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

  • question_answer
    An AC source is of \[\frac{200}{\sqrt{2}}V,\,50\,Hz\]. The value of voltage after \[\frac{1}{600}s\] from the start is:

    A) \[200\,V\]                      

    B) \[\frac{200}{\sqrt{2}}V\]

    C) \[100\,V\]                      

    D) \[50\,V\]

    Correct Answer: C

    Solution :

    (c) \[100\,V\]             \[{{V}_{rms}}=\frac{200}{\sqrt{2}}V\]             \[{{V}_{0}}=\sqrt{2}\,{{V}_{rms}}=\sqrt{2}\times \frac{200}{\sqrt{2}}=200\,V\]             \[V={{V}_{0}}\sin \,2\pi vt=200\,\sin \,\left( 2\pi \times 50\times \frac{1}{600} \right)\]             \[=200\,\sin \frac{\pi }{6}=200\times \frac{1}{2}=100\,V\]


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