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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    An alternating current of frequency / is flowing in a circuit containing a resistance R and choke L in series. The impedance of this circuit is

    A)  \[\sqrt{{{R}^{2}}+\,{{(2\pi fL)}^{2}}}\]      

    B)  \[\sqrt{{{R}^{2}}+\,{{(2\pi {{f}^{2}})}^{2}}}\]

    C)  \[\sqrt{{{R}^{2}}+\,L\pi {{f}^{2}}}\]         

    D)   \[{{R}^{2}}-\,{{(2\pi {{f}^{2}})}^{2}}\]

    Correct Answer: A

    Solution :

     \[Z=\sqrt{{{R}^{2}}+X_{L}^{2}}\] \[=\sqrt{{{R}^{2}}+{{(\omega L)}^{2}}}\] \[=\sqrt{{{R}^{2}}+{{(2\pi fL)}^{2}}}\]


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