JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Self Evaluation Test - Alternating Current

  • question_answer
    A coil of inductive reactance \[31\,\Omega \]has a resistance of \[8\,\Omega \]. It is placed in series with a condenser of capacitive reactance \[25\,\Omega \]. The combination is connected to an a.c. source of 110 volt. The power factor of the circuit is

    A) 0.64  

    B) 0.80  

    C) 0.33

    D) 0.56

    Correct Answer: B

    Solution :

    [b] Power factor, \[\phi =\frac{R}{\sqrt{{{\left( \omega L-\frac{1}{\omega C} \right)}^{2}}+{{R}^{2}}}}\] \[=\frac{8}{\sqrt{{{(31-25)}^{2}}+{{8}^{2}}}}=\frac{8}{\sqrt{{{6}^{2}}+{{8}^{2}}}}=\frac{8}{10}=0.8\]


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