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If the base current is 30 μA and current gain is 50, then the collector current will be :

  • A.15 mA
  • B.1.5 mA
  • C.150 mA
  • D.1.5 A

Answer: B

The collector current is 1.5 mA.

The current gain \(\beta\) relates collector current to base current:

\[ \begin{aligned} I_{C} &= \beta I_{B} = 50 \times 30\ \mu\text{A} \\ &= 1500\ \mu\text{A} = 1.5\ \text{mA} \end{aligned} \]

15 mA and 150 mA come from slipping the decimal point by one or two places when converting microamperes to milliamperes, and 1.5 A treats the base current as 30 mA. A useful check is that small-signal transistors biased with tens of microamperes of base current carry collector currents of a few milliamperes.

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