Q. A change of 8.0 mA in the emitter current brings a change of 7.9 mA in the collector current. The values of $\alpha\ and\ \beta$ are

A) 0.99, 90
B) 0.96, 79
C) 0.97, 99
D) 0.99, 79
Explanation

(d) Given that, change in emitter current, ${\mathrm{\Delta}I}_{E} =$ 8 mA
and change in collector current, ${\mathrm{\Delta}I}_{C} = 7.9$ mA
We know that,
$\alpha = \frac{{\mathrm{\Delta}I}_{C}}{{\mathrm{\Delta}I}_{E}}$
$\Rightarrow = \frac{7.9}{8} \Rightarrow$ $\alpha \approx$0.99
Also, we know that
$\beta = \frac{\alpha}{1 - \alpha}$
$\Rightarrow = \frac{\frac{7.9}{8}}{1 - \frac{7.9}{8}} = \frac{7.9}{8 - 7.9}$
Or $\beta = \frac{7.9}{0.1}$ = 79
Hence, the required answer is $\alpha =$0.99 and $\beta = 79.$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.