Question:

In a common emitter transistor circuit, if the emitter current is changed by 4 mA, the collector current changes by 3.5 mA, then the current gain is

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In a common emitter transistor circuit, the current gain (\(\beta\)) is given by: \[ \beta = \frac{\Delta I_C}{\Delta I_B} \] where \( I_B = I_E - I_C \). Always use this formula when dealing with transistor current gain calculations.
Updated On: May 5, 2026
  • \(0.875\)
  • \(3.5\)
  • \(7\)
  • \(0.5\)
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The Correct Option is C

Solution and Explanation

Step 1: Current gain definition

\[ \beta = \frac{\Delta I_C}{\Delta I_B} \]

\[ I_E = I_B + I_C \]

Step 2: Find base current change

\[ \Delta I_B = \Delta I_E - \Delta I_C \]

\[ \Delta I_B = 4 - 3.5 = 0.5 \, \text{mA} \]

Step 3: Calculate current gain

\[ \beta = \frac{3.5}{0.5} = 7 \]

Final Answer: \( 7 \)

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