Faraday found that there is a current in a coil of wire if and only if...

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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.

Transcript of Faraday found that there is a current in a coil of wire if and only if...

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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.

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General Physics 2 Induction 2

Electromagnetic Induction

•  If electric currents produce magnetic fields, can magnetic fields produce electric currents?

•  Yes! •  Discovered independently by

•  Joseph Henry (American) •  Michael Faraday (English)

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General Physics 2 Induction 3

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

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General Physics 2 Induction 4

Induced EMF

•  Faraday observed deflection when switched was opened and closed •  changing B field induces current

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General Physics 2 Induction 5

Induced EMF

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General Physics 2 Induction 6

Faraday’s Law of Induction

•  The induced emf depends on the •  area of loop •  how fast B field is changing •  = change in magnetic flux, ΦΒ

where

Faraday’s Law of Induction

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General Physics 2 Induction 7

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

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General Physics 2 Induction 8

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?

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General Physics 2 Induction 9

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:

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General Physics 2 Induction 10

More practice

•  What is the direction of the induced current in the circular loop due to the current in the wire?

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General Physics 2 Induction 11

Problem

•  The rectangular loop shown is pushed into the magnetic field which points inward. In what direction is the induced current?

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General Physics 2 Induction 12

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)

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Eddy Currents

General Physics 2 Induction 13

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General Physics 2 Induction 14

Eddy Currents con’t

Explanation of eddy currents: 1:21www.youtube.com/watch?v=kU6NSh7hr7Q

magnet in copper pipe www.youtube.com/watch?v=E97CYWlALEs&feature=related

spinning soda can www.youtube.com/watch?v=39r8moW_p-w

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General Physics 2 Induction 15

Electric Generators

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General Physics 2 Induction 16

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?

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General Physics 2 Induction 17

Transformers

•  ΔΒ/Δt in primary induces VS in secondary coil

•  Works for AC only •  DC voltages don’t have

changing B field

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General Physics 2 Induction 18

Transformers

•  Step-Up Transformer •  Vs > VP

•  Step-Down Transformer •  Vs < VP

•  Conservation of energy requires •  PP = Ps •  IP VP = IS VS

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General Physics 2 Induction 19

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?

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Inductor

General Physics 2 Induction 20

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General Physics 2 Induction 21

Self-Inductance

•  changing current passes through a coil •  produces changing B flux

•  which induces an emf

•  Induced emf opposes change in flux

inductance (H)

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LC Circuit

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General Physics 2 Induction 23

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?

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General Physics 2 Induction 24

More Practice Problems

•  Magnetism: Worksheets 5


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