JCECE Medical JCECE Medical Solved Paper-2013

  • question_answer
    In the adjoining figure, \[E=5\,V=r=1\,\Omega ,\,\]\[{{R}_{2}}=4\,\Omega ,\,{{R}_{1}}={{R}_{3}}=1\,\Omega \] and \[C=3\mu F.\]The numerical value of the charge on each plate of the capacitor is

    A)  \[3\mu C\]

    B)  \[6\mu C\]

    C)  \[12\mu C\]

    D)  \[24\mu C\]

    Correct Answer: B

    Solution :

     From figure it is clear that, current will flow only through the branch containing \[{{R}_{2}}.\] \[\therefore \] \[I=\frac{E}{{{R}_{2}}+r}\] \[=\frac{5}{4+1}\] \[=1\,A\] So, potential difference across\[{{R}_{2}};\] \[V=I{{R}_{2}}\] \[=1\times 4\] \[=4\,V\] Let q be the charge on each plate of each capacitor, then \[\frac{q}{C}+\frac{q}{C}=4\] \[\Rightarrow \] \[\frac{2q}{C}=4\] \[q=2\times C\] \[=2\times 3\] \[=6\,\mu C\]


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