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Rotating Generators and Faraday’s Law

Rotating Generators and Faraday’s Law. 0. For N loops of wire. Alternating Current. AC Generator and a Resistor. AC Power. ?. Root Mean Square (rms) . Inductive Circuits. Inductive Reactance. Capacitive Circuits. Capacitive Reactance. Voltage transformers. Current in transformers.

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Rotating Generators and Faraday’s Law

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  1. Rotating Generators and Faraday’s Law 0 For N loops of wire

  2. Alternating Current

  3. AC Generator and a Resistor

  4. AC Power ?

  5. Root Mean Square (rms)

  6. Inductive Circuits Inductive Reactance

  7. Capacitive Circuits Capacitive Reactance

  8. Voltage transformers

  9. Current in transformers Actually currents are 180 degrees out of phase

  10. Example: transformers What is Vs ?

  11. LC Circuits Solution: Kirchhoff Loop Equation:

  12. Energy in an LC circuit

  13. Active Figure 32.17 (SLIDESHOW MODE ONLY)

  14. LRC Circuits Kirchhoff Loop Equation: Solution:

  15. Damped RLC Circuit • The maximum value of Q decreases after each oscillation • R < RC • This is analogous to the amplitude of a damped spring-mass system

  16. Active Figure 32.21 (SLIDESHOW MODE ONLY)

  17. LRC Circuits • Underdamped • Critically Damped • Overdamped

  18. Driven RLC Circuit

  19. Phasor Diagrams

  20. Resonance Power: Power Factor What is Power factor at Resonance?

  21. More Resonance

  22. 41. An emf of 96.0 mV is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of 1.20 A/s. What is the mutual inductance of the two coils? 49. A fixed inductance L = 1.05 μH is used in series with a variable capacitor in the tuning section of a radiotelephone on a ship. What capacitance tunes the circuit to the signal from a transmitter broadcasting at 6.30 MHz? 55. Consider an LC circuit in which L = 500 mH and C = 0.100 μF. (a) What is the resonance frequency ω0? (b) If a resistance of 1.00 kΩ is introduced into this circuit, what is the frequency of the (damped) oscillations? (c) What is the percent difference between the two frequencies?

  23. LC Demo R = 10 W C = 2.5 mF L = 850 mH • Calculate period • What if we change • C = 10 mF • Underdamped? • How can we change damping?

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