JEE Main & Advanced AIEEE Solved Paper-2008

  • question_answer
    A 5V battery with internal resistance \[2\,\Omega \] and a 2V battery with internal resistance \[1\,\Omega \] are connected to a \[10\,\,\Omega \] resistor as shown in the figure. The current in the \[10\,\,\Omega \] resistor is                     AIEEE  Solved  Paper-2007

    A) 0.03 A \[{{P}_{2}}\] to \[{{P}_{1}}\]         

    B) 0.27 A \[{{P}_{1}}\] to \[{{P}_{2}}\]

    C)        0.27 A \[{{P}_{2}}\] to \[{{P}_{1}}\]

    D)        0.03 A \[{{P}_{1}}\] to \[{{P}_{2}}\]

    Correct Answer: A

    Solution :

                    \[i=\frac{{{\varepsilon }_{1}}{{r}_{2}}+{{\varepsilon }_{2}}{{r}_{1}}}{{{r}_{1}}{{r}_{2}}+R{{r}_{1}}+R{{r}_{2}}}=\frac{5\times 1+\left( -2 \right)\times 2}{2\times 1+10\times 2+10\times 1}\] = 0.03 A


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