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

  • question_answer
    If a capacitor of \[8\mu F\] is connected to a 220 V, 100 Hz AC source and the current passing through it is 65 mA, then the rms voltage across it is:

    A) 129.4 V                        

    B) 12.94 V 

    C) 1.294 V                        

    D) 15 V

    Correct Answer: B

    Solution :

    (b) 12.94 V Here,  \[{{V}_{rms}}=220\,\,V,\,\,{{l}_{rms}}=65\,mA=0.065\,A\]             \[C=8\mu F=8\times {{10}^{-6}}F,v=100\,Hz\] Capacitive reactance,             \[{{X}_{C}}=\frac{1}{2\pi vC}\] \[=\frac{1}{2\times 3.14\times 100\times 8\times {{10}^{-6}}}=199\,\Omega \] rms voltage across the capacitor is \[{{V}_{rms}}={{l}_{rms}}{{X}_{C}}=0.065\times 199=12.94\,V\]


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