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What Are α And β Parameters for a Transistor? Obtain a Relation Between Them. - HSC Science (General) 12th Board Exam - Physics

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Question

What are α and β parameters for a transistor? Obtain a relation between them.

Solution

Alpha (αdc): It is defined as the ratio of collector current to emitter current.

`alpha_(dc)="I"_c/"I"_E` -----------------(Equation 1)

Beta (βdc): It is the current gain defined as the ratio of collector current to the base current.

`beta_(dc)="I"_c/"I"_B` --------------------(Equation 2)

Relation between αdc and βdc:

For a transistor,

IE = IB + IC (with Ic ≅ IE) -----------(Equation 3)

Divinding both the side of eqn.(3) with Ic ,we get :

`"I"_E/"I"_c="I"_B/"I"_C+1`

`1/alpha_(dc)=1/beta_(dc)+1`

`alpha_(dc)=beta_(dc)/(1+beta_(dc))` -----------------------(Equation 4)

 Or, `beta_(dc)=alpha_(dc)/(1-alpha_(dc))` ----------------------(Equation 5)

Equations (4) and (5) give the relation between αdc and βdc of a transistor.

  Is there an error in this question or solution?

APPEARS IN

 2014-2015 (March) (with solutions)
Question 7.2 | 3.00 marks
Solution What Are α And β Parameters for a Transistor? Obtain a Relation Between Them. Concept: Transistor and Characteristics of a Transistor.
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