The correct relation between α (ratio of collector current to emitter current) and β (ratio of collector current to base current) of a transistor is:

Question

The correct relation between α (ratio of collector current to emitter current) and β (ratio of collector current to base current) of a transistor is: (A) β=(α/1+α) (B) α=(β/1-α) (C) β=(1/1-α) (D) α=(β/1+β)

Tardigrade Admin · Accepted Answer

α=( I c / I R ), β=( I C / I B ) I E = I B + I C α=( I C / I B + I C )=(1/( I B ) I C +1) α=(1/(1)β+1) α=(β/1+β)

Q. The correct relation between $α$ (ratio of collector current to emitter current) and $β$ (ratio of collector current to base current) of a transistor is:

$β = \frac{α}{1 + α}$

$α = \frac{β}{1 - α}$

$β = \frac{1}{1 - α}$

$α = \frac{β}{1 + β}$

$α = \frac{I _{c}}{I _{R}}, β = \frac{I _{C}}{I _{B}}$
$I_{E} = I_{B} + I_{C}$
$α = \frac{I _{C}}{I _{B} + I _{C}} = \frac{1}{\frac{I _{B}}{I _{C}} + 1}$
$α = \frac{1}{\frac{1}{β} + 1}$
$α = \frac{β}{1 + β}$

Q. The correct relation between α (ratio of collector current to emitter current) and β (ratio of collector current to base current) of a transistor is:

β=1+αα​

α=1−αβ​

β=1−α1​

α=1+ββ​