NEET Sample Paper NEET Sample Test Paper-67

  • question_answer
    A group of electric lamps having a total power rating of 1000 watt is supplied by an ac voltage E \[\operatorname{E}=200 sin \left( 310\,t +60{}^\circ  \right)\]. Then the rms value of the circuit current is

    A) 10 A    

    B)   \[10\sqrt{2}\,A\]

    C) 20 A                

    D) \[20\sqrt{2}\,A\]

    Correct Answer: B

    Solution :

    \[P=\frac{1}{2}\,{{V}_{0}}{{i}_{0}}\cos \phi \,\,\Rightarrow \,\,1000=\frac{1}{2}\,\times \,200\times \,\,{{i}_{0}}\cos \,60{}^\circ \] \[\Rightarrow \,\,\,{{i}_{0}}=20\,A\,\,\Rightarrow \,\,{{i}_{rms}}=\frac{{{i}_{0}}}{\sqrt{2}}\,=\frac{20}{\sqrt{2}}=10\sqrt{2}\,A\]


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