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Question:

For a common emitter configuration, if α and β have their usual meanings, the correct relationship between α and β is:

1α=1β+1

α=β1+β

α=β1−β

α=β21+β2

Solution:

We know, collector current is given as
IC=βIB
Also, IC=αIE
Using, IE=IB+IC
ICα=ICβ+IC
Solving above equations,
1α=1+1β
α=β1+β