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ExamsJEE AdvancedPhysics

Two resistors of equal magnitude R, with temperature coefficients of resistance alpha1 and alpha2 respectively, are connected in parallel. What is the approximate temperature coefficient of the parallel combination?

  1. 2*(alpha1 + alpha2)
  2. alpha1*alpha2/(alpha1 + alpha2)
  3. (alpha1 - alpha2)/2
  4. (alpha1 + alpha2)/2

Correct answer: (alpha1 + alpha2)/2

Solution

To first order, equal parallel resistors give an effective coefficient (alpha1 + alpha2)/2.

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