RAJASTHAN ­ PET Rajasthan PET Solved Paper-2011

  • question_answer
    A capacitor discharges through an inductor of 0.02 H. If the frequency of discharge is 100 Hz then what is the capacitance of the capacitor?

    A)  14.67 \[\mu \]F       

    B)  12.67 \[\mu \]F

    C)  9.67 \[\mu \]F         

    D)  4.67 \[\mu \]F

    Correct Answer: B

    Solution :

     \[f=\frac{1}{2\pi \sqrt{LC}}\] \[LC=\frac{1}{4{{\pi }^{2}}{{f}^{2}}}\] \[C=\frac{1}{4{{\pi }^{2}}L{{f}^{2}}}\] \[C=\frac{1}{4\times {{(3.14)}^{2}}\times 2\times {{10}^{-1}}\times {{(100)}^{2}}}\] \[C=\frac{5}{4\times {{(3.14)}^{2}}}\times {{10}^{-4}}F\] \[C=12.67\times {{10}^{-6}}F=12.67\mu F\]


You need to login to perform this action.
You will be redirected in 3 sec spinner