The magnetic field at the centre of a wire loop formed by two semicircular wires of radii R₁ = 2π m and R₂ = 4π m carrying current I = 4A as per figure given below is α × 10⁻⁷ T. The value of α i $s ______.$ (Centre O is common for all segments)

Question

G1 Physics · Accepted Answer

Image B = μ₀I/(4R₂) + μ₀I/(4R₁) = (4π × 10⁻⁷ × 4)/(4 × 4π) + (4π × 10⁻⁷ × 4)/(4 × 2π) = 3 × 10⁻⁷ T Therefore α = 3.

The magnetic field at the centre of a wire loop formed by two semicircular wires of radii R₁ = 2π m and R₂ = 4π m carrying current I = 4A as per figure given below is α × 10⁻⁷ T. The value of α i s ______. (Centre O is common for all segments)