J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    If \[\beta ,{{R}_{L}}\] and r are the AC current gain, load resistance and the input resistance of a transistor respectively in CE configuration, the voltage and the power gains respectively are

    A)  \[\beta \frac{{{R}_{L}}}{r}\] and \[{{\beta }^{3}}\frac{{{R}_{L}}}{r}\]

    B)  \[\beta \frac{r}{{{R}_{L}}}\] and \[{{\beta }^{2}}\frac{r}{{{R}_{L}}}\]

    C)  \[\beta \frac{{{R}_{L}}}{r}\] and \[\beta {{\left( \frac{{{R}_{L}}}{r} \right)}^{2}}\]

    D)  \[\beta \frac{r}{{{R}_{L}}}\] and \[\beta {{\left( \frac{r}{{{R}_{L}}} \right)}^{2}}\]

    Correct Answer: A

    Solution :

    Transistor as CE amplifier Voltage gain \[{{A}_{V}}=\frac{\Delta {{V}_{0}}}{\Delta {{V}_{i}}}={{\beta }_{AC}}\times \] Resistance gain \[=\beta \times \frac{{{R}_{L}}}{r}\] Power gain \[=\frac{\Delta {{P}_{0}}}{\Delta {{P}_{i}}}=\beta _{AC}^{2}\times \] Resistance gain \[={{\beta }^{2}}\times \frac{{{R}_{L}}}{r}\]


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