CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    A resistor \[30\,\Omega ,\] inductor of reactance \[10\,\Omega \] and capacitor of reactance \[10\,\Omega \] are connected in series   to   an   AC   voltage    source\[e=300\sqrt{2}\,sin(\omega t)\]. The current in the circuit is

    A)  \[10\sqrt{2}A\]         

    B)         \[10\text{ }A\]

    C)                         \[30\sqrt{11}A\]       

    D)        \[30\sqrt{11}\text{ }A\]

    E)  5 A

    Correct Answer: B

    Solution :

    \[e=300\sqrt{2}\sin \omega t\]                       ... (i) \[{{I}_{0}}=\frac{{{e}_{0}}}{Z}=\frac{300\sqrt{2}}{\sqrt{{{(30)}^{2}}+{{(10-10)}^{2}}}}\]                                                 \[\{\because Z=\sqrt{{{R}^{2}}+{{X}_{L}}-{{X}_{C}}{{)}^{2}}}\}\] \[=\frac{300\sqrt{2}}{30}=10\sqrt{2}A\] \[\therefore \]  Current\[I=\frac{{{I}_{0}}}{\sqrt{2}}=10\,A\]


You need to login to perform this action.
You will be redirected in 3 sec spinner