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KVPY2012PhysicsCurrent Electricity

In the circuit shown, n identical resistors R are connected in parallel ( n >1 ) and the combination is connected in series to another resistor R ₀ . In the adjoining circuit n resistors of resistance R are all connected in series along with R ₀- The batteries in both circuits are identical and net power dissipated in the n resistors in both circuits is same. The ratio R ₀ / R is

Options

  1. A1
  2. Bn
  3. Cn ²
  4. D1 / n

Correct answer

A. 1

Step-by-step solution

array l i ₁= nE n R₀+ R , i ₂= E ( R ₀+ n R ) P ₁= nE ² R ( nR ₀+ R )² , P ₂= nE ² R ( R ₀+ nR )² P ₁= P ₂ Hence R ₀ / R =1 array

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