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JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Self Evaluation Test - Alternating Current

  • question_answer
    When the rms voltages \[{{V}_{L}}\], \[{{V}_{C}}\] and \[{{V}_{R}}\]are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio \[{{V}_{L}}:{{V}_{C}}:{{V}_{R}}=1:2:3\]. If the rms voltage of the AC sources is 100 V, the \[{{V}_{R}}\] is close to:

    A) 50V     

    B) 70V

    C) 90V

    D) 100V

    Correct Answer: C

    Solution :

    [c] Given, \[{{V}_{L}}:{{V}_{C}}:{{V}_{R}}=1:2:3\] \[V=100V\,\,\,{{V}_{R}}=?\] As we know, \[V=\sqrt{V_{R}^{2}+{{({{V}_{L}}-{{V}_{C}})}^{2}}}\] Solving we get, \[{{V}_{R}}\simeq 90V\] 


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