NEET Sample Paper NEET Sample Test Paper-70

  • question_answer
    What is the r.m.s. value of an alternating current which when passed through a resistor produces heat which is thrice of that produced by a  direct current of 2 amperes in the same resistor

    A) 6 amp             

    B) 2 amp

    C) 3.46 amp                    

    D) 0.66 amp

    Correct Answer: C

    Solution :

    \[\operatorname{Heat} produced by\,\,ac = 3\,\,\times \, Heat produced by dc\] \[\therefore \,\,\,\,\,\,\,{{i}^{2}}_{rms}Rt=3\times {{i}^{2}}RT\,\,\,\,\,\Rightarrow \,\,\,\,{{i}^{2}}_{rms}=3\times {{2}^{2}}\] \[\Rightarrow \,\,\,{{i}_{rms}}=2\sqrt{3}\,\,=\,\,3.46\,\,A\,\]


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