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The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25 Ω. What will be the effective resistance if they are connected in series?

Asked in NEET 2021 · Series and parallel combinations

• (1) 0.25 Ω
• (2) 0.5 Ω
• (3) 1 Ω
• (4) 4 Ω

Step-by-step solution

Why the other options are wrong

• (1) This is the parallel value again; in series the resistances add.
• (2) No single slip gives 0.5 Ω; a series combination is larger than any one wire, and each wire is 1 Ω.
• (3) This is the resistance of one wire, 4×0.25; four of them in series give four times that.

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