JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Critical Thinking

  • question_answer
    If \[i={{t}^{2}}\] \[0<t<T\] then r.m.s. value of current is

    A)            \[\frac{{{T}^{2}}}{\sqrt{2}}\] 

    B)            \[\frac{{{T}^{2}}}{2}\]

    C)            \[\frac{{{T}^{2}}}{\sqrt{5}}\] 

    D)            None of these

    Correct Answer: C

    Solution :

               \[{{i}_{rms}}=\sqrt{\frac{1}{T}\int_{0}^{T}{{{i}^{2}}dt}}=\frac{{{T}^{2}}}{\sqrt{5}}\]


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