12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank MCQs - Alternating Current

  • question_answer
    The heat produced in a given resistance in a given time by the sinusoidal current \[{{\operatorname{I}}_{0}}\] sin cot will be the same as heat produced by a steady current of magnitude

    A) 0.707 \[{{\operatorname{I}}_{0}}\]

    B) 1.412 \[{{\operatorname{I}}_{0}}\]

    C)  \[{{\operatorname{I}}_{0}}\]

    D) \[\surd {{\operatorname{I}}_{0}}\]

    Correct Answer: A

    Solution :

    Option [a] is correct.
    Explanation: Heat produced by AC is
    Heat produced by DC is \[{{\operatorname{I}}^{2}}R\]
    \[\operatorname{I}_{RMS}^{2}={{I}^{2}}R\]
    \[\therefore I={{\operatorname{I}}_{rms}}={{I}_{0}}\]=√2=\[0.077{{\operatorname{I}}_{0}}\]


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