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Question

When the base current in a transistor is changed from 30µA to 80µA, the collector current is changed from 1.0 mA to 3.5 mA. Find the current gain β.

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Solution

Given:
Change in the base current, δIb=(80-30) μA
Change in the collector current, δIc=(3.5-1) mA
Base current gain = Rate of change of collector current with respect to base current
Thus,
β=δlcδlb at constant Vccβ=2.5×10-350×10-6β=25050=50
∴ Current gain = 50

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