The current passing through a conducting loop in the form of an equilateral triangle of side 4√3 cm is 2 A. The magnetic field at its centroid is α×10⁻⁵ T. The value of α is . (Given: μ₀=4π×10⁻⁷ SI units)

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(3) 3√3. Centroid to side distance d=a/(2√3)=(4√3)/(2√3)=2 cm Each side subtends 60° on either side: B₁=(μ₀ I)/(4π d)(2 sin 60°)=(10⁻⁷×2)/(0.02)√3=√3×10⁻⁵ T Three sides add: B=3√3×10⁻⁵ T, so α=3√3

The current passing through a conducting loop in the form of an equilateral triangle of side 4√3 cm is 2 A. The magnetic field at its centroid is α×10⁻⁵ T. The value of α is ______. (Given: μ₀=4π×10⁻⁷ SI units)

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