JEE Main & Advanced Physics Semiconducting Devices Question Bank Critical Thinking

  • question_answer
    In the grid circuit of a triode a signal \[E=2\sqrt{2}\cos \omega t\] is applied. If m = 14 and rp =10 kW then root mean square current flowing through \[{{R}_{L}}=12\,k\Omega \] will be

    A)            1.27 mA                                  

    B)            10 mA

    C)            1.5 mA                                    

    D)            12.4 mA

    Correct Answer: A

    Solution :

                       \[A=\frac{\mu {{R}_{L}}}{{{r}_{p}}+{{R}_{L}}}=\frac{14\times 12}{10+12}=\frac{84}{11}\]. Peak value of output signal \[{{V}_{0}}=\frac{84}{11}\times 2\sqrt{2}V\] Þ \[{{V}_{rms}}=\frac{{{V}_{0}}}{\sqrt{2}}=\frac{84\times 2}{11}V\] Þ  r.m.s. value of current through the load \[=\frac{84\times 2}{11\times 12\times {{10}^{3}}}A=1.27\,mA\]


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