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NEET2012PhysicsCurrent ElectricityActual

A ring is made of a wire having a resistance R₀=12 . Find the points A and B , as shown in the figure, at which a current carrying conductor should be connected so that the resistance R of the sub circuit between these points is equal to 8 / 3

Options

  1. Al₁ l₂ = 5 8
  2. Bl₁ l₂ = 1 3
  3. Cl₁ l₂ = 3 8
  4. Dl₁ l₂ = 1 2

Correct answer

D. l₁ l₂ = 1 2

Step-by-step solution

We knows R l Here, R₁+R₂=12 and R₁ R₂ R₁+R₂ = 8 3 R₁ R₂=32 We get, R₁=8 and R₂=4 Again, R₁= 12 l₁ l₁+l₂ and R₂= 12 l₂ l₁+l₂ Hence, l₁ l₂ = 1 2

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