physics 122 unit 1 review electrostaticsscience.sbcc.edu/~physics/ion/phys 122 exam 1 review.pdf ·...
TRANSCRIPT
![Page 1: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/1.jpg)
Physics 122 Unit 1 Review
Electrostatics
![Page 2: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/2.jpg)
Coulomb's Law
![Page 3: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/3.jpg)
q1
q2 q
3
Q
From Coulomb's Law to the Electric Field
and
![Page 4: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/4.jpg)
q1
q2 q
3
Q
From Coulomb's Law to the Electric Field
and
![Page 5: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/5.jpg)
The Electric Field from Point Charges
![Page 6: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/6.jpg)
![Page 7: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/7.jpg)
![Page 8: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/8.jpg)
The Electric Field from an Integral
![Page 9: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/9.jpg)
The Electric Field from an Integral
![Page 10: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/10.jpg)
![Page 11: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/11.jpg)
The Electric Field from an Integral
![Page 12: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/12.jpg)
Problem 23-28
![Page 13: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/13.jpg)
The Electric Field from an Integral
Problem 23-29
![Page 14: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/14.jpg)
![Page 15: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/15.jpg)
Gauss's Law
![Page 16: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/16.jpg)
Faraday's Lines of Force
![Page 17: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/17.jpg)
The Inverse Square Law
![Page 18: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/18.jpg)
![Page 19: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/19.jpg)
![Page 20: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/20.jpg)
Flux“The NUMBER of Electric Field Lines”
Electric Field“The DENSITY of Electric Field Lines”
Area
![Page 21: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/21.jpg)
![Page 22: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/22.jpg)
![Page 23: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/23.jpg)
![Page 24: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/24.jpg)
Flux through a Sphere
![Page 25: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/25.jpg)
It's the same Flux through ANY surface that encloses the charge!
![Page 26: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/26.jpg)
The Net Flux is Zero for any closed surface for charges outside the surface
![Page 27: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/27.jpg)
Gauss's Law
Net Flux
And also,,,
![Page 28: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/28.jpg)
![Page 29: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/29.jpg)
![Page 30: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/30.jpg)
![Page 31: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/31.jpg)
![Page 32: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/32.jpg)
![Page 33: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/33.jpg)
Electric Fields and Metals
E=0 Inside!
E is perpendicular to the metal surface
![Page 34: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/34.jpg)
Problem 24-47
![Page 35: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/35.jpg)
Energy Principles
Electric Potential - Voltage
![Page 36: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/36.jpg)
Energy Methods
![Page 37: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/37.jpg)
Energy Methods
![Page 38: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/38.jpg)
Energy Methods
The Electric Potential
The Electric Potential Energy
![Page 39: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/39.jpg)
Where
Change in Electric PotentialChange in
Electric Potential Energy
Energy Methods
![Page 40: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/40.jpg)
Electric Potential of a Point Charge
We define the Electric Potential to be zero at
The Electric Potential of a Point Charge
Electric PotentialElectric PotentialEnergy
![Page 41: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/41.jpg)
![Page 42: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/42.jpg)
![Page 43: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/43.jpg)
![Page 44: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/44.jpg)
![Page 45: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/45.jpg)
From Problem 3:
Inside: Outside:
![Page 46: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/46.jpg)
Metals form Equipotential SurfacesAll points on a connected metal surface have the same V!
![Page 47: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/47.jpg)
Finding E from V
x
y
![Page 48: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/48.jpg)
Capacitors
![Page 49: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/49.jpg)
The Parallel Plate Capacitor
![Page 50: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/50.jpg)
![Page 51: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/51.jpg)
![Page 52: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/52.jpg)
![Page 53: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/53.jpg)
![Page 54: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/54.jpg)
![Page 55: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/55.jpg)
Energy Stored in a Charged Capacitor
Energy Density
![Page 56: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/56.jpg)
![Page 57: Physics 122 Unit 1 Review Electrostaticsscience.sbcc.edu/~physics/ion/Phys 122 Exam 1 Review.pdf · Problem 23-29. Gauss's Law. Faraday's Lines of Force. The Inverse Square Law. Flux](https://reader031.vdocuments.us/reader031/viewer/2022022015/5b4e48007f8b9a28068b53c1/html5/thumbnails/57.jpg)