The current amplification factor α of a common base transistor and the current amplification factor β of a common emitter transistor are not related by

Question

The current amplification factor α of a common base transistor and the current amplification factor β of a common emitter transistor are not related by (A) α = (β/1+β) (B) β= (α/1-α) (C) (1/α) -(1/β) = 1 (D) β= (α/1+α)

Tardigrade Admin · Accepted Answer

As β = (α/1-α), so α = (β/1+β) and (1/α) = (1/β) +1

Q. The current amplification factor $α$ of a common base transistor and the current amplification factor $β$ of a common emitter transistor are not related by

$α = \frac{β}{1 + β}$

$β = \frac{α}{1 - α}$

$\frac{1}{α} - \frac{1}{β} = 1$

$β = \frac{α}{1 + α}$

As $β = \frac{α}{1 - α}$ ,
so $α = \frac{β}{1 + β}$ and $\frac{1}{α} = \frac{1}{β} + 1$

Q. The current amplification factor α of a common base transistor and the current amplification factor β of a common emitter transistor are not related by

α=1+ββ​

β=1−αα​

α1​−β1​=1

β=1+αα​

As β=1−αα​, so α=1+ββ​ and α1​=β1​+1