Home › Previous year questions › GATE 2015 EE (EE2) › Question 51GATE 2015 EE (EE2) – Question 51 Power Systems · Basic concepts of electrical power generation, AC and DC transmission concepts, Models and performance of transmission lines and cables · 2 marks · Numerical answer
A composite conductor comprises three identical circular conductors of radius R arranged as shown, with all centre spacings 3R. If its geometric mean radius is kR, find k.
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Show answer and explanation Correct answer: 1.85 to 1.95
Explanation A solid circular subconductor has self GMR r′=e⁻¹/⁴R≈0.7788R. For an equilateral three-subconductor group, composite GMR is $(r\prime D^2)^{1/3}$.
With D=3R, this becomes $R(9e^{-1/4})^{1/3}$. Therefore **k≈1.91377**, within 1.85–1.95. The physical radius R alone must not replace its self GMR.
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