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10th Class Science Electricity and Circuits Question Bank Electricity

  • question_answer
    Figure shows a circuit with two cells in opposition to each other. One cell has an emf of 6 V and internal resistance of \[2\,\Omega \] and the other cell has an emf of 4 V and internal resistance of \[8\,\Omega \]. The potential difference across the terminal X and Y is

    A)  \[5.4\,\,V\]       

    B)         \[5.6\,\,V\]

    C)  \[5.8\,\,V\]       

    D)         \[6.0\,\,V\]  

    Correct Answer: D

    Solution :

                    \[I=\frac{\sum{V}}{\sum{R}}=\frac{2}{10}=0\cdot 2\,\,Amp\] Potential difference across both the cells is same and is equal to\[{{V}_{XY}}\]. The 6 V cell is getting discharged,                 \[V=E-IR=6-0\cdot 2\times 2=5\cdot 6\] The \[4\,\,V\] cell is getting charged,                 \[V=E+IR=4+0\cdot 2\times 8=5\cdot 6\]


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