JEE Main & Advanced Physics Semiconducting Devices Question Bank Critical Thinking

  • question_answer
    The linear portions of the characteristic curves of a triode valve give the following readings                          [Roorkee 1985]
    \[{{V}_{g}}\](volt) 0 ? 2 ? 4 ? 6
    \[{{I}_{p}}(mA)\] for \[{{V}_{p}}=150\] volts 15 12.5 10 7.5
    \[{{I}_{p}}(mA)\] for \[{{V}_{p}}=120\] volts 10 7.5 5 2.5
    The plate resistance is

    A)            2000 ohms                            

    B)            4000 ohms

    C)            8000 ohms                            

    D)            6000 ohms

    Correct Answer: D

    Solution :

                       \[{{g}_{m}}={{\left( \frac{\Delta {{i}_{p}}}{\Delta {{V}_{g}}} \right)}_{{{V}_{p}}=\,\text{constant}}}=\frac{(15-10)\times {{10}^{-\,3}}}{0\,-\,(-\,4)}=1.25\times {{10}^{-3}}\Omega \] \[\mu ={{\left( \frac{\Delta {{V}_{p}}}{\Delta {{V}_{g}}} \right)}_{{{I}_{p}}=\,\text{constant}}}=\frac{150-120}{0-\,\,(-\,4)}=7.5\] \ \[{{r}_{p}}=\frac{\mu }{{{g}_{m}}}=\frac{7.5}{1.25\times {{10}^{-3}}}=6000\]ohms


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