DUMET Medical DUMET Medical Solved Paper-2003

  • question_answer
    When the resistance of \[9\,\,\Omega \] is connected at the ends of a battery, its potential difference decreases from 40 V to 30 V. The internal resistance of the battery is :

    A)  \[6\,\,\Omega \]            

    B)  \[3\,\,\Omega \]

    C)  \[9\,\,\Omega \]           

    D)  \[15\,\,\Omega \]

    Correct Answer: B

    Solution :

     When cell is giving current (i), then the potential difference V across its plates is less than the emf E of the cell, its reason is the internal resistance (r) in the cell. Therefore, \[V=E-ir\] \[\Rightarrow \] \[r=\left( \frac{E}{V}-1 \right)R\] \[\left( \because \,\,i=\frac{V}{R} \right)\] Given, \[E=40\,V,\,V=30\]volt, \[R=9\,\Omega \] \[\therefore \] \[r=\left( \frac{40}{30}-1 \right)\times 9\] \[=\frac{9\times 10}{30}\,3\,\Omega \]= Note: The emf (E) is the characteristic of each cell and its value remains constant for the cell, while the potential difference (V) goes on decreasing on taking more and more current from the cell.


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