JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Question Bank ac Circuits

  • question_answer
    The power factor of an ac circuit having resistance (R) and inductance (L) connected in series and an angular velocity \[\omega \] is                                           [AIEEE 2002; MP PET 2000]

    A)            \[R/\omega L\]                   

    B)            \[R/{{({{R}^{2}}+{{\omega }^{2}}{{L}^{2}})}^{1/2}}\]

    C)            \[\omega L/R\]                   

    D)            \[R/{{({{R}^{2}}-{{\omega }^{2}}{{L}^{2}})}^{1/2}}\]

    Correct Answer: B

    Solution :

               \[\cos \varphi =\frac{R}{Z}=\frac{R}{{{({{R}^{2}}+\omega {{L}^{2}})}^{1/2}}}\]


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