AMU Medical AMU Solved Paper-1998

  • question_answer
    A\[10\,\mu F\]capacitor is charged to a potential difference of 50 V and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes 20 volt. The capacitance of second capacitor is

    A) \[15\,\mu F\]           

    B)  \[30\,\mu F\]

    C) \[20\,\mu F\]          

    D)  \[10\,\mu F\]

    Correct Answer: A

    Solution :

    : \[{{q}_{1}}=10\times 50=500\mu C\] \[{{C}_{1}}=10\mu F,{{C}_{2}}=?\] \[{{q}_{2}}=0\] As\[V=\frac{{{q}_{1}}+{{q}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] \[\therefore \]\[{{C}_{1}}+{{C}_{2}}=\frac{{{q}_{1}}+{{q}_{2}}}{V}=\frac{500+0}{20}=25\,\mu F\] \[{{C}_{2}}=25-{{C}_{1}}=25-10=15\,\mu F\]


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