RAJASTHAN ­ PET Rajasthan PET Solved Paper-2009

  • question_answer
    Two capacitors of capacity 6 \[\mu \]F and 12 \[\mu \]V in series are connected by potential of 150 V. The potential of capacitor of capacity 12 \[\mu \]F will be

    A)  25 V             

    B)  50 V

    C)  100 V            

    D)  150 V

    Correct Answer: C

    Solution :

     Given, \[{{C}_{1}}=6\mu F,{{C}_{2}}=12\mu F,V=150\,Volt\] Total capacity, \[\frac{1}{C}=\frac{1}{{{C}_{1}}}+\frac{1}{{{C}_{2}}}\] \[=\frac{1}{6}+\frac{1}{12}\] \[=\frac{2+1}{12}=\frac{1}{C}=\frac{3}{12}\Rightarrow C=4\mu F\] Potential of\[12\mu F\]capacitor \[V=\frac{q}{C}\] \[V=\frac{4\times 150}{12}\] \[V=50\text{ }volt\]


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