RAJASTHAN PMT Rajasthan - PMT Solved Paper-1995

  • question_answer
    Value of current in an A.C. circuit is \[I=2\cos \omega t+\theta ),\]then the value of\[{{I}_{rms}}\]is:

    A) \[\sqrt{\text{2}}\text{A}\]

    B)                        \[\frac{\text{1}}{\sqrt{\text{2}}}\text{A}\]         

    C)        \[\text{2A}\]     

    D)                        \[\frac{\text{1}}{2}\text{A}\]

    Correct Answer: A

    Solution :

                    \[I=2\cos (\omega t+\theta )\] Comparing this equation with \[I={{I}_{0}}\cos (\omega t+\phi )\] \[{{I}_{0}}=2amp\] \[{{I}_{rms}}=\frac{{{i}_{0}}}{\sqrt{2}}=\frac{2}{\sqrt{2}}=\sqrt{2}amp\]


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