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A transistor is operated in common emitter configuration at $V_C=2 \mathrm{~V}$ such that a change in the base current from $100 \mu \mathrm{A}$ to $300 \mu \mathrm{A}$ produces a change in the collector current from $10 \mathrm{~mA}$ to $20 \mathrm{~mA}$. The current gain is
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50
$\beta=\frac{\Delta I_C}{\Delta I_B}=\frac{(20-10) \mathrm{mA}}{(300-100) \mathrm{mA}}=\frac{10 \times 10^{-3}}{200 \times 10^{-6}}=50$
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