Conceptual Physics. Chapter 24: MAGNETISM

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Transcription:

Conceptual Physics Chapter 24: MAGNETISM

Magnetism The term magnetism comes from the name Magnesia, a coastal district of ancient Thessaly, Greece. Unusual stones, called lodestones, were found by the Greeks more than 2000 years ago. They had the intriguing property of attracting pieces of iron. Magnets were first fashioned into compasses and used for navigation by the Chinese in the 12th century.

Magnetic Forces The force between any two charged particles is described in Coulomb s law: But Coulomb s law is not the whole story! When charged particles are moving with respect to each other, there is a force due to the motion of the charged particles that we call the magnetic force.

Magnetic Poles All magnets have a North and South pole North pole (north-seeking pole) South pole (south-seeking pole) Rule for magnetic forces between magnetic poles: Like poles repel; opposite poles attract.

Magnetic Poles In all magnets can t have one pole without the other No single pole known to exist Example: simple bar magnet poles at the two ends horseshoe magnet: bent U shape poles at ends

Magnetic Fields Direction (by convention) is North to South Strength indicated by closeness of the lines lines close together; strong magnetic field lines farther apart; weak magnetic field

Magnetic Fields The letter B represents the vector for magnetic field, which is measured in teslas (T).

Magnetic Fields

Magnetic Fields Uniform Magnetic Fields

Magnetic Fields

Magnetic Fields Produced by two kinds of electron motion Electron Spin main contributor to magnetism pair of electrons spinning in same direction creates a stronger magnet pair of electrons spinning in opposite direction cancels magnetic field of the other Electron Revolution

Magnetic Domains Magnetic domains are magnetized clusters of aligned magnetic atoms Permanent magnets are made by: placing pieces of iron or similar magnetic materials in a strong magnetic field. stroking material with a magnet to align the domains.

Magnetic Domains Difference between permanent magnet and temporary magnet: Permanent magnet Alignment of domains remains once external magnetic field is removed Temporary magnet Alignment of domains returns to random arrangement once external magnetic field is removed

Magnetic Domains

Electric Currents & Magnetic Fields Connection between electricity and magnetism Magnetic field forms a pattern of concentric circles around a current-carrying wire. When current reverses direction, the direction of the field lines reverse.

Electric Currents & Magnetic Fields

Electric Currents & Magnetic Fields We can calculate the magnitude of the magnetic field, B, of a long, straight, current-carrying wire using the following equation: B = μ 0 2π I r Where μ 0 is known as the permeability of free space and has the value μ 0 = 4π x 10-7 T m/a

Electric Currents & Magnetic Fields

Electric Currents & Magnetic Fields Magnetic field intensity Increases as the number of loops increase in a current-carrying coil temporary magnet.

Electric Currents and Magnetic Fields Electromagnet Iron bar placed in a current-carrying coil Most powerful employs superconducting coils that eliminate the core Applications control charged-particle beams in high-energy accelerators lift automobiles and other iron objects levitate and propel high-speed trains

Electromagnets An electromagnet is simply a current-carrying coil of wire. The strength of an electromagnet is increased by increasing the current through the coil and increasing the number of turns in the coil. having a piece of iron within the coil. Magnetic domains in the iron core are induced into alignment, adding to the field.

Electromagnets Electromagnets that utilize superconducting coils produce extremely strong magnetic fields and they do so very economically because there are no heat losses.

The Large Hadron Collider (LHC) uses more than 50 types of electromagnets to accelerate sub-atomic particles to 99.9% the speed of light. Giant electromagnets are used to move scrap metal at a construction site.

Magnetic Forces on Moving Charges Moving charges in a magnetic field experience a deflecting force. Greatest force when particle movement in direction perpendicular to the magnetic field lines Least force - particle movement other than perpendicular to the magnetic field lines No force - particle movement parallel to the magnetic field lines

Magnetic Forces on Moving Charges Moving charges in a magnetic field experience a deflecting force. (continued)

Magnetic Forces on Moving Charges We use a different right hand rule to determine the Magnetic Force on a positive charge moving perpendicular to a magnetic field.

Magnetic Forces on Moving Charges The following formula can be used to calculate the magnetic force on a charge moving in an external magnetic field. F B = q ԦvB sin θ F B = q ԦvB Reduced to this form when charges move perpendicularly to the magnetic field. (sin Ɵ = 1 when Ɵ = 90 degrees.)

Magnetic Forces on Moving Charges When the velocity of a charged particle is perpendicular to a uniform magnetic field, the particle moves in a circular path in a plane perpendicular to B. F B acts as a centripetal force. F C = F B m v2 r = qvb

Magnetic Forces on Moving Charges A charge, q, moving at a speed of v enters a uniform magnetic field, B. I. Determine the radius of the circular path in terms of the given variables. II. Determine whether the charge shown in the diagram is positive or negative. B

Magnetic Forces on Moving Charges How much work is done by the magnetic force? None! The force of magnetism ALWAYS acts perpendicularly to the motion of charges. Therefore, there is no force in the direction of motion and so no work is done. Magnetism CANNOT change the kinetic energy or speed of a charged particle. It CAN however, accelerate it by changing its direction only.

Magnetic Force on Current- Carrying Wires Current of charged particles moving through a magnetic field experiences a deflecting force. Direction is perpendicular to both magnetic field lines and current (perpendicular to wire). Strongest when current is perpendicular to the magnetic field lines.

Magnetic Force on Current- Carrying Wires ԦF B = ILB sin θ * L is the length of the wire inside the field

Magnetic Force on Current- Carrying Wires I I I I F B F B F B F B Currents in the SAME direction attract; Currents in the OPPOSITE direction repel.

Magnetic Force on Current- Carrying Wires Electric meters detect electric current Example: magnetic compass compass in a coil of wires

Magnetic Force on Current- Carrying Wires Galvanometer Current-indicating device named after Luigi Galvani Called ammeter when calibrated to measure current Called voltmeter when calibrated to measure electric potential

Magnetic Force on Current- Carrying Wires Electric motor

Earth s Magnetic Field Earth is itself a huge magnet. The magnetic poles of Earth are widely separated from the geographic poles. The magnetic field of Earth is not due to a giant magnet in its interior it is due to electric currents. Earth s magnetic field reverses direction: 20 reversals in last 5 million years.

Earth s Magnetic Field Universe is a shooting gallery of charged particles called cosmic rays. Cosmic rays are deflected away from Earth by Earth s magnetic field. Some of them are trapped in the outer reaches of Earth s magnetic field and make up the Van Allen radiation belts

Earth s Magnetic Field Disturbances in Earth s field often allow the ions to dip into the atmosphere, causing it to glow like a fluorescent lamp. Hence the aurora borealis or aurora australis.