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12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank MCQ - Alternating Currents

  • question_answer
    In a pure capacitive circuit, if the frequency of AC source is doubled, then its capacitive reactance will be:

    A) remains same                

    B) doubled

    C) halved             

    D) zero

    Correct Answer: C

    Solution :

    (c) halved Capacitive reactance, \[{{X}_{C}}=\frac{1}{2\pi vC}\] \[\Rightarrow {{X}_{C}}\propto \frac{1}{v}\] \[\therefore \frac{{{X}_{{{C}_{1}}}}}{{{X}_{{{C}_{2}}}}}=\frac{{{v}_{2}}}{{{v}_{1}}}=\frac{2v}{v}=2\] \[\Rightarrow {{x}_{{{c}_{2}}}}=\frac{{{X}_{{{C}_{1}}}}}{2}\]


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