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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

1. 4 r
2. 1.414 r
3. 2 r
4. 1.723 r

Correct answer: 1.723 r

Solution

The geometric mean radius for a conductor with multiple strands is calculated using the formula that accounts for the arrangement of the strands. In this case, with four equal strands, the geometric mean radius is determined to be approximately 1.723 times the radius of a single strand.

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