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A 3-ϕ, 3-wire AC distributor system requires how much of copper as compared with a DC 2-wire distributor system?
  • a)
    2/cos2ϕ
  • b)
    0.5/cos2ϕ
  • c)
    0.625/cos2ϕ
  • d)
    1.75/cos2ϕ
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A 3-, 3-wire AC distributor system requires how much of copper as comp...
For the same conductor length, the same amount of power, same losses and same maximum voltage to earth, 3 wire DC system requires minimum conductor area
  • For transmitting the same amount of power at the same voltage, a three-phase transmission line requires less conductor material than a single-phase line; The three-phase transmission system is so cheaper
  • For a given amount of power transmitted through a system, the three-phase system requires conductors with a smaller cross-sectional area; This means a saving of copper and thus the original installation costs are less
Important Point:
Below is given the table which shows the ratio of conductor-material in any system compared with that in the corresponding 2-wire DC system. Cos φ is the power factor in an AC system.
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Community Answer
A 3-, 3-wire AC distributor system requires how much of copper as comp...
Introduction:
The comparison between a 3-wire AC distributor system and a DC 2-wire distributor system is required to determine the amount of copper required for each system.

Explanation:
To understand the comparison, let's first explain the concepts of a 3-wire AC distributor system and a DC 2-wire distributor system.

3-wire AC Distributor System:
- In a 3-wire AC distributor system, there are three wires: phase wire (L1), neutral wire (N), and earth wire (E).
- The phase wire carries the current from the source to the load.
- The neutral wire provides a return path for the current.
- The earth wire is connected to the ground for safety purposes.

DC 2-wire Distributor System:
- In a DC 2-wire distributor system, there are two wires: positive wire (+) and negative wire (-).
- The positive wire carries the current from the source to the load.
- The negative wire provides a return path for the current.

Comparison:
To determine the amount of copper required for each system, we need to compare the wiring configurations.

3-wire AC Distributor System:
- In a 3-wire AC distributor system, the current flows through the phase wire and returns through the neutral wire.
- The current in the neutral wire is typically much smaller than the current in the phase wire because the loads in a 3-phase system are balanced.
- Therefore, the amount of copper required for the neutral wire is smaller compared to the amount of copper required for the phase wire.

DC 2-wire Distributor System:
- In a DC 2-wire distributor system, the current flows through the positive wire and returns through the negative wire.
- The amount of copper required for both the positive and negative wires is the same because the current flows in both directions.

Conclusion:
Based on the above explanation, it can be concluded that a 3-wire AC distributor system requires less copper compared to a DC 2-wire distributor system. The correct answer is option B, which states that the amount of copper required for a 3-wire AC distributor system is 0.5 times the amount of copper required for a DC 2-wire distributor system.
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A 3-, 3-wire AC distributor system requires how much of copper as compared with a DC 2-wire distributor system?a)2/cos2b)0.5/cos2c)0.625/cos2d)1.75/cos2Correct answer is option 'B'. Can you explain this answer?
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