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NEET Sample Paper NEET Sample Test Paper-64

  • question_answer
    The r.m.s. current in an ac circuit is 2 A. If the wattless current be\[\sqrt{3}\,A\], what is the power factor?

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

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

    C) \[\frac{1}{2}\]              

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

    Correct Answer: C

    Solution :

    \[{{i}_{WL}}\,=\,{{i}_{rms}}\sin \,\phi \,\,\Rightarrow \,\,\sqrt{3}\,\,=\,\,2\,\sin \,\phi \,\] \[\Rightarrow \,\,\,\,\sin \,\phi \,\,=\,\,\frac{\sqrt{3}}{2}\]^ \[\Rightarrow \,\,\,\,\phi \,\,=\,\,60{}^\circ \,so\,p.f.\,\,=\,\,\cos \,\phi \,\,=\,\,\cos \,\,60{}^\circ \,=\,\,\frac{1}{2}\]


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