lecture 11 electromagnetic oscillations and...
TRANSCRIPT
![Page 1: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/1.jpg)
Lecture 11 Electromagnetic Oscillations and
Alternating Current Chp. 31
• Warm-up problem
• Topics
– Transformers
– LC Circuit Qualitatively
– Electrical and Magnetic energy oscillations
– Alternating current
– Pure R and L circuits
– Series RLC circuit
– Power and Transformers
• Demos
![Page 2: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/2.jpg)
dAnBm
ˆ!=•
!"
AdB!!
!=
dAB !cos=
!
n̂
B
�
! = "d#
dt= "
d(BAcos$)
dt= "BA
dcos$
dt= BAsin$
d$
dt
= BA% sin$ but $ = %t so d$
dt= %
�
! = BA" sin"t
�
! = !msin"t
Where " is the rotational angular
frequency of the generator"= 2#f and f= 60 Hz
Axis of rotationCoil of wire
![Page 3: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/3.jpg)
![Page 4: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/4.jpg)
![Page 5: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/5.jpg)
![Page 6: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/6.jpg)
![Page 7: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/7.jpg)
![Page 8: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/8.jpg)
![Page 9: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/9.jpg)
![Page 10: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/10.jpg)
![Page 11: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/11.jpg)
![Page 12: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/12.jpg)
![Page 13: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/13.jpg)
![Page 14: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/14.jpg)
![Page 15: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/15.jpg)
![Page 16: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/16.jpg)
![Page 17: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/17.jpg)
![Page 18: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/18.jpg)
![Page 19: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/19.jpg)
Driven RLC Series Circuit
![Page 20: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/20.jpg)
![Page 21: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/21.jpg)
![Page 22: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/22.jpg)
![Page 23: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/23.jpg)
![Page 24: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/24.jpg)
![Page 25: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/25.jpg)
![Page 26: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/26.jpg)
![Page 27: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/27.jpg)
![Page 28: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/28.jpg)
1.0 uF 4.25 mH
f =1
6.28 LC=
1
6.28 4.25 !10"3H !10
"6F
f = 2445Hz
Demonstration
![Page 29: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/29.jpg)
Series LCR circuit
![Page 30: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/30.jpg)
![Page 31: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/31.jpg)
P=Irms
2R
Effective Power
Irms=I
2
rms=root-mean-square
Peak value
![Page 32: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/32.jpg)
![Page 33: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/33.jpg)
![Page 34: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/34.jpg)
![Page 35: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/35.jpg)
![Page 36: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/36.jpg)
![Page 37: Lecture 11 Electromagnetic Oscillations and …people.virginia.edu/~ral5q/classes/phys632/summer08/Lecture1-16...Lecture 11 Electromagnetic Oscillations and Alternating Current Chp](https://reader031.vdocument.in/reader031/viewer/2022030500/5aacab037f8b9a9c2e8d54a5/html5/thumbnails/37.jpg)