Three resistors having resistances r₁, r₂ and r₃ are connected as shown: r₁ in series with r₂ and r₃ in parallel. The ratio i₃/i₁ is: [Diagram: Image]
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Three resistors having resistances r₁, r₂ and r₃ are connected as shown: r₁ in series with r₂ and r₃ in parallel. The ratio i₃/i₁ is: [Diagram: Image]

G1 Physics · Accepted Answer

Step 1: At junction, i₁ = i₂+i₃. Step 2: For parallel branches i₂r₂ = i₃r₃, so i₂ = i₃r₃/r₂. Step 3: i₁ = i₃(r₂+r₃)/r₂. Thus i₃/i₁ = r₂/(r₂+r₃).