JCECE Medical JCECE Medical Solved Paper-2012

  • question_answer
    The rms current in an AC circuit is 2 A. If the wattless 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, \[{{i}_{wL}}={{i}_{wL}}={{i}_{rms}}\operatorname{sino}|\] \[\Rightarrow \] \[\sqrt{3}=2\sin \text{o}|\] or \[\sin \text{o}|=\frac{\sqrt{3}}{2}\] \[\Rightarrow \] \[\text{o }\!\!|\!\!\text{ =}\,\text{6}{{\text{0}}^{o}}\] So, power factor \[=\cos \text{o }\!\!|\!\!\text{ =cos6}{{\text{0}}^{o}}=\frac{1}{2}\]


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