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  • A wire of a given material has a resistance of 4 Ω. Calcu...
Multiple choice

A wire of a given material has a resistance of 4 Ω. Calculate the resistance of another wire of the same material having length l/2 and area of cross-section 2A?

  1. 2 Ω

  2. 0.5 Ω

  3. 8 Ω

  4. 1 Ω

  5. 16 Ω

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

R1 = R2R1 = ρl/A = 4ΩR2 = (ρl/2)/2A = ¼ [ρl/A]= ¼ x 4Ω = 1Ω.The resistance of the new wire is 1Ω.

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