JEE Main & Advanced Physics Communication System / संचार तंत्र Question Bank Self Evaluation Test - Communication System

  • question_answer
    Calculate the power developed by an amplitude modulated wave in a load resistance of \[100\,\Omega ,\] if the peak voltage of carrier wave is \[100\text{ }V\] and modulation index is \[0.4\].

    A) 50 watt

    B) 54 watt

    C) 104 watt

    D) 4 watt

    Correct Answer: B

    Solution :

    [b] \[{{E}_{c}}=100\,V,\,\,\,{{m}_{a}}=0.4,\,R=100\Omega ,\] \[{{P}_{c}}=\frac{{{E}_{c}}^{2}}{2R}=\frac{{{(100)}^{2}}}{2\times 100}=50\] watt \[P=\left( 1+\frac{{{m}_{a}}^{2}}{2} \right){{P}_{c}}=\left[ 1+\frac{{{(0.4)}^{2}}}{2} \right]\times 50=54\]watt


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