J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    24 cells of emf \[1.5\text{ }V\]each having internal resistance of \[1\text{ }ohm\]are connected to an  external resistance of\[1.5\text{ }ohms\]. To get maximum current

    A)  all cells are connected in series combination

    B)  all cells are connected in parallel combination

    C)  4 cells in each row are connected in series and6 such rows are connected in parallel

    D)  6 cells in each row are connected in series and 4 such rows are connected in parallel

    Correct Answer: D

    Solution :

    For series,  \[i=\frac{nE}{nr+R}\] \[i=\frac{24\times 1.5}{24+1.5}=1.41\] For parallel, \[i=\frac{E}{\frac{r}{n}+R}\] \[i=\frac{1.5}{\frac{1}{24}+1.5}\] For \[4\times 6\] combination \[i=\frac{nE}{R+\frac{nr}{m}}\] \[i=\frac{4\times 1.5}{1.5+\frac{4}{6}}=2.77\] For \[6\times 4\] combination \[i=\frac{nE}{R+\frac{nr}{M}}\] \[\Rightarrow \] \[i=\frac{6\times 1.5\times 4}{12}=3\]


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