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EMF

Consider the ...

Question

Consider the circuit shown in the figure below.

If the value of emiitter voltage $V_{E}$ is equal to $4 V$ , then the value of current gain $β$ is $(Assume | \begin{matrix} V_{B E} \end{matrix} | = 0.7 V)$ .

18

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21

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Solution

The correct option is D $21$

$I_{E} = \frac{10 - V_{E}}{4 k Ω} = \frac{10 - 4}{4 k Ω} = 1.5 m A$
$V_{C} = - 5 + 1.5 = - 3.5 V$
$V_{E B} = V_{E} - V_{B} = 0.7 V$
$V_{B} = 4 - 0.7 = 3.3 V$
$V_{B C} = V_{B} - V_{C} = 3.3 - (- 3.5) = 6.8 V$
$I_{B} = \frac{V_{B C}}{100 k Ω} = 0.068 m A$
$\frac{I_{E}}{I_{B}} = β + 1$
$\frac{1.5}{0.068} = β + 1$
$β = 21$

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