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Three resistors having resistances r₁, r₂ and r₃ are connected as shown in the given circuit. The ratio (i₃)/(i₁) of currents in terms of resistances used in the circuit is

Asked in NEET 2021 · Kirchhoff's laws in networks

• (1) (r₁)/(r₂+r₃)
• (2) (r₂)/(r₂+r₃)
• (3) (r₁)/(r₁+r₂)
• (4) (r₂)/(r₁+r₃)

Step-by-step solution

Why the other options are wrong

• (1) r₁ carries the whole current i₁ and plays no part in how it divides between r₂ and r₃.
• (3) Uses r₁ in the divider; the current splits between r₂ and r₃ only.
• (4) Uses r₁ in the divider; the current splits between r₂ and r₃ only, as (r₂)/(r₂+r₃).

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