AMU Medical AMU Solved Paper-1999

  • question_answer
    An LC circuit contains a 40 mH inductor and a \[25\,\mu F\]capacitor. The resistance of the circuit is negligible. The energy stored in the circuit is completely magnetic at times (in milliseconds). The time is measured from the instant the circuit is closed     

    A)  0, 3.14, 6.28     

    B)  0, 1.57, 4.71

    C)  1.57, 4.71, 7.85   

    D)  none of the above

    Correct Answer: D

    Solution :

    : When resistance R is negligible, \[n=\frac{1}{2\pi \sqrt{LC}}\] \[\therefore \] \[n=\frac{1}{2\pi \sqrt{40\times {{10}^{-3}}\times 25\times {{10}^{-6}}}}\] \[\therefore \] \[n=\frac{{{10}^{3}}}{2\pi }\] \[\therefore \] \[T=\frac{1}{n}=\frac{2\pi }{{{10}^{3}}}\sec =2\pi \]milli sec As energy is magnetic at times \[t=\frac{T}{2},T,\frac{3T}{2}....\] Hence \[t=\pi ,2\pi ,3\pi ..........\]milli sec \[=3.14,6.28,9.42\]milli sec.


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