Math Problem Statement

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Solution

The document appears to be a midterm assignment for an Electronics II course at Southeast University, focusing on circuit design using operational amplifiers (op-amps). Here's a breakdown of the problems:

  1. Three-stage Amplifier Design: You need to connect an LM124 quad op-amp as a three-stage amplifier with gains of +25, -22, and -35, using a 420-kΩ feedback resistor for all stages. Then, calculate the output voltage for an input of 80 μV.

  2. Differential Amplifier Design: You're tasked with determining the output voltage of a circuit (Fig.1) and designing a Differential Amplifier to achieve the same output as Fig.1.

  3. Offset Voltage Calculation: For a given op-amp circuit (Fig. 14.27), calculate the total offset voltage when the input offset voltage VIOV_{IO} is 4.5 mV and the input offset current IIOI_{IO} is 160 nA.

  4. Conversion of Amplifier Types: You need to explain how to convert a difference amplifier into an inverting amplifier and an integrator. Additionally, sketch the output voltage of the differentiator for a given input (in Fig.3), with vo=0v_o = 0 at t=0t = 0, and show detailed calculations.


Would you like help solving one of these problems? Let me know if you'd prefer a detailed explanation or further assistance.

Related questions:

  1. How do you calculate the output voltage for a three-stage amplifier?
  2. What is the principle behind designing a differential amplifier?
  3. How does input offset voltage and current affect op-amp performance?
  4. What is the difference between inverting and non-inverting amplifier circuits?
  5. How do differentiators and integrators function in op-amp circuits?

Tip: When working with op-amp circuits, always check for the correct sign of the gain (positive or negative) to avoid incorrect phase behavior in the output.

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Math Problem Analysis

Mathematical Concepts

Electrical Engineering
Operational Amplifiers
Circuit Design
Voltage Gain
Offset Voltage
Differentiation and Integration in Circuits

Formulas

V_out = V_in * Gain
Offset Voltage = V_IO + I_IO * R
Inverting amplifier gain: -R_f / R_in
Integrator output: V_out = -1/RC ∫ V_in dt

Theorems

Ohm's Law
Superposition Theorem

Suitable Grade Level

Undergraduate Electrical Engineering