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BITSAT2016PhysicsCurrent ElectricityActual

Two resistances at 0^ C with temperature coefficient of resistance ₁ and ₂ joined in series act as a single resistance in a circuit. The temperature coefficient of their single resistance will be

Options

  1. A₁+ ₂
  2. B₁ ₂ ₁+ ₂
  3. C₁- ₂ 2
  4. D₁+ ₂ 2

Correct answer

D. ₁+ ₂ 2

Step-by-step solution

aligned R₁ &=R₀ (1+ ₁ t )+R₀ (1+ ₂ t ) &=2 R₀ (1+ ₁+ ₂ 2 t ) aligned Comparing with R=R₀(1+ t) = ₁+ ₂ 2

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