![Page 1: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/1.jpg)
Reading Quiz
1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called?
A.Induced currentsB.Displacement currentsC.Faraday’s currentsD.Eddy currentsE.This topic is not covered in Chapter 34.
2. Electromagnetic induction was discovered by
A. Faraday.B. Henry.C.Maxwell.D.Both Faraday and Henry.E. All three.
![Page 2: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/2.jpg)
3. The direction that an induced current flows in a circuit is given by
A. Faraday’s law.B. Lenz’s law.C.Henry’s law.D.Hertz’s law.E. Maxwell’s law.
Reading Quiz
![Page 3: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/3.jpg)
Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called?
A. Induced currentsB. Displacement currentsC. Faraday’s currentsD. Eddy currentsE. This topic is not covered in Chapter 34.
![Page 4: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/4.jpg)
Electromagnetic induction was discovered by
A. Faraday.B. Henry.C. Maxwell.D. Both Faraday and Henry.E. All three.
![Page 5: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/5.jpg)
The direction that an induced current flows in a circuit is given by
A. Faraday’s law.B. Lenz’s law.C. Henry’s law.D. Hertz’s law.E. Maxwell’s law.
![Page 6: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/6.jpg)
Tactics: Evaluating line integrals
![Page 7: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/7.jpg)
Ampère’s law
Whenever total current Ithrough passes through an area bounded by a closed curve, the line integral of the magnetic field around the curve is given by Ampère’s law:
![Page 8: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/8.jpg)
The strength of the uniform magnetic field inside a solenoid is
where n = N/l is the number of turns per unit length.
![Page 9: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/9.jpg)
![Page 10: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/10.jpg)
General Principles
![Page 11: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/11.jpg)
General Principles
![Page 12: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/12.jpg)
Applications
![Page 13: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/13.jpg)
Applications
![Page 14: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/14.jpg)
Applications
![Page 15: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/15.jpg)
Faraday’s Discovery
Faraday found that there is a current in a coil
of wire if and only if the magnetic field passing through the coil is changing. This is an informal statement of Faraday’s law.
![Page 16: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/16.jpg)
General Physics 2 Induction 16
Electromagnetic Induction
• If electric currents produce magnetic fields, can magnetic fields produce electric currents?
• Yes!• Discovered independently by
• Joseph Henry (American)• Michael Faraday (English)
![Page 17: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/17.jpg)
General Physics 2 Induction 17
Joseph Henry
• Lived from 1797 to 1878• Premier American scientist after Ben Franklin• Albany native• Attended & then taught at Albany Academy
• conducted experiments in his spare time!
• Invited to Princeton and stayed there• now endowed chair of physics department• Joseph Henry Laboratories
• First Secretary of the Smithsonian Institute• One of first members of National Academy of
Science
![Page 18: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/18.jpg)
General Physics 2 Induction 18
Induced EMF
• Faraday observed deflection when switched was opened and closed• changing B field induces current
![Page 19: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/19.jpg)
General Physics 2 Induction 19
Induced EMF
![Page 20: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/20.jpg)
General Physics 2 Induction 20
Faraday’s Law of Induction
• The induced emf depends on the • area of loop• how fast B field is changing• = change in magnetic flux,
where
Faraday’s Lawof Induction
![Page 21: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/21.jpg)
General Physics 2 Induction 21
Faraday’s Law of Induction• If circuit contains N closely wrapped loops:
• Can induce emf by changing• B field• area of loop• loop’s orientation with respect to B field
![Page 22: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/22.jpg)
General Physics 2 Induction 22
Plug & Chug
• A 12.0-cm-diameter loop of wire is initially oriented perpendicular to a 1.5-T magnetic field. The loop is rotated so that its plane is parallel to the field direction is 0.20 s. What is the average induced emf in the loop?
![Page 23: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/23.jpg)
General Physics 2 Induction 23
Lenz’s Law
• A current produced by an induced emf moves in a direction so that its magnetic field opposes the original direction of change
• Test yourself:
![Page 24: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/24.jpg)
General Physics 2 Induction 24
More practice
• What is the direction of the induced current in the circular loop due to the current in the wire?
![Page 25: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/25.jpg)
General Physics 2 Induction 25
Problem
• The rectangular loop shown is pushed into the magnetic field which points inward. In what direction is the induced current?
![Page 26: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/26.jpg)
General Physics 2 Induction 26
EMF Induced in a Moving Conductor
• Area inside loop is increasing as rod moves to right
• A changing B field induces an electric field (E = F/q)
![Page 27: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/27.jpg)
General Physics 2 Induction 27
Electric Generators
![Page 28: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/28.jpg)
General Physics 2 Induction 28
Plug & Chug
• A simple generator is used to generate a peak output voltage of 24.0 V. The square armature consists of windings that are 6.0 cm on a side and rotates in a field of 0.420 T at a rates of 60.0 rev/s. How many loops of wire should be wound on the square armature?
![Page 29: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/29.jpg)
General Physics 2 Induction 29
Transformers
• t in primary induces VS in secondary coil
• Works for AC only• DC voltages don’t have
changing B field
![Page 30: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/30.jpg)
General Physics 2 Induction 30
Transformers
• Step-Up Transformer• Vs VP
• Step-Down Transformer• Vs VP
• Conservation of energy requires• PP = Ps
• IP VP = IS VS
![Page 31: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/31.jpg)
General Physics 2 Induction 31
Plug & Chug
• A transformer has 320 turns in the primary coil and 120 in the secondary coil. What kind of transformer is this, and by what factor does it change the voltage? By what factor does it change the current?
![Page 32: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/32.jpg)
General Physics 2 Induction 32
Self-Inductance
• changing current passes through a coil• produces changing B flux
• which induces an emf
• Induced emf opposes change in flux
inductance (H)
![Page 33: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/33.jpg)
General Physics 2 Induction 33
Think-Pair-Share
• If the current in a 180-mH coil changes steadily from 25.0 A to 10.0 A in 350 ms, what is the magnitude of the induced emf?
![Page 34: Reading Quiz 1. Currents circulate in a piece of metal that is pulled through a magnetic field. What are these currents called? A.Induced currents B.Displacement](https://reader033.vdocument.in/reader033/viewer/2022061510/56649ea85503460f94bab4ab/html5/thumbnails/34.jpg)
General Physics 2 Induction 34
More Practice Problems
• Magnetism: Worksheets 4 & 5