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KCET2015PhysicsWaves and Sound

Two cells of emf ( E₁ ) and ( E₂ ) are joined in opposition (such that ( E₁>E₂ ) ). If ( r₁ ) and ( r₂ ) be the internal resistance and ( R ) be the external resistance, then the terminal potential difference is

Options

  1. A( E₁+E₂ r₁+r₂ R )
  2. B( E₁+E₂ r₁+r₂+R R )
  3. C( E₁-E₂ r₁+r₂ R )
  4. D( E₁-E₂ r₁+r₂+R R )

Correct answer

D. ( E₁-E₂ r₁+r₂+R R )

Step-by-step solution

Here, current through the circuit ( =I= net emf effective resistance ) ( I= E₁-E₂ r₁+r₂+R ) Using ohm's law, ( V=I R ), Terminal potential difference ( = (E₁-E₂ ) (r₁+r₂+R ) R )

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