In the study of transistor as an amplifier, if \[\alpha ={{I}_{c}}/{{I}_{e}}\] and \[\beta ={{I}_{c}}/{{I}_{b}},\] where \[{{I}_{c}},{{I}_{b}}\] and Ie are the collector, base and emitter currents, then [CBSE PMT 2000; KCET 2000; Orissa JEE 2005]

\[\beta =\frac{\alpha }{1+\alpha }\]

\[\beta =\frac{1-\alpha }{\alpha }\]

\[\beta =\frac{\alpha }{1-\alpha }\]

\[\beta =\frac{1+\alpha }{\alpha }\]

In the study of transistor as an amplifier, if \[\alpha ={{I}_{c}}/{{I

1.	In the study of transistor as an amplifier, if \[\alpha ={{I}_{c}}/{{I}_{e}}\] and \[\beta ={{I}_{c}}/{{I}_{b}},\] where \[{{I}_{c}},{{I}_{b}}\] and Ie are the collector, base and emitter currents, then [CBSE PMT 2000; KCET 2000; Orissa JEE 2005]
A.	\[\beta =\frac{1-\alpha }{\alpha }\]
B.	\[\beta =\frac{\alpha }{1-\alpha }\]
C.	\[\beta =\frac{\alpha }{1+\alpha }\]
D.	\[\beta =\frac{1+\alpha }{\alpha }\]
Answer» C. \[\beta =\frac{\alpha }{1+\alpha }\]