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NEET Sample Paper NEET Sample Test Paper-82

  • question_answer
    An AC current is given by\[I={{I}_{1}}\cos \,\omega t+{{I}_{2}}\,\sin \,\omega t\]. The root mean square current is

    A)  \[\frac{{{I}_{1}}+{{I}_{2}}}{\sqrt{2}}\]                     

    B)  \[\frac{{{({{I}_{1}}+{{I}_{2}})}^{2}}}{2}\]

    C)  \[\sqrt{\frac{I_{1}^{2}+I_{2}^{2}}{2}}\]                  

    D)  \[\sqrt{\frac{I_{1}^{2}-I_{2}^{2}}{2}}\]

    Correct Answer: C

    Solution :

    \[{{l}_{0}}=\sqrt{l_{1}^{2}+l_{2}^{2}}\] \[{{l}_{rms}}=\frac{{{l}_{0}}}{\sqrt{2}}=\sqrt{\frac{l_{1}^{2}+l_{2}^{2}}{2}}=\sqrt{\frac{l_{1}^{2}+l_{2}^{2}}{2}}\]


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