The current gain of a common emitter amplifier is $69$ . If the emitter current is $7.0 m A$ , collector current is

69 m A

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6.9 m A

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0.69 m A

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9.6 m A

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Solution

The correct option is B $6.9 m A$
Given,
$β = 69$
$I_{E} = 7.0 m A$
Current gain, $β = \frac{I_{C}}{I_{B}}$
$I_{C} = β I_{B}$ . . . . . . . . . . . (1)
$I_{E} = I_{B} + I_{C} = I_{B} (1 + β)$
$I_{B} = \frac{I_{E}}{1 + β}$
$I_{B} = \frac{7 m A}{1 + 69} = 0.1 m A$
From equation (1),
$I_{C} = β I_{B}$
$I_{C} = 69 \times 0.1$
$I_{C} = 6.9 m A$
The correct option is B.

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