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NEET Sample Paper NEET Sample Test Paper-79

  • question_answer
    A coil of inductive reactance\[32\,\,\Omega \], has a resistance of\[8\,\,\Omega \]. It is placed in series with a condenser of capacitive reactance\[26\,\,\Omega \]. The combination is connected to an AC source of 110 V. The power factor of circuit is

    A)  0.80                

    B)  0.56                 

    C)  0.33                            

    D)  0.64

    Correct Answer: A

    Solution :

    Given, \[\operatorname{X}=32\,\,\Omega ,\,\,{{X}_{C}}=26\,\,\Omega ,\,\,R=8\,\,\Omega \] Impedance \[Z\,\,=\,\,\sqrt{({{R}^{2}})+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] \[=\,\,\sqrt{{{(8)}^{2}}+{{(32-26)}^{2}}}\] \[=\,\,\,\sqrt{64+36}\] \[=\,\,\,10\,\,\Omega \] \[\therefore \] Power factor \[\cos \,\,\phi \,\,=\,\,\frac{R}{Z}=\frac{8}{10}=0.8\]


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