If the value of the common base current gain (α) is 0.98, then the value of the common collector current gain (γ) is ________.

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SSC JE Electrical 07 Jun 2024 Shift 3 Official Paper - 1
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  1. 98
  2. 0.02
  3. 49
  4. 50

Answer (Detailed Solution Below)

Option 4 : 50
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Detailed Solution

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Concept

The relationship between the common base current gain (α) and the common collector current gain (γ) in a bipolar junction transistor (BJT) can be expressed as:

\(γ={1\over 1-α}\)

The relationship between the common base current gain (α) and the common emitter current gain (β) is:

\(α={β\over 1+β}\)

Calculation

Given, α = 0.98

\(γ={1\over 1-0.98}=50\)

Additional Information
1.) Common emitter current gain (β)

\(\beta={I_C\over I_B}\)

2.) Common base current gain (α)

\(\alpha={I_C\over I_E}\)

3.) Common collector current gain (γ)

\(\beta={I_E\over I_B}\)

where, IC = Collector current

IB = Base Current

IE = Emitter current

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