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

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Presentation on theme: "Rotating Generators and Faraday’s Law 0 For N loops of wire."— Presentation transcript:

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 V s ?

11 LC Circuits Kirchhoff Loop Equation: Solution:

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 < R C 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

23 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 ω 0 ? (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?

24 LC Demo R = 10 W C = 2.5 m F L = 850 mH 1.Calculate period 2.What if we change C = 10 m F 3.Underdamped? 4.How can we change damping?


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