In common emitter mode of transistor, the d.c. current gain is 20 , the emitter current is $7 \mathrm{~mA}$.…

In common emitter mode of transistor, the d.c. current gain is 20 , the emitter current is $7 \mathrm{~mA}$. The collector current is
  1. $16 / 3 \mathrm{~mA}$
  2. $13 / 3 \mathrm{~mA}$
  3. $8 / 3 \mathrm{~mA}$
  4. $20 / 3 \mathrm{~mA}$

Solution

$\beta=\frac{I_{C}}{I_{B}}=20$ $\frac{I_{C}}{I_{E}-I_{C}}=20 \quad \frac{I_{E}-I_{C}}{I_{C}}=\frac{1}{20}$ $\frac{I_{E}}{I_{C}}-1=\frac{1}{20} \quad \frac{I_{E}}{I_{C}}=\frac{1}{20}+1=\frac{21}{20}$ $I_{C}=\frac{20}{21} \times 7=\frac{20}{3} \mathrm{~mA}$ :

Asked in: MHT CET 2020 (15 Oct Shift 1)

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