Q. The correct relation between the two current gains $\alpha\ and\ \beta$ in a transistor is
A) $\beta = \frac{\alpha}{1 + \alpha}$
B) $\alpha = \frac{\beta}{1 - \beta}$
C) $\alpha = \frac{\beta}{1 + \beta}$
D) $\alpha = \frac{1 + \beta}{\beta}$
Explanation
(c) $I_{e} = I_{b} + I_{c}\ \ \ or\ \ \ \frac{I_{e}}{I_{c}} = \frac{I_{b}}{I_{c}} + 1$
or $\frac{1}{\alpha} = \frac{1}{\beta} + 1 = \frac{1 + \beta}{\beta}\ \ or\ \ \alpha = \frac{\beta}{1 + \beta}.$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.