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Physics 122 Unit 1 Review Electrostatics

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

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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

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

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

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

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

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
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
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

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

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
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

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

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

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
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

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

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

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
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
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

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
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
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
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

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

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

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

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
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
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
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
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
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

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

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

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

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

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

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

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

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
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
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
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
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

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

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

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

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

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
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
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
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
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
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

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
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