First slide

Transistors

Question

Find the output voltage in the given transistor circuit. $(β = 100)$

Moderate

A

10 mV
B

0.1 V
C

1 V
D

10 V

Solution

$V o l t a g e G a i n : A_{V} = \frac{V_{o}}{V_{i}} = \frac{I_{o}}{I_{i}} \frac{R_{o}}{R_{i n}} = \frac{I_{C}}{I_{B}} \frac{R_{o}}{R_{i n}} = β \frac{R_{o}}{R_{i n}}$
$\Rightarrow V_{o} = V_{i} \times β \frac{R_{o}}{R_{i n}} = 10^{- 3} \times 100 \times \frac{10000}{1000} = 1 V$

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