Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral...

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General Physics 2 Magnetism 1 Field Around Magnet Use a compass to map the direction of the magnetic field surrounding a magnet. White board your results. In particular: – how does the strength of the field vary with distance from the wire? – how does the field direction relate to the poles of the magnet?

Transcript of Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral...

Page 1: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 1

Field Around Magnet •  Use a compass to map the direction of the

magnetic field surrounding a magnet. •  White board your results. In particular:

– how does the strength of the field vary with distance from the wire?

– how does the field direction relate to the poles of the magnet?

Page 2: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 2

Activity: Map Field of Magnets

•  Use iron filings to map the field of a – bar magnet – horseshoe magnet

•  White board results – draw field lines. – how might magnets generate magnetic fields?

Page 3: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 3

Magnetic Field Lines

•  direction of magnetic field, B, is parallel to field line

•  number of lines per area is proportional to strength of field

• field lines point from N to S • field lines form closed loops

Page 4: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 4

Magnetism

No magnetic monopoles!

Page 5: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 5

Magnets are similar to Electric Dipoles

Page 6: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 6

Ferromagnetism

•  Ferromagnetic material –  iron or other materials that can be

made into magnets

•  You can make a magnet from iron by placing it in a strong B field –  individual domains become

aligned with external B field

•  Loss of magnetism from: –  dropping –  heating

•  Curie temperature –  1043 K for iron

Random Preferentially downwards

Page 7: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 7

Cross Product – Right Hand Rule

Page 8: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 8

Specifying 3 Dimensions

•  out of page •  tip of arrow

•  into page •  tail of arrow

Page 9: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 9

Force on a moving charge •  Right Hand Rule (#2)

–  qv = fingers –  B = bend fingers –  F = thumb

•  Find the direction of the force on a negative charge for each diagram shown.

Page 10: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 10

Page 11: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 11

Think-Pair-Share

•  Derive an expression for the radius of an e-’s orbit in a uniform B field. Express your answer in terms of me, v, qe, and B. Turn in your solution!

Page 12: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 12

Earth’s Magnetic Field

•  magnetic declination – angular difference

between geographic north and magnetic north

– varies with latitude

Page 13: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field
Page 14: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field
Page 15: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Tactics: Right-hand rule for fields

Page 16: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

The Source of the Magnetic Field: Moving Charges

The magnetic field of a charged particle q moving with velocity v is given by the Biot-Savart law:

where r is the distance from the charge and θ is the angle between v and r. The Biot-Savart law can be written in terms of the cross product as

Page 17: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.1 The magnetic field of a proton

QUESTION:

Page 18: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.1 The magnetic field of a proton

Page 19: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.1 The magnetic field of a proton

Page 20: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.1 The magnetic field of a proton

Page 21: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

The Magnetic Field of a Current

The magnetic field of a long, straight wire carrying current I, at a distance d from the wire is

The magnetic field at the center of a coil of N turns and radius R, carrying a current I is

Page 22: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.4 The magnetic field strength near a heater wire

QUESTION:

Page 23: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.4 The magnetic field strength near a heater wire

Page 24: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Physics 2 Magnetism 24

Practice Problems

•  Magnetism: Worksheets 1 and 2

•  Finish before next class

Page 25: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field
Page 26: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Tactics: Finding the magnetic field direction of a current loop

Page 27: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Magnetic Dipoles The magnetic dipole moment of a current loop enclosing an area A is defined as

The SI units of the magnetic dipole moment are A m2. The on-axis field of a magnetic dipole is

Page 28: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.7 The field of a magnetic dipole

QUESTIONS:

Page 29: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.7 The field of a magnetic dipole

Page 30: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Tactics: Evaluating line integrals

Page 31: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

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 32: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

The strength of the uniform magnetic field inside a solenoid is

where n = N/l is the number of turns per unit length.

Page 33: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

The Magnetic Force on a Moving Charge

The magnetic force on a charge q as it moves through a magnetic field B with velocity v is

where α is the angle between v and B.

Page 34: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field
Page 35: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Magnetic Forces on Current-Carrying Wires

Consider a segment of wire of length l carrying current I in the direction of the vector l. The wire exists in a constant magnetic field B. The magnetic force on the wire is

where α is the angle between the direction of the current and the magnetic field.

Page 36: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.13 Magnetic Levitation

QUESTION:

Page 37: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

EXAMPLE 33.13 Magnetic Levitation

Page 38: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field
Page 39: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Principles

Page 40: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Principles

Page 41: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

General Principles

Page 42: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Applications

Page 43: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Applications

Page 44: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Applications

Page 45: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Does the compass needle rotate clockwise (cw), counterclockwise (ccw) or not at all?

A. Clockwise B. Counterclockwise C. Not at all

Page 46: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

A. Clockwise B. Counterclockwise C. Not at all

Does the compass needle rotate clockwise (cw), counterclockwise (ccw) or not at all?

Page 47: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

The magnetic field at the position P points

A. Into the page. B. Up. C. Down. D. Out of the page.

Page 48: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

A. Into the page. B. Up. C. Down. D. Out of the page.

The magnetic field at the position P points

Page 49: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

The positive charge is moving straight out of the page. What is the direction of the magnetic field at the position of the dot?

A. Left B. Right C. Down D. Up

Page 50: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

A. Left B. Right C. Down D. Up

The positive charge is moving straight out of the page. What is the direction of the magnetic field at the position of the dot?

Page 51: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

What is the current direction in this loop? And which side of the loop is the north pole?

A. Current counterclockwise, north pole on bottom B. Current clockwise; north pole on bottom C. Current counterclockwise, north pole on top D. Current clockwise; north pole on top

Page 52: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

A. Current counterclockwise, north pole on bottom B. Current clockwise; north pole on bottom C. Current counterclockwise, north pole on top D. Current clockwise; north pole on top

What is the current direction in this loop? And which side of the loop is the north pole?

Page 53: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

A. Left B. Into the page C. Out of the page D. Up E. Down

An electron moves perpendicular to a magnetic field. What is the direction of ?

Page 54: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

A. Left B. Into the page C. Out of the page D. Up E. Down

An electron moves perpendicular to a magnetic field. What is the direction of ?

Page 55: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

What is the current direction in the loop?

A. Out of the page at the top of the loop, into the page at the bottom.

B. Out of the page at the bottom of the loop, into the page at the top.

Page 56: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

A. Out of the page at the top of the loop, into the page at the bottom.

B. Out of the page at the bottom of the loop, into the page at the top.

What is the current direction in the loop?

Page 57: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

Which magnet or magnets produced this induced magnetic dipole?

A.  a or d B.  a or c C.  b or d D.  b or c E.  any of a, b, c or d

Page 58: Field Around Magnet Use a compass to map the …mmccolgan/GP140S11/Phys140_Ch33_D1.pdfGeneral Physics 2 Magnetism 2 Activity: Map Field of Magnets • Use iron filings to map the field

A.  a or d B.  a or c C.  b or d D.  b or c E.  any of a, b, c or d

Which magnet or magnets produced this induced magnetic dipole?