In a transistor, the collector current varies by 0.49 mA and emitter current varies by 0.50 mA . Current gain β measured is

Question

In a transistor, the collector current varies by 0.49 mA and emitter current varies by 0.50 mA . Current gain β measured is (A) 49 (B) 150 (C) 99 (D) 100

Tardigrade Admin · Accepted Answer

Given, ÎIC=0.49 mA=0.49× 10- 3 A ÎIE=0.50 mA=0.50× 103 A α =(ÎIC/ÎIE) β =(α /1 - α )=((0 .49/0 .50)/1 - (0 .49)0 .50) =(49/50 (1 - (49)50)) =(49 × 50/50 (50 - 49)) β =49

Q. In a transistor, the collector current varies by $0.49 m A$ and emitter current varies by $0.50 m A$ . Current gain $β$ measured is

$49$

$150$

$99$

$100$

Given,
$Δ I_{C} = 0.49 m A = 0.49 \times 1 0^{- 3} A$
$Δ I_{E} = 0.50 m A = 0.50 \times 1 0^{3} A$
$α = \frac{Δ I _{C}}{Δ I _{E}}$
$β = \frac{α}{1 - α} = \frac{\frac{0.49}{0.50}}{1 - \frac{0.49}{0.50}}$
$= \frac{49}{50 ( 1 - \frac{49}{50} )}$
$= \frac{49 \times 50}{50 ( 50 - 49 )}$
$β = 49$

Q. In a transistor, the collector current varies by 0.49mA and emitter current varies by 0.50mA . Current gain β measured is

49

150

99

100

Given, ΔIC​=0.49mA=0.49×10−3A ΔIE​=0.50mA=0.50×103A α=ΔIE​ΔIC​​ β=1−αα​=1−0.500.49​0.500.49​​ =50(1−5049​)49​ =50(50−49)49×50​ β=49

Q. In a transistor, the collector current varies by $0.49 m A$ and emitter current varies by $0.50 m A$ . Current gain $β$ measured is

$49$

$150$

$99$

$100$