CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    If\[E=100sin(100t)\]volt and\[I=100\sin \left( 100t+\frac{\pi }{3} \right)mA\]are the instantaneous values of voltage and current, then the rms values of voltage and current are respectively

    A)  \[70.7\,V,70.7\,mA\]

    B)  \[70.7\,V,70.7A\]

    C)  \[141.4\,V,141.4mA\]

    D)  \[141.4\,V,\,141.4\,A\]

    E)  \[100\,\,V,100\,mA\]

    Correct Answer: A

    Solution :

    Given, \[E=100\,\sin 100t\] \[I=100\,\sin \left( 100t+\frac{\pi }{3} \right)\] We knows \[{{E}_{rms}}=\frac{{{E}_{0}}}{\sqrt{2}}\]and \[{{I}_{rms}}=\frac{{{I}_{0}}}{\sqrt{2}}\] Hence, \[{{E}_{rms}}=\frac{100}{\sqrt{2}}=70.7\,V\] \[{{I}_{rms}}=\frac{100}{\sqrt{2}}=70.7\,V\]


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