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

  • question_answer
    Figure shows a series LCR circuit connected to a variable frequency 230 V source. The source frequency which drives the circuit in resonance is:

    A) 4 Hz    

    B)             5 Hz   

    C) 6 Hz                             

    D) 8 Hz

    Correct Answer: D

    Solution :

    (d) 8 Hz Here,    \[L=5\,H,\,\,C=80\,\mu F=80\times {{10}^{-6}}F;R=40\Omega \] \[{{V}_{rms}}=230\,V\] The resonant angular frequency is \[{{\omega }_{r}}=\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{5\times 80\times {{10}^{-6}}}}=50\,rad\,{{s}^{-1}}\] \[\therefore {{v}_{r}}=\frac{{{\omega }_{r}}}{2\pi }=\frac{50}{2\pi }=8\,Hz\]


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