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

  • question_answer
    If the rms current in a 50 Hz AC circuit is 5 A. the value of the current 1/300 seconds after its value becomes zero is:                                                                                             (NCERT EXEMPLAR)

    A) \[5\sqrt{2}\,A\]              

    B) \[5\sqrt{\frac{3}{2}}\,A\]

    C) \[\frac{5}{6}A\]                        

    D) \[\frac{5}{\sqrt{2}}A\]

    Correct Answer: A

    Solution :

    (b) \[5\sqrt{\frac{3}{2}}\,A\] Here, \[{{l}_{rms}}=5A,\,v=50\,Hz,\,\,t=\frac{1}{300}s\] \[{{l}_{0}}=\sqrt{2}\,\,{{l}_{rms}}=5\sqrt{2}\,\,A,\] \[l={{l}_{0}}\sin \omega t={{l}_{0}}\sin \,\,2\pi vt\] \[=5\sqrt{2}\sin \left( 2\pi \times 50\times \frac{1}{300} \right)\] \[=5\sqrt{2}\sin \frac{\pi }{3}=5\sqrt{2}\frac{\sqrt{3}}{2}=5\sqrt{\frac{3}{2}}A\]


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