Question:

A transistor is operated in common emitter configuration at constant collector voltage VC = 1.5 V such that a change in the base current from 100 µA to 150 µA produces a change in the collector current from 5 mA to 10 mA. The current gain (β) is :

Updated On: Oct 13, 2023
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The Correct Option is C

Solution and Explanation

Transistor Current Gain (\(\beta\)): \(\beta\) (current gain) is given by the change in collector current (\(\triangle \text{I}_C\)) divided by the change in base current (\(\triangle \text{I}_B\)). 
In this case, \(\triangle \text{I}_C\) = 10 mA - 5 mA = 5 mA 

and \(\triangle \text{I}_B\) = 150 μA - 100 μA = 50 μA. 

So, \(\beta\) = \(\frac{\triangle \text{I}_C}{\triangle \text{I}_B}\) =\(\frac{5 mA}{50 \mu A}\) = 100.

Therefore, the correct option is (C): 100

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