The current gain for a transistor working as common base amplifier is 0.96 . If the emitter current is $7.2…

The current gain for a transistor working as common base amplifier is 0.96 . If the emitter current is $7.2 \mathrm{~mA}$, then the base current is
  1. $0.29 \mathrm{~mA}$
  2. $0.35 \mathrm{~mA}$
  3. $0.39 \mathrm{~mA}$
  4. $10 \mathrm{~mA}$

Solution

Given, current gain, $\alpha=0.96$ Emitter current, $I_E=7.2 \mathrm{~mA}=7.2 \times 10^{-3} \mathrm{~A}$ We know that, $ \begin{aligned} \alpha & =I_C / I_E \\ \Rightarrow \quad I_C & =\alpha \times I_E=0.96 \times 7.2 \times 10^{-3} \mathrm{~A}=6.91 \times 10^{-3} \mathrm{~A} \\ \text { Also, } I_E & =I_C+I_B \\ \Rightarrow \quad I_B & =I_E-I_C=(7.2-6.91) \times 10^{-3} \mathrm{~A} \\ & =0.29 \times 10^{-3} \mathrm{~A}=0.29 \mathrm{~mA} \end{aligned} $

Asked in: AP EAMCET 2021 (25 Aug Shift 1)

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