Two wires of same length and thickness having specific resistances 6 Ω cm and 3 Ω cm respectively are connected in parallel. The effective resistivity is ρ Ωcm . The value of ρ to the nearest integer,

Question

Two wires of same length and thickness having specific resistances 6 Ω cm and 3 Ω cm respectively are connected in parallel. The effective resistivity is ρ Ωcm . The value of ρ to the nearest integer, is ___ .

TestHub · Accepted Answer

∵ in parallel, R n e t = R 1 R 2 R 1 + R 2 ⇒ ρ l 2 A = ρ 1 l A × ρ 2 l A ρ 1 l A + ρ 2 l A ⇒ ρ 2 = 6 × 3 6 + 3 = 2 ⇒ ρ = 4

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