AFMC AFMC Solved Paper-2010

  • question_answer
    A number of condensers, each of the capacitance 1 \[\mu \]F and each one of which gets punctured if a potential difference just exceeding 500 V is applied, are provided. An arrangement suitable for giving capacitance of 2 \[\mu \]F across which 3000 V may be applied requires at least

    A) 6 component capacitors            

    B) 12 component capacitors

    C) 72 component capacitors

    D) 2 component capacitors

    Correct Answer: C

    Solution :

    Minimum number of condensers in each row \[=\frac{3000}{500}=6\] If \[{{C}_{s}}\]is capacity of 6 condensers in a row, \[\frac{1}{{{C}_{s}}}=\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=6\] \[{{C}_{s}}=\frac{1}{6}\mu F\] Let there be m such rows in parallel, Total capacity \[=m\times {{C}_{s}}\] \[2=m\times \frac{1}{6}\] \[\therefore \]   \[m=12\] Total number of capacitors \[=6\times 12\]                 \[=72\]


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