1. Board Work 1.If the magnetic field B intensifies, in what direction will a current be induced around the loop? B Which direction is the flux change? What current would oppose it?

2. AC Transformers Source: OSHA

3. Objective Relate input and output power, voltage, current, and number of windings in an AC transformer.

4. Flux Change Creates Potential Rapidly changing field high induced potential unchanging field zero induced potential

5. How a Transformer Works Alternating current in the primary coil creates a changing magnetic field. The changing field induces an electric potential in the secondary coil.

6. Potential Proportional to Loops Same flux  and area A through both sets of windings Each loop adds potential Potentials V are proportional to the number of loops N V1V1 N1N1 V2V2 N2N2 =

7. Energy is Conserved Ideally: power in = power out V 1 I 1 = V 2 I 2 Realistic: power in > power out Efficiencies usually around 95%

8. Transformer Summary Power in  power out  loops  higher V, lower I  loops  lower V, higher I

9. Poll Question A “step-down” transformer converts input at 120 V to output at 20 V. If the input circuit has 1100 W, how much power is available at the output? A.200 W. B.660 W. C.1100 W. D.2400 W.

10. Board Work 2.A transformer with 1000 primary windings converts AC at 110 V (primary) to 220 V (secondary). a.Which is greater: the potential in the primary circuit or the potential in the secondary circuit? b.Where will the number of loops be greater: in the primary or in the secondary?

11. Board Work 2.A transformer with 1000 primary windings converts AC at 110 V (primary) to 220 V (secondary). c.What is the voltage ratio V 2 /V 1 ? d.What is the loops ratio N 2 /N 1 ? e.How many loops are in the secondary circuit (N 2 )?

12. Board Work 2.A transformer with 1000 primary windings converts AC at 110 V (primary) to 220 V (secondary). f.What is the current ratio I 2 / I 1 ?

13. Formulas for Transformers Power: V 1 I 1 = V 2 I 2 Current: I 2 = I 1 V1V1 V2V2 = I1= I1 N1N1 N2N2 Potential: V 2 = V 1 I1I1 I2I2 = V1= V1 N2N2 N1N1 Loops: V1V1 V2V2 N1N1 N2N2 =

14. Example A transformer with 5000 primary coils and 100 secondary coils has an input voltage of 50 kV. What is the output voltage? V out = V in N out /N in = (50 kV)(100/5000) = (50 kV)/50 = 1 kv = 1,000 V

15. Light Chapter 26

16. Objectives Describe the transverse “medium” of electromagnetic waves.

17. Thought experiment: charging parallel plates Last Piece of EM Theory A changing electric field acts as a current Charges accumulate on the plates A changing E field creates a B field! Maxwell’s pivotal insight I I +– E B The E field between the plates increases The changing E field is sort of a virtual current

18. Electromagnetic Fields Faraday’s law: a changing magnetic field creates an electric field BB EE Virtual Current: a changing electric field creates a magnetic field

19. What They Mean Faraday’s Law = Lorentz Force –A transversely-moving B field makes an E field –The electric field is proportional to the magnetic field strength BB

20. What They Mean Virtual current works the same way –A transversely-moving E field makes a B field –The magnetic field is proportional to the electric field strength (note the directions)

21. Electromagnetic Field Interplay A moving B field creates an E field –E direction = B  v direction B v E B v E v B E The fields are self-propagating –v direction = E  B direction A moving E field creates a B field –B direction = v  E direction

22. AC Creates Oscillating B Field Observe here

23. The End Result Electric and magnetic fields are perpendicular: to each other, and to the direction of propagation.

24. Poll Question Are electromagnetic waves transverse, longitudinal, or a combination of both? A.Transverse. B.Longitudinal. C.A combination of transverse and longitudinal.

25. Speed of Light c = 2.9979  10 8 m/s (in vacuum)

26. Electromagnetic Wave Energy Non-classical result: E = hf E = energy f = frequency h = Planck constant = 6.621  10 -34 J s

27. Electromagnetic Spectrum

29. Temp Influences Spectrum Higher T  greater power – P/A =  T 4 –  = 5.67  10 –8 W m –2 K –4 Higher T  higher peak frequency – max = b/T – b = 2.898  10 6 nm K Source: M. A. Seeds, Exploring the Universe

30. Poll Question How do “warm” colors (red, orange, yellow) and “cool” colors (green, blue) relate to temperature? A.At higher temperatures, more of the light emitted is “warm”-colored. B.At higher temperatures, more of the light emitted is “cool”-colored.

31. Something to Ponder Why do hotter objects emit a greater fraction of their energy at short wavelengths (high frequencies)?

32. Reading for Next Time Color –How we see color –Why things are colored