JCECE Medical JCECE Medical Solved Paper-2005

  • question_answer
    An  alternating .current  is ' given  by \[i={{i}_{1}}\cos \,\omega t+{{i}_{2}}\sin \omega t.\]The rms current is given by:

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

    B)  \[\frac{{{i}_{1}}-{{i}_{2}}}{\sqrt{2}}\]

    C)  \[\sqrt{\left( \frac{i_{1}^{2}+i_{2}^{2}}{2} \right)}\]

    D)  \[\sqrt{\left( \frac{i_{1}^{2}-i_{2}^{2}}{2} \right)}\]

    Correct Answer: C

    Solution :

     The root mean square value of current is given by        \[{{i}_{rms}}=\sqrt{\frac{i_{1}^{2}+i_{2}^{2}}{2}}\]


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