transistor

[logistic_guy]

For the simplified transistor circuit in the figure, calculate the voltage \(\displaystyle v_o\).

 

[khansaheb]

For the simplified transistor circuit in the figure, calculate the voltage \(\displaystyle v_o\).
View attachment 39727

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[logistic_guy]

Let us try \(\displaystyle \text{KVL}\).

First loop.

\(\displaystyle 0.047 - I_1(1000) - (I_1 - I_2)2000 = 0\)

 

[logistic_guy]

From the second loop, we get:

\(\displaystyle I_2 = -400I\)

We also know that:

\(\displaystyle I_1 = I\)

Then,

\(\displaystyle 0.047 - I(1000) - (I + 400I)2000 = 0\)

\(\displaystyle 0.047 - I(1000) - (401I)2000 = 0\)

\(\displaystyle 0.047 - 1000I - 802000I = 0\)

\(\displaystyle 0.047 - 803000I = 0\)

Then,

\(\displaystyle I = 5.85305 \times 10^{-8} \ \text{A}\)

 

[logistic_guy]

calculate the voltage \(\displaystyle v_o\).

\(\displaystyle v_o = I_2R_5 = (-400I)(5000) = (-400 \times 5.85305 \times 10^{-8})(5000) = -0.117061 \ \text{V} = \textcolor{blue}{-117.061 \ \text{mV}}\)