JEE Main & Advanced Physics Semiconducting Devices Question Bank Junction Transistor

  • question_answer
    In the study of transistor as an amplifier, if \[\alpha ={{I}_{c}}/{{I}_{e}}\] and \[\beta ={{I}_{c}}/{{I}_{b}},\] where \[{{I}_{c}},{{I}_{b}}\] and Ie are the collector, base and emitter currents, then  [CBSE PMT 2000; KCET 2000; Orissa JEE 2005]

    A)            \[\beta =\frac{1-\alpha }{\alpha }\]                               

    B)            \[\beta =\frac{\alpha }{1-\alpha }\]

    C)            \[\beta =\frac{\alpha }{1+\alpha }\]                              

    D)            \[\beta =\frac{1+\alpha }{\alpha }\]

    Correct Answer: B

    Solution :

                       As we know \[{{i}_{E}}={{i}_{C}}+{{i}_{B}}\] \[\Rightarrow \frac{{{i}_{e}}}{{{i}_{c}}}=1+\frac{{{i}_{b}}}{{{i}_{c}}}\]\[\Rightarrow \frac{1}{\alpha }=1+\frac{1}{\beta }\]\[\Rightarrow \beta =\frac{\alpha }{1-\alpha }\].


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