Electronic – Transistor Circuit question

kirchhoffs-lawstransistors

I'm trying to solve a transistor problem, but I'm stuck on the I2. Is I2 equal to I0 ? The question is: The transistor circuit in Fig. 3.45 has β = 80 and VBE = 0.7 Find V0 and I0 . Answers : 12V, 600 mA.

question

My equations:

For \$I_1\$,

\$-1+120 \mathrm{k} \cdot I_1 + V_{BE} = 0\$.

Therefore, \$I_1=2.5μA\$.

For \$I_3\$,

\$10\mathrm{k} \cdot I_3+20+10\mathrm{k} \cdot I_3 – 10\mathrm{k} \cdot I_2=0\$.

\$2\left(I_3\right )-I_2=-2\mathrm{mA}\$

If \$I_C=I_B \cdot \beta \$, \$I_B\$ is equal to \$I_1\$, isn't it ?

However, I get \$I_2=\$ 0.8μA

Best Answer

The answer given is clearly wrong.

20 volts across a 10K resistor will give 2 mA, so \$I_0\$ can't possibly be 600 mA.

If we omit the transistor, the two 10K resistors form a voltage divider, dividing the 20 volt supply in half, making \$V_0\$ 10 volts.

The transistor will draw some current in parallel with the lower 10K, so \$V_0\$ must be less than 10 volts.