Classical Mechanics and Electromagnetism: Transmission Lines & Resonators

In this June 2018 USPAS session at MSU, delve into concepts like lumped circuit models, characteristic impedance, phase velocity, voltage reflection coefficients, standing wave ratios, and more related to transmission lines and resonators. Explore the frequency dependence, power transmission, and reflection coefficients in detail.

• Electromagnetism
• Transmission Lines
• Resonators
• Classical Mechanics
• MSU

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Uploaded on Mar 13, 2025 | 0 Views

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1. 1 1 Transmission Lines & Resonators Jeffrey Eldred Classical Mechanics and Electromagnetism June 2018 USPAS at MSU

2. 2 2 Lumped Circuit Model 2 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

3. Lumped Circuit Transmission Line We can investigate the frequency dependence with 3 3 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

4. Lumped Circuit Transmission Line The solutions then become: Characteristic Impedance Z0 4 4 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

5. Transmission Line Without losses: Phase velocity: 5 5 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

6. Load on Transmission Line The load impedance relates V and I at the z=0: Solve for V0-/ V0+ : Voltage reflection coefficient 6 6 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

7. Load on Transmission Line Voltage reflection coefficient Standing Wave Ratio Input Impedance 7 7 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

8. Power Transmitted on Load The reflected power takes away from the incident power. 8 8 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

9. Load on Transmission Line Voltage reflection coefficient Transmission Coefficient 9 9 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

10. 10 10 Resonators 10 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

11. Parallel RLC Circuit Model 11 11 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

12. Parallel RLC Circuit Model 12 12 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

13. Parallel RLC Circuit Model Resonance occurs when Wm = We, Zin = R: Quality factor Quality factor Q is the ratio of power stored to power lost. 13 13 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

14. Quarter-Wave Resonator Attenuation parameter small, kl close to resonance: 14 14 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU

15. Comparison to parallel circuit model 15 15 3/13/2025 Classical Mechanics and Electromagnetism | June 2018 USPAS at MSU