Manipal Engineering Manipal Engineering Solved Paper-2008

  • question_answer
    Two similar accumulators each of emf E and internal resistance r are connected as shown in the following figure. Then, the potential difference between x and y is

    A)  2E                         

    B)         E

    C)  zero                     

    D)         None of these

    Correct Answer: C

    Solution :

    From Kirchhoffs second law                 \[V=\Sigma ir\]                 (for closed mesh) where\[V\]is potential difference,\[i\]the current and \[r\]the resistance. \[\therefore \]  \[E+E=Ir+Ir=2Ir\] or            \[I=\frac{E}{r}\]                                                ? (i)                 \[{{V}_{x}}-{{V}_{y}}=E-Ir\] Putting the value of\[I\]from Eq. (i), we get                 \[{{V}_{x}}-{{V}_{y}}=E-\frac{E}{r}\times V=0\]


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