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

  • question_answer
    The relation between an AC voltage source and time in SI units is \[V=120\,\sin \,\,(100\pi t)\,\,cos\,\,(100\pi t)V\]. The value of peak voltage and frequency will be respectively:

    A) 120 V and 100 Hz    

    B) \[\frac{120}{\sqrt{2}}V\]and 100 Hz

    C) 60 V and 200 Hz    

    D) 60 V and 100 Hz

    Correct Answer: D

    Solution :

    (d) 60 V and 100 Hz             \[V=120\,\sin \,\,(100\pi t)\,\,cos\,\,(100\,\pi t)V\] \[=60\,\sin \,(200\pi t)V(\because \,sin\,2\theta =2sin\theta cos\theta )\]Compare it with standard equation, \[V={{V}_{0}}\sin \,\omega t\] We get.              \[{{V}_{0}}=60\,V\] and      \[\omega =200\pi \] or \[2\pi v=200\pi \] or \[v=100\,Hz\]


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