Punjab Medical Punjab - MET Solved Paper-1999

  • question_answer
    Three capacitors of capacitance\[3\mu F\], \[10\mu F\] and \[15\mu F\] are joined in series to a voltage source of\[100\,\,V\]. The charge on \[15\mu F\] will be

    A) \[280\]                                 

    B) \[50\,\,\mu C\]

    C) \[100\,\,\mu C\]                              

    D) \[200\,\,\mu C\]

    Correct Answer: D

    Solution :

    Capacitance of first capacitor\[{{C}_{1}}=3\mu F\] Capacitance of second capacitor\[{{C}_{2}}=10\mu F\] Capacitance of third capacitor\[{{C}_{3}}=15\mu F\] Applied potential\[V=100\,\,volt\] Equivalent capacitance when connected in series is given by \[\frac{1}{{{C}_{eq}}}=\frac{1}{{{C}_{1}}}+\frac{1}{{{C}_{2}}}+\frac{1}{{{C}_{3}}}=\frac{1}{3}+\frac{1}{10}+\frac{1}{15}=\frac{1}{2}\] Charge on \[15\,\,\mu F\] capacitor \[q=2\times 100=200\,\,\mu C\]


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