A uniformly charged infinite wire lies along the y-axis with linear charge density λ₁. A semicircular wire of radius R, centred at (R, 0), has linear charge density λ₂ as shown. If the net electric field at (R, 0) is zero, find λ₁/λ₂.

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A uniformly charged infinite wire lies along the y-axis with linear charge density λ₁. A semicircular wire of radius R, centred at (R, 0), has linear charge density λ₂ as shown. If the net electric field at (R, 0) is zero, find λ₁/λ₂.

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