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AP EAMCET202315 May 2023Morning ShiftPhysicsCurrent ElectricityActual

When a resistance R₁ is connected across a cell, the current is I₁ and if the resistance R₁ is replaced by R₂ , the current is I ₂ . Then the internal resistance of the cell is

Options

  1. AI ₁ R ₁+ I ₂ R ₂ I ₁+ I ₂
  2. BI ₁ R ₂- I ₂ R ₁ I ₁- I ₂
  3. CI ₁ R ₂- I ₂ R ₁ I ₁- I ₂
  4. DI ₂ R ₂- I ₁ R ₁ I ₁- I ₂

Correct answer

D. I ₂ R ₂- I ₁ R ₁ I ₁- I ₂

Step-by-step solution

Current I₁= E R₁+r and R₁ is replaced by R₂ then, aligned & I₂= E R₂+r & I₁ I₂ = R₂+r R₁+r I₁ r+I₁ R₁=I₂ r+I₂ R₂ & r (I₁-I₂ )=I₂ R₂-I₁ R₁ r= I₂ R₂-I₁ R₁ (I₁-I₂ ) aligned

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