From the combination of resistors with resistances values R₁ = R₂ = R₃ = 5 Ω and R₄ = 10 Ω, which of the following combination is the best circuit to get an equivalent resistance of 6 Ω? (a) (b) (c) (d)

Answer: (b). (a) all parallel: 1/R = 3/5 + 1/10 ⇒ R ≈ 1.43 Ω. (b) (R₁ + R₂) ∥ (R₃ + R₄) = 10 ∥ 15 = 150/25 = 6 Ω (c) 5 ∥ 10 ∥ 10 = 2.5 Ω; (d) 20 ∥ 5 = 4 Ω. So the answer is (b).

From the combination of resistors with resistances values R₁ = R₂ =… | JEE Main 2025 (4 Apr, Shift 2)

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Combination of Resistors

From the combination of resistors with resistances values $R_1 = R_2 = R_3 = 5\ \Omega$ and $R_4 = 10\ \Omega$ , which of the following combination is the best circuit to get an equivalent resistance of $6\ \Omega$ ?

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Answer: (b)

(a) all parallel: $\dfrac{1}{R} = \dfrac{3}{5} + \dfrac{1}{10} \Rightarrow R \approx 1.43\ \Omega$ .
(b) $(R_1 + R_2) \parallel (R_3 + R_4) = 10 \parallel 15 = \dfrac{150}{25} = 6\ \Omega$
(c) $5 \parallel 10 \parallel 10 = 2.5\ \Omega$ ; (d) $20 \parallel 5 = 4\ \Omega$ .
So the answer is (b).

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