# For a BJT, the common-base current gain $\alpha \; = \;0.98$ and the collector base junction reverse bias saturation current ICO = 0 .6 μA. This BJT

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For a BJT, the common-base current gain $\alpha \; = \;0.98$ and the collector base junction reverse bias saturation current ICO = 0 .6 μA. This BJT is connected in the common emitter mode and operated in the active region with a base drive current IB = 20 μA  . The collector current IC for this mode of operation is:
1. 0.98mA
2. 0.99mA
3. 1.0mA
4. 1.01mA

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Correct Answer - Option 4 : 1.01mA

Concept:

Current gain β is given as:

$\beta = \frac{\alpha }{{1 - \alpha }}$

Collector current in terms of reverse bias saturation current is given as:

${I_c}={β{I_B}}+{\left(1+β\right)}I_s$

Calculation:

Given:

Is = 0.6μA

α=0.98

IB= 20µA

$\beta = \frac{0.98}{{1 - 0.98}}=49$

putting values,

${I_c}={49\times{20μ{A}}}+{\left(50\right)}\times0.6μ{A}$

${I_c}=0.98{m}A+0.03{m}A=1.01mA$