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KVPY Sample Paper KVPY Stream-SX Model Paper-18

  • question_answer
    The voltage and the current of an a.c. circuit are \[V=100\text{ }sin\,\,(\,100\,\,t\,)\] volt and \[i=100\text{ }sin\text{ }(100\,\,t+\pi /3)\text{ }mA\] respectively. The power dissipated in the circuit is -

    A) \[{{10}^{4}}\,\,W\]

    B) 10 W

    C) 2.5 W

    D) 5.0 W

    Correct Answer: C

    Solution :

    Power \[={{V}_{rms}}\times {{i}_{rms}}\cos \phi \]        \[\left( \phi =\frac{\pi }{3} \right)\] Power \[=\frac{100}{\sqrt{2}}\times \frac{100\times {{10}^{-3}}}{\sqrt{2}}\times \cos \frac{\pi }{3}\] \[=\frac{10000\times {{10}^{-3}}}{2}\times \frac{1}{2}=2.5\,\,Watt\]


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