Manipal Medical Manipal Medical Solved Paper-2004

  • question_answer
    A circuit consists of a resistor/an inductor and a capacitor connected in series. If the resistance of a resistor is\[25\,\Omega \]and the value of inductive reactance is equal to capacitive reactance, then the net impedance of the circuit will be:

    A)  \[5\,\Omega \]

    B)  \[25\,\Omega \]

    C)  \[125\,\Omega \]

    D)  \[625\,\Omega \]

    Correct Answer: B

    Solution :

     The impedance of the LCR circuit is given by \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] Or \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{L}})}^{2}}}\] \[=R\] \[(\because {{X}_{L}}={{X}_{C}})\] \[\therefore \] \[Z=25\,\Omega \] \[(\because R=25\,\Omega )\]


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