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Chapter 21

Magnetism

Book Version 3
By Boundless
Boundless Physics
Physics
by Boundless
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Section 1
Magnetism and Magnetic Fields
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Electric Currents and Magnetic Fields

An electric current will produce a magnetic field, which can be visualized as a series of circular field lines around a wire segment.

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Permanent Magnets

Permanent magnets are objects made from ferromagnetic material that produce a persistent magnetic field.

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Magnetic Field Lines

Magnetic field lines are useful for visually representing the strength and direction of the magnetic field.

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Geomagnetism

Earth's magnetic field is caused by electric currents in the molten outer core and varies with time.

Section 2
Magnets
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Ferromagnets and Electromagnets

There are two type of magnets—ferromagnets that can sustain a permanent magnetic field, and electromagnets produced by the flow of current.

Section 3
Magnetic Force on a Moving Electric Charge
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Magnitude of the Magnetic Force

The magnetic force on a charged particle q moving in a magnetic field B with a velocity v (at angle θ to B) is $F=qvBsin(\theta )$.

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Direction of the Magnetic Force: The Right Hand Rule

The right hand rule is used to determine the direction of the magnetic force on a positive charge.

Section 4
Motion of a Charged Particle in a Magnetic Field
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Electric vs. Magnetic Forces

Electric and magnetic forces both affect the trajectory of charged particles, but in qualitatively different ways.

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Constant Velocity Produces a Straight-Line

If a charged particle's velocity is parallel to the magnetic field, there is no net force and the particle moves in a straight line.

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Circular Motion

Since the magnetic force is always perpendicular to the velocity of a charged particle, the particle will undergo circular motion.

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Helical Motion

Helical motion results when the velocity vector is not perpendicular to the magnetic field vector.

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Examples and Applications

Cyclotrons, magnetrons, and mass spectrometers represent practical technological applications of electromagnetic fields.

Section 5
Magnetic Fields, Magnetic Forces, and Conductors
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The Hall Effect

When current runs through a wire exposed to a magnetic field a potential is produced across the conductor that is transverse to the current.

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Magnetic Force on a Current-Carrying Conductor

When an electrical wire is exposed to a magnet, the current in that wire will experience a force—the result of a magnet field.

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Torque on a Current Loop: Rectangular and General

A current-carrying loop exposed to a magnetic field experiences a torque, which can be used to power a motor.

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Ampere's Law: Magnetic Field Due to a Long Straight Wire

Current running through a wire will produce a magnetic field that can be calculated using the Biot-Savart Law.

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Magnetic Force Between Two Parallel Conductors

Parallel wires carrying current produce significant magnetic fields, which in turn produce significant forces on currents.

Section 6
Applications of Magnetism
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Mass Spectrometer

Mass spectrometers use electric or magnetic fields to identify different materials.

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Ferromagnetism

Ferromagnetism is the property of certain materials that enables them to form magnets and be attracted to magnets.

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Paramagnetism and Diamagnetism

Paramagnetism is the attraction of material while in a magnetic field, and diamagnetism is the repulsion of magnetic fields.

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Solenoids, Current Loops, and Electromagnets

Solenoids are loops of wire around a metallic core, and can be used to create controlled magnetic fields.

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Magnetism
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