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The resistance of the series combination of two resistances is S . When they are joined in parallel through total resistance is P . If S=n P , then the minimum possible value of n is

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

A. 4

Step-by-step solution

Let resistances be R₁ and R₂ So, S=R₁+R₂ ; aligned & P = R ₁ R ₂ R ₁+ R ₂ & ~S = nP & R ₁+ R ₂= nR ₁ R ₂ R ₁+ R ₂ & ( R ₁+ R ₂ )^2= nR ₁ R ₂ aligned If R₁=R₂ , so minimum value of n=4 .

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