Answer
64.8k+ views
Hint The $\beta $ of the transistor is the gain or amplification factor of the transistor. It is the factor by which the current is amplified in the circuit. This factor for the transistor can be obtained by using the relation between $\alpha $ and $\beta $.
Formula used: - The relation between $\alpha $ and $\beta $ is –
$\alpha = \dfrac{\beta }{{\beta + 1}}$
Complete step by step solution
The semiconductor device which is used to amplify the electronic signals is called a transistor. A transistor is a type of a semiconductor device that can be used to both conduct and insulate electric current or voltage. A transistor basically acts as a switch and an amplifier. In simple words, we can say that a transistor is a miniature device that is used to control or regulate the flow of electronic signals.
The transistor is composed of three layers of semiconductor components. A voltage or current that is applied to any pair of terminals of the transistor controls the current through the pair of terminals. There are three terminals of the transistor:
Base – It is used to activate the transistor
Collector – This is the positive lead of the transistor
Emitter – This is the negative lead of the transistor
In the question, we have been given the two factors - $\alpha $ and $\beta $. So, let’s know something about it:
$\alpha $ factor of the transistor is the value that an emitter current is multiplied by to give the value of the collector current.
The $\beta $ of the transistor is the gain or amplification factor of the transistor. It is the factor by which the current is amplified in the circuit.
According to the question, it is given that –
$\alpha = 0.9$
The relation between $\alpha $ and $\beta $ is –
$
\alpha = \dfrac{\beta }{{\beta + 1}} \\
\Rightarrow \beta = \dfrac{\alpha }{{1 - \alpha }} \\
$
Putting the value of $\alpha $ -
$
\Rightarrow \beta = \dfrac{{0.9}}{{1 - 0.9}} \\
\therefore \beta = 9 \\
$
Hence, the value of $\beta $ is 0.9. Therefore, the correct option is (A).
Note If you have the value of emitter current of the transistor and you want to get the value of collector current then, the emitter current is multiplied by $\alpha $ to give the collector current.
Formula used: - The relation between $\alpha $ and $\beta $ is –
$\alpha = \dfrac{\beta }{{\beta + 1}}$
Complete step by step solution
The semiconductor device which is used to amplify the electronic signals is called a transistor. A transistor is a type of a semiconductor device that can be used to both conduct and insulate electric current or voltage. A transistor basically acts as a switch and an amplifier. In simple words, we can say that a transistor is a miniature device that is used to control or regulate the flow of electronic signals.
The transistor is composed of three layers of semiconductor components. A voltage or current that is applied to any pair of terminals of the transistor controls the current through the pair of terminals. There are three terminals of the transistor:
Base – It is used to activate the transistor
Collector – This is the positive lead of the transistor
Emitter – This is the negative lead of the transistor
In the question, we have been given the two factors - $\alpha $ and $\beta $. So, let’s know something about it:
$\alpha $ factor of the transistor is the value that an emitter current is multiplied by to give the value of the collector current.
The $\beta $ of the transistor is the gain or amplification factor of the transistor. It is the factor by which the current is amplified in the circuit.
According to the question, it is given that –
$\alpha = 0.9$
The relation between $\alpha $ and $\beta $ is –
$
\alpha = \dfrac{\beta }{{\beta + 1}} \\
\Rightarrow \beta = \dfrac{\alpha }{{1 - \alpha }} \\
$
Putting the value of $\alpha $ -
$
\Rightarrow \beta = \dfrac{{0.9}}{{1 - 0.9}} \\
\therefore \beta = 9 \\
$
Hence, the value of $\beta $ is 0.9. Therefore, the correct option is (A).
Note If you have the value of emitter current of the transistor and you want to get the value of collector current then, the emitter current is multiplied by $\alpha $ to give the collector current.
Recently Updated Pages
Write a composition in approximately 450 500 words class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What is the common property of the oxides CONO and class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What happens when dilute hydrochloric acid is added class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
If four points A63B 35C4 2 and Dx3x are given in such class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of square inscribed in a circle of diameter class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Other Pages
A boat takes 2 hours to go 8 km and come back to a class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Electric field due to uniformly charged sphere class 12 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
In the ground state an element has 13 electrons in class 11 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
According to classical free electron theory A There class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Excluding stoppages the speed of a bus is 54 kmph and class 11 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)