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Required information Consider the circuit given below. Vino R₁ R₂ m 12 m 4₁ R3 - Vout Determine the magnitude and phase of the transfer function at w = 0, 2.600 × 103 rad/s, and as w→ ∞ for the case where circuit values are R₁ = 2 kQ, R₂ = 2 kQ, R3 = 20 kQ2, L₁= 2 H, and L2 = 2 H. (Report your answer so that all angles are in the range of 0 degrees to positive 180 degrees.) The magnitude and phase of the transfer function at w = 0 rad/s is The magnitude and phase of the transfer function at w = 2.600 × 10³ rad/s is decimal places.) The magnitude and phase of the transfer function when w→∞ is 。 °. (Round the final answers to three

Required information Consider the circuit given below. Vino R₁ R₂ m 12 m 4₁ R3 - Vout Determine the magnitude and phase of the transfer function at w = 0, 2.600 × 103 rad/s, and as w→ ∞ for the case where circuit values are R₁ = 2 kQ, R₂ = 2 kQ, R3 = 20 kQ2, L₁= 2 H, and L2 = 2 H. (Report your answer so that all angles are in the range of 0 degrees to positive 180 degrees.) The magnitude and phase of the transfer function at w = 0 rad/s is The magnitude and phase of the transfer function at w = 2.600 × 10³ rad/s is decimal places.) The magnitude and phase of the transfer function when w→∞ is 。 °. (Round the final answers to three

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Educational Resource: Understanding Transfer Functions in Electrical Circuits** ### Required Information #### Circuit Diagram Explanation The circuit consists of: - Input voltage (\(V_{\text{in}}\)) - Resistors (\(R_1 = 2 \, \text{k}\Omega\), \(R_2 = 2 \, \text{k}\Omega\), \(R_3 = 20 \, \text{k}\Omega\)) - Inductors (\(L_1 = 2 \, \text{H}\), \(L_2 = 2 \, \text{H}\)) - An operational amplifier connected between resistors and inductors - Output voltage (\(V_{\text{out}}\)) ### Task **Objective:** To determine the magnitude and phase of the transfer function at specific frequencies: - \(\omega = 0\) - \(\omega = 2.600 \times 10^3 \, \text{rad/s}\) - \(\omega \to \infty\) Report all angles in the range of 0 degrees to 180 degrees. --- ### Calculations Required 1. **\(\omega = 0\) rad/s:** - **Magnitude:** \(0\) - **Phase:** \(\angle\) ____° 2. **\(\omega = 2.600 \times 10^3\) rad/s:** - **Magnitude:** ____ - **Phase:** \(\angle\) ____° - *(Round the final answers to three decimal places.)* 3. **\(\omega \to \infty\):** - **Magnitude:** \(0\) - **Phase:** \(\angle\) ____° --- This educational exercise helps deepen the understanding of analyzing circuit behavior over a range of frequencies by calculating the transfer function’s magnitude and phase.
Transcribed Image Text:**Educational Resource: Understanding Transfer Functions in Electrical Circuits** ### Required Information #### Circuit Diagram Explanation The circuit consists of: - Input voltage (\(V_{\text{in}}\)) - Resistors (\(R_1 = 2 \, \text{k}\Omega\), \(R_2 = 2 \, \text{k}\Omega\), \(R_3 = 20 \, \text{k}\Omega\)) - Inductors (\(L_1 = 2 \, \text{H}\), \(L_2 = 2 \, \text{H}\)) - An operational amplifier connected between resistors and inductors - Output voltage (\(V_{\text{out}}\)) ### Task **Objective:** To determine the magnitude and phase of the transfer function at specific frequencies: - \(\omega = 0\) - \(\omega = 2.600 \times 10^3 \, \text{rad/s}\) - \(\omega \to \infty\) Report all angles in the range of 0 degrees to 180 degrees. --- ### Calculations Required 1. **\(\omega = 0\) rad/s:** - **Magnitude:** \(0\) - **Phase:** \(\angle\) ____° 2. **\(\omega = 2.600 \times 10^3\) rad/s:** - **Magnitude:** ____ - **Phase:** \(\angle\) ____° - *(Round the final answers to three decimal places.)* 3. **\(\omega \to \infty\):** - **Magnitude:** \(0\) - **Phase:** \(\angle\) ____° --- This educational exercise helps deepen the understanding of analyzing circuit behavior over a range of frequencies by calculating the transfer function’s magnitude and phase.
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