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JIPMER2010PhysicsCurrent Electricity

A uniform wire of resistance R and length L is cut into four equal parts, each of length L / 4 , which are then connected in parallel combination. The effective resistance of the combination will be

Options

  1. AR
  2. B4 R
  3. CR 4
  4. DR 16

Correct answer

D. R 16

Step-by-step solution

aligned & R= l A or R l & R₁ R₂ = l₁ l₂ = L L / 4 =4 & or R₂= R 4 ( R₁=R ) & aligned In parallel combination of such four resistances. or 1 R^ = 1 R₂ + 1 R₂ + 1 R₂ + 1 R₂ or 1 R^ = 1 R / 4 + 1 R / 4 + 1 R / 4 + 1 R / 4 or 1 R^ = 4 R + 4 R + 4 R + 4 R or 1 R^ = 16 R or R^ = R 16

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