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The formula for calculating the area of cross-section (A) of armature conductors in an electrical machine, such as a motor or generator, depends on the total current being carried by the armature conductors and the current density (J) at which the conductors operate. The formula is expressed as:
[A = frac{I}{J}]
Where:
– (A) is the area of cross-section of the armature conductors (in square meters, m², or in square millimeters, mm²),
– (I) is the total current carried by the armature conductors (in amperes, A),
– (J) is the current density (in amperes per square meter, A/m², or in amperes per square millimeter, A/mm²).
It’s important to note that the current density is a critical design parameter, chosen based on the thermal limits of the conductor material, efficiency considerations, and the mechanical limitations of the design. Choosing an appropriate value for (J) can balance the efficiency, cost, and size of the machine.
Answer: d
Explanation: For obtaining the area of the cross section the current per conductor is calculated. Next the current density is calculated and the ratio of both gives the current density of the area of cross section.