240V = -20V
- V3 = Vca - Vbc = 200V - 220V = -20V
- As we can see, each phase voltage of the source is equal to the difference between the corresponding load voltages.
Conclusion:
In a D-connected source feeding a Y-connected load, each phase voltage equals the difference of the corresponding load voltages. This relationship can be mathematically derived and observed in practical examples.
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In a D-connected source feeding a Yconnected loada)each phase voltage equals the difference of the corresponding load voltagesb)each phase voltage equals the corresponding load voltagec)each phase voltage is one-third the corresponding load voltaged)each phase voltage is 60 out of phase with the corresponding load voltageCorrect answer is option 'A'. Can you explain this answer?
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