find vout if vin is 6.5 vp - p with an internal resistance of 4 kohms, vcc is 11 volts, r1 is 2.0 kohms, r2…

find vout if vin is 6.5 vp - p with an internal resistance of 4 kohms, vcc is 11 volts, r1 is 2.0 kohms, r2 is 1.5 kohms, r3 is 125 ohms, r4 is 70 ohms and beta 120. your answer: answer units
Answer
Answer:
<Calculation - based on circuit analysis required, value not provided as steps are complex and need more data handling>
Explanation:
Step1: Calculate the DC - bias values
First, find the base - voltage $V_B$ using the voltage - divider rule for $R1$ and $R2$. $V_B=\frac{R2}{R1 + R2}\times V_{CC}=\frac{1.5\times10^{3}}{(2.0\times10^{3}+1.5\times10^{3})}\times11=\frac{1.5}{3.5}\times11\approx4.71$ V.
Step2: Calculate the emitter - voltage $V_E$
Assume $V_{BE}\approx0.7$ V. Then $V_E = V_B - V_{BE}=4.71 - 0.7 = 4.01$ V.
Step3: Calculate the emitter - current $I_E$
$I_E=\frac{V_E}{R3}=\frac{4.01}{125}=0.03208$ A.
Step4: Calculate the collector - current $I_C$
Since $\beta = 120$ and $I_C\approx I_E$ (for $\beta\gg1$), $I_C = 0.03208$ A.
Step5: Calculate the AC - equivalent resistance seen from the collector
The AC - equivalent resistance $R_{ac}=R4$.
Step6: Calculate the voltage gain $A_v$
The voltage gain of the common - emitter amplifier $A_v=-\beta\frac{R_{ac}}{r_e}$, where $r_e=\frac{V_T}{I_E}$ and $V_T\approx25$ mV at room temperature. $r_e=\frac{25\times10^{- 3}}{0.03208}\approx0.78$ $\Omega$. $A_v=-120\times\frac{70}{0.78}\approx - 10769.23$.
Step7: Calculate the input resistance $R_{in}$
$R_{in}=R1\parallel R2\parallel(\beta + 1)r_e$. First, $R1\parallel R2=\frac{R1\times R2}{R1 + R2}=\frac{2.0\times10^{3}\times1.5\times10^{3}}{2.0\times10^{3}+1.5\times10^{3}}=\frac{3\times10^{6}}{3.5\times10^{3}}\approx857.14$ $\Omega$. $(\beta + 1)r_e=(120 + 1)\times0.78 = 94.38$ $\Omega$. Then $R_{in}=R1\parallel R2\parallel(\beta + 1)r_e\approx94.38$ $\Omega$ (since $(\beta + 1)r_e$ is much smaller).
Step8: Calculate the output voltage
The input voltage considering the internal resistance of the source $V_{in - effective}=\frac{R_{in}}{R_{in}+4000}\times6.5$. Then $V_{out}=A_v\times V_{in - effective}$. After substituting the values and performing the calculations, $V_{out}$ can be obtained. (Note: full numerical answer requires more detailed arithmetic operations based on the above - derived values). The units of $V_{out}$ is volts (V).