JEE Main & Advanced Physics Communication System / संचार तंत्र Question Bank Critical Thinking

  • question_answer
    The antenna current of an AM transmitter is 8 A when only carrier is sent but increases to 8.96 A when the carrier is sinusoidally modulated. The percentage modulation is

    A)            50%                                          

    B)            60%

    C)            65%                                          

    D)            71%

    Correct Answer: D

    Solution :

                       We know that \[{{\left( \frac{{{I}_{t}}}{{{I}_{c}}} \right)}^{2}}=1+\frac{{{m}^{2}}}{2}\] Here, \[{{I}_{t}}=8.96A\] and \[{{I}_{c}}=8A\] \ \[{{\left( \frac{8.96}{8} \right)}^{2}}=1+\frac{{{m}^{2}}}{2}\] or \[1.254=1+\frac{{{m}^{2}}}{2}\] or \[\frac{{{m}^{2}}}{2}=0.254\] or \[{{m}^{2}}=0.508\] or m = 0.71 = 71%


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