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The amount of copper used by a 3-wire distributor having the same maximum voltage to earth as compared to a 2-wire DC distributor is ______.
- a)33.3%
- b)69.75%
- c)66.7%
- d)31.25%
Correct answer is option 'D'. Can you explain this answer?
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The amount of copper used by a 3-wire distributor having the same maxi...
The correct answer is option 'D'.
Concept:
- For the same conductor length, the same amount of power, same losses and same maximum voltage to earth, 3 wire DC system requires a 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 Points
- 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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The amount of copper used by a 3-wire distributor having the same maxi...
Comparison of Copper Usage in 2-Wire and 3-Wire Distributors
Understanding the copper usage in 2-wire and 3-wire distributors involves considering the distribution of current and voltage across the wires.
Current Distribution in 2-Wire DC Distributor
- In a 2-wire DC distributor, the current flows through one wire while the return path is through the other wire.
- This results in unequal distribution of current across the two wires.
Current Distribution in 3-Wire Distributor
- In a 3-wire distributor, the current is split into two equal parts, flowing through two wires, while the return path is through the third wire.
- This results in a more balanced distribution of current across the three wires.
Impact on Copper Usage
- Since the current is divided equally among the three wires in a 3-wire distributor, each wire carries a lower current compared to the two wires in a 2-wire distributor.
- Lower current means less copper is required to carry the same amount of power, resulting in reduced copper usage in a 3-wire distributor.
Calculation of Copper Savings
- The reduction in copper usage can be calculated by comparing the current carrying capacity of the wires in the 2-wire and 3-wire distributors.
- The percentage reduction in copper usage in a 3-wire distributor compared to a 2-wire distributor is approximately 31.25%.
Therefore, the correct answer is option 'D' - 31.25%.
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The amount of copper used by a 3-wire distributor having the same maximum voltage to earth as compared to a 2-wire DC distributor is ______.a)33.3%b)69.75%c)66.7%d)31.25%Correct answer is option 'D'. Can you explain this answer?
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