For a transistor, current gain $(\beta)=50$. To change the collector current by $350 \mu \mathrm{~A}$, the…

For a transistor, current gain $(\beta)=50$. To change the collector current by $350 \mu \mathrm{~A}$, the base current should be changed by
  1. $\left(\frac{50}{350}\right) . \mu \mathrm{A}$
  2. $\quad(350-50) \mu \mathrm{A}$
  3. $\quad(350+50) \mu \mathrm{A}$
  4. $\left(\frac{350}{50}\right) \mu \mathrm{A}$

Solution

$\begin{aligned} & \beta=\frac{\Delta \mathrm{I}_{\mathrm{C}}}{\Delta \mathrm{I}_{\mathrm{B}}} \\ \therefore \quad & \Delta \mathrm{I}_{\mathrm{B}}=\frac{\Delta \mathrm{I}_{\mathrm{C}}}{\dot{\beta}}=\frac{350}{50} \mu \mathrm{~A}\end{aligned}$

Asked in: MHT CET 2024 (15 May Shift 1)

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