Question

If \[\alpha \] -current gain of a transistor is \[0.98\]. What is the value of \[\beta \] -current gain of the transistor?
A. \[0.49\]
B. \[49\]
C. \[4.9\]
D. \[5\]

Answer 1

Hint: In order to solve this problem, we know that alpha represents the current gain in the base configuration, whereas beta is the current gain in the common emitter mode. Beta is best defined as the change from the current in the collector to the current in the base region.

Formula used:
\[\beta = \dfrac{\alpha }{{1 - \alpha }}\] …… (1)

Complete step by step answer:
Given,
\[\alpha = 0.98\]
So,

Now we use equation (1) and substitute the required values.
Current gain,
$\beta = \dfrac{\alpha }{{1 - \alpha }} \\
\Rightarrow \beta = \dfrac{{0.98}}{{1 - 0.98}} \\
\Rightarrow \beta = 49 \\$

Hence, the required answer is \[49\].

So, the correct answer is “Option B”.

Additional Information:
Transistor: A transistor is a semiconductor device used for electronic signals and electrical power amplification or switching. It is composed of semiconductor material, normally connected to an external circuit by at least three terminals. Via another pair of terminals, a voltage or current applied to one pair of terminals of the transistor regulates the current. A transistor can amplify a signal because the controlled (output) power can be higher than the controlling (input) power. Some transistors are individually packaged today, but many more are found embedded in integrated circuits.

Note:
Two PN diodes linked back to back are composed of a transistor. It has three terminals: emitter, foundation and collector, respectively. The basic concept behind a transistor is that by adjusting the strength of a much smaller current that flows through a second channel, it lets you regulate the flow of current through one channel.