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NEET Sample Paper NEET Sample Test Paper-84

  • 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) 50 V    

    B)                    70 V

    C) 90 V    

    D)        100 V

    Correct Answer: C

    Solution :

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


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