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The geometric mean radius of a conductor, having four equal strands with each strand of radius ‘r’, as shown in the figure below, is
  • a)
    4r
  • b)
    1.414r
  • c)
    2r
  • d)
    1.723r
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The geometric mean radius of a conductor, having four equal strands wi...
Concept:
GMR is defined as the effective distance over which self magnetic flux linkages occur
For a solid conductor with radius r,

GMR = r' = 0.7788r
GMR is less than the physical radius of the conductor.
In the given figure, standard conductor with four identical strands touching each other is given with equal radius r.


= 1.722 r
Since each strands are identical.
∴ GMR of conductor will be equal to GMR of strand i.e.,
GMRcond = GMRa1
= 1.722 r
Therefore, correct option is (d)
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Most Upvoted Answer
The geometric mean radius of a conductor, having four equal strands wi...
Concept:
GMR is defined as the effective distance over which self magnetic flux linkages occur
For a solid conductor with radius r,

GMR = r' = 0.7788r
GMR is less than the physical radius of the conductor.
In the given figure, standard conductor with four identical strands touching each other is given with equal radius r.


= 1.722 r
Since each strands are identical.
∴ GMR of conductor will be equal to GMR of strand i.e.,
GMRcond = GMRa1
= 1.722 r
Therefore, correct option is (d)
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