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An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the length and radii of the wires are in the ratio of 4 / 3 and 2 / 3 , then the ratio of the currents passing through the wire will be

Options

  1. A3
  2. B1 / 3
  3. C8 / 9
  4. D2

Correct answer

B. 1 / 3

Step-by-step solution

I₁ I₂ = R₂ R₁ [current divider rule since voltage is same in parallel] aligned & I₁ I₂ = L₂ L₁ r₁^2 r₂^2 & I₁ I₂ = 3 4 ( 2 3 )^2= 1 3 . aligned

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