JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा JEE PYQ-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:[JEE ONLINE 09-04-2014]

    A) 50 V

    B) 70 V

    C) 90 V

    D) 100 V

    Correct Answer: C

    Solution :

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


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