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Two resistors R₁ and R₂ arranged in parallel combination in an electrical closed circuit are made of the same material and of same thickness. If the length of R₂ is twice the length of R₁ , then the total resistance R satisfies

Options

  1. A3 R=2 R₁
  2. B3 R=2 R₂
  3. C2 R=3 R₁
  4. D2 R=3 R₂

Correct answer

A. 3 R=2 R₁

Step-by-step solution

As R _ z =21_ R 1 So, R₂=2 R₁ [Q R= P l A R ₁ ] So, Re q= R ₁ R ₂ R ₁+ R ₂ = R ₁ (2 R ₁ ) R ₁+2 R ₁ = 2 R ₁^2 3 R ₁ = 2 R ₁ 3 Thus, 3 Req =2 R 1 i.e. 3 R=2 R

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