A conductor is composed of seven identical copper strands,

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A conductor is composed of seven identical copper strands, each having a radius r. The self GMD of the conductors will be

1. 2.177 r
2. 2.645 r
3. 2.141 r
4. 1.21 r

Correct Option: A

Self GMD of the seven strand conductor is 49th root of the distances. Thus
D_s = [(r')⁷ × (D²₁₂ × D²₂₆ × D₁₄ × D₁₇)⁶ × (2)⁶]^1/49
= [(0.7788 r)⁷ × (2²r² × 3 × 2²r² × 2²r × 2r)⁶]^1/49

=	2r[3(0.7788)]^1/7	= 2.177 r
	6^1/49