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MGIMS WARDHA MGIMS WARDHA Solved Paper-2014

  • question_answer
    The instantaneous current and voltage of an AC circuit are given by \[I=10sin\text{ }300t\text{ }A\text{ }and\text{ }V=200\text{ }sin\text{ }300t\text{ }V\]. The power dissipation in the circuit is

    A)  500 W                  

    B)  2000 W

    C)  1000W                

    D)  100W

    Correct Answer: C

    Solution :

                    The instantaneous current and voltage of an AC circuit are given by \[i=10\text{ }sin\text{ }300t\text{ }A\text{ }and\text{ }V=200\text{ }sin\text{ }300t\text{ }V.\] The average power loss over a complete cycle is given by                 \[p=V/\cos \phi \] where, V and\[I\]are the rms value of voltage and current, Here phase difference \[\phi =0{}^\circ \] The average power loss over a complete cycle \[P=\frac{10}{\sqrt{2}}\times \frac{200}{\sqrt{2}}\times \cos 0{}^\circ =1000\,W\]


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