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: (a) (r₂)/(r₁+r₃) (b) (r₁)/(r₂+r₃) (c) (r₂)/(r₂+r₃) (d) (r₁)/(r₁+r₂)

Answer: (c). i₁ through r₁ divides between r₂ and r₃ in parallel. Current divider: i₃ = i₁ (r₂)/(r₂ + r₃) (i₃)/(i₁) = (r₂)/(r₂ + r₃). So the answer is (c).

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Q54NEET 2021Medium

Combination of Resistors

Three resistors having resistances r1, r2 and r3 are connected as shown in the given circuit. The ratio $\frac{i_3}{i_1}$ of currents in terms of resistances used in the circuit is:

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Answer: (c)

$i_1$ through $r_1$ divides between $r_2$ and $r_3$ in parallel.
Current divider: $i_3 = i_1 \dfrac{r_2}{r_2 + r_3}$
$\dfrac{i_3}{i_1} = \dfrac{r_2}{r_2 + r_3}$ . So the answer is (c).

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