RAJASTHAN PMT Rajasthan - PMT Solved Paper-2011

  • question_answer
    The potential difference V varies with time t as shown in the figure. The rms value of V is

    A)  \[{{V}_{0}}\]                                     

    B)  \[2{{V}_{0}}\]

    C)  \[{{V}_{0}}/2\]                

    D)         \[{{V}_{0}}/\sqrt{2}\]

    Correct Answer: D

    Solution :

    The rms value     \[{{V}_{rms}}={{\left\{ \frac{1}{T}\int_{0}^{T/2}{V_{0}^{2}dt} \right\}}^{1/2}}={{\left\{ \frac{1}{T}\cdot V_{0}^{2}\frac{T}{2} \right\}}^{1/2}}=\frac{{{V}_{0}}}{\sqrt{2}}\]


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