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JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
    The \[rms\] current in a\[AC\] circuit is\[2A\]. If the watt less current be\[\sqrt{3}A\], what is the power factor of the circuit?

    A) \[\frac{1}{2}\]                                   

    B) \[\frac{1}{3}\]

    C) \[\frac{1}{\sqrt{3}}\]                                     

    D) \[\frac{1}{\sqrt{2}}\]

    Correct Answer: A

    Solution :

    We know that,\[{{i}_{wL}}={{i}_{rms}}\sin \phi \] \[\Rightarrow \]               \[\sqrt{3}=2\sin \phi \] or            \[\sin \phi =\frac{\sqrt{3}}{2}\] \[\Rightarrow \]               \[\phi ={{60}^{o}}\] So, power factor\[=\cos \phi =\cos {{60}^{o}}=\frac{1}{2}\]


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