JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Self Evaluation Test - Alternating Current

  • question_answer
    The voltage of an ac supply varies with time (t) I as\[V=120\,\sin \,100\pi \,t\,\cos \,100\pi t\]. The maximum voltage and frequency respectively are

    A) 120 volts, 100 Hz

    B) \[\frac{120}{\sqrt{2}}volts,\,\,100Hz\]

    C) 60 volts, 200 Hz 

    D) 60 volts, 100 Hz

    Correct Answer: D

    Solution :

    [d] Given, \[V=120\,\sin \,(100\pi t)\,\cos \,(100\pi t)\] \[=60[2\,\sin \,(100\pi t).\cos \,(100\pi t)]=60\,\sin \,200\pi t\] Thus,\[{{V}_{0}}=60\,V\],\[\omega =200\pi \]or.  \[f=\frac{200\pi }{2\pi }=100Hz\]


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