If an emitter current is changed by 4 mA, the collector current changes by 3.5 mA. The value of β will be:

  1. 7
  2. 0.875
  3. 0.5
  4. 3.5

Answer (Detailed Solution Below)

Option 1 : 7
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JEE Main 04 April 2024 Shift 1
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Detailed Solution

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Explanation:

⇒ IE = IB+ IC     ,   

 \(\Delta I_{E} = \Delta I_{B} + \Delta I_{C}\)

Given : 

Change in emitter current = 4 mA

Change in collector current = 3.5 mA

 \(I_{E} = I_{B}+ I_{C}\)

 \(\Delta I_{E} = \Delta I_{B} + \Delta I_{C}\) 

 4 = \( \Delta I_{B} +\) 3.5

∴ Change in base current, \(\Delta I_{B} = 0.5~mA\)

Also we know that, the amplification factor, \(β = \frac{\Delta I_{c}}{\Delta I_{B}}\)    
\( ⇒ β = \frac{3.5}{0.5} \)  => β  = 7

  Hence, Option A is correct.

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