1. For the OPAMP circuit below, assume the OPAMP has an AoL=50, Rout=50, Rin=1000, VCC=8V, VEE=-8V, SR=20v/us. R1=500, R2=5000, R3=1K, R4=1K, R5=100 Zin1 R1 R2 V1 Vn Zout Vo OUT Zin2 Vp to R3 R4 R5 V2 Find the following: a. Find an expression for the output voltage Vo in terms of V1 and V2, compute the output voltage for V1=0.5V and V2=1V b. Find Vn and Vp c. Find the input impedance Zin1 d. Find the input impedance Zin2 e. Find the output impedance Zout f. If the OPAMP has an input current of 100UA, find the output offset voltage, assume that AOL=infinity for this calculation and set V1=V2=0V g. If V1=5*sin(wt) and V2=2*sin(wt), Draw the input and output waveforms h. If V2=0V and V1 is a pulse that drops from 0V to -0.5V, what is the shortest pulse that can be used while ensuring full amplitude output? Draw the input and output waveforms.

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Op,amp specifications, not ideal

### Educational Content on Operational Amplifier (Op-Amp) Circuit Analysis

#### Circuit Description:

The circuit diagram provided illustrates an operational amplifier (Op-Amp) setup with the following parameters:

- Open-loop gain, \( A_{OL} = 50 \)
- Output resistance, \( R_{out} = 50 \)
- Input resistance, \( R_{in} = 1000 \)
- Positive supply voltage, \( V_{CC} = 8V \)
- Negative supply voltage, \( V_{EE} = -8V \)
- Slew rate, \( SR = 20V/\mu s \)

The resistor values are:

- \( R_1 = 500 \, \Omega \)
- \( R_2 = 5000 \, \Omega \)
- \( R_3 = 1000 \, \Omega \)
- \( R_4 = 1000 \, \Omega \)
- \( R_5 = 100 \, \Omega \)

#### Circuit Analysis Tasks:

**Find the following:**

a. **Output Voltage Expression:**
   - Derive an expression for the output voltage \( V_o \) in terms of \( V_1 \) and \( V_2 \). Compute \( V_o \) for \( V_1 = 0.5V \) and \( V_2 = 1V \).

b. **Node Voltages:**
   - Determine the voltages at nodes \( V_n \) and \( V_p \).

c. **Input Impedance \( Z_{in1} \):**
   - Calculate the input impedance at \( Zin1 \).

d. **Input Impedance \( Z_{in2} \):**
   - Calculate the input impedance at \( Zin2 \).

e. **Output Impedance \( Z_{out} \):**
   - Determine the output impedance \( Zout \).

f. **Output Offset Voltage:**
   - With an input current of \( 100 \mu A \), find the output offset voltage. Assume that \( A_{OL} \) is infinite for this calculation and set \( V_1 = V_2 = 0V \).

g. **Waveforms for Sinusoidal Input:**
   - For \( V_1 = 5 \cdot \sin(\omega t) \) and \( V_2 = 2 \cdot \sin(\
Transcribed Image Text:### Educational Content on Operational Amplifier (Op-Amp) Circuit Analysis #### Circuit Description: The circuit diagram provided illustrates an operational amplifier (Op-Amp) setup with the following parameters: - Open-loop gain, \( A_{OL} = 50 \) - Output resistance, \( R_{out} = 50 \) - Input resistance, \( R_{in} = 1000 \) - Positive supply voltage, \( V_{CC} = 8V \) - Negative supply voltage, \( V_{EE} = -8V \) - Slew rate, \( SR = 20V/\mu s \) The resistor values are: - \( R_1 = 500 \, \Omega \) - \( R_2 = 5000 \, \Omega \) - \( R_3 = 1000 \, \Omega \) - \( R_4 = 1000 \, \Omega \) - \( R_5 = 100 \, \Omega \) #### Circuit Analysis Tasks: **Find the following:** a. **Output Voltage Expression:** - Derive an expression for the output voltage \( V_o \) in terms of \( V_1 \) and \( V_2 \). Compute \( V_o \) for \( V_1 = 0.5V \) and \( V_2 = 1V \). b. **Node Voltages:** - Determine the voltages at nodes \( V_n \) and \( V_p \). c. **Input Impedance \( Z_{in1} \):** - Calculate the input impedance at \( Zin1 \). d. **Input Impedance \( Z_{in2} \):** - Calculate the input impedance at \( Zin2 \). e. **Output Impedance \( Z_{out} \):** - Determine the output impedance \( Zout \). f. **Output Offset Voltage:** - With an input current of \( 100 \mu A \), find the output offset voltage. Assume that \( A_{OL} \) is infinite for this calculation and set \( V_1 = V_2 = 0V \). g. **Waveforms for Sinusoidal Input:** - For \( V_1 = 5 \cdot \sin(\omega t) \) and \( V_2 = 2 \cdot \sin(\
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