12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank MCQ - Alternating Currents

  • question_answer
    A circuit containing a \[20\,\Omega \] resistor and \[0.1\text{ }\mu F\]capacitor in series is connected to 230V AC supply of angular frequency \[100\text{ }rad\text{ }{{s}^{-1}}\]. The impedance of the circuit is:

    A) \[{{10}^{5}}\Omega \]                        

    B) \[{{10}^{4}}\Omega \]

    C) \[{{10}^{6}}\Omega \]            

    D) \[{{10}^{10}}\Omega \]

    Correct Answer: A

    Solution :

    (a) \[{{10}^{5}}\Omega \] Here,       \[R=20\,\Omega ,\,C=0.1\,\mu F\]             \[=0.1\times {{10}^{-6}}F={{10}^{-7}}F\] Impedance, \[Z=\sqrt{{{R}^{2}}+\frac{1}{{{\omega }^{2}}{{C}^{2}}}}=\sqrt{{{20}^{2}}+\frac{1}{{{(100)}^{2}}\times {{({{10}^{-7}})}^{2}}}}\] \[=\sqrt{400+{{10}^{10}}}={{10}^{5}}\Omega \]


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