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Household Magnets 1 Household Magnets 2 Household Magnets Observations about Household Magnets They attract or repel, depending on orientation Magnets stick only to certain metals Magnets affect compasses The earth is magnetic Some magnets require electricity Turn off all electronic devices Household Magnets 3 1. 2. 3. 4. 5. 5 Questions about Household Magnets Why do any two magnets attract and repel? Why must magnets be close to attract or repel? Why do magnets stick only to some metals? Why does a magnetic compass point north? Why do some magnets require electricity? Household Magnets 4 Question 1 Q: Why do any two magnets attract and repel? A: Each magnet has both north and south poles Like magnetic g poles p repel, p opposite pp p poles attract Magnetic pole is a conserved quantity Household Magnets 5 North pole is a “positive” amount of pole. South pole is a “negative” amount of pole. The net pole on any object is always exactly zero! Household Magnets 6 Magnets Unlike charges, free poles are never observed A magnet always has equal north and south poles It has magnetic polarization, but zero net pole A typical bar or button magnet is a magnetic dipole A dipole has one north pole and one south pole A fragment of a magnet has a net pole of zero it retains its original magnetic polarization it is typically a magnetic dipole Question 2 Q: Why must magnets be close to attract or repel? A: Forces are weakened by distance and cancellation The magnetostatic g forces between p poles are proportional to the amount of each pole proportional to 1/distance2 force = permeability of free space pole1 pole 2 4π (distance between poles)2 1 Household Magnets 7 Household Magnets 8 Forces between Magnets Each magnet has both north and south poles Magnets simultaneously attract and repel The net forces and net torques on magnets depend on distance and orientation are typically dominated by the nearest poles increase precipitously with decreasing distance Question 3 Q: Why do magnets stick only to some metals? A: Only a few metals are intrinsically magnetic. Electrons have intrinsic magnetic g dipoles p In a few solids, the cancellation is incomplete Household Magnets 9 Ferromagnetic materials have magnetic domains Soft & Hard Magnetic Materials Those domains ordinarily cancel on another A magnet can alter those domains → magnetization A magnet can magnetize i a steell refrigerator fi it causes some domains to grow and others to shrink the steel develops a net magnetic polarization it attracts the magnetic pole that magnetized it Magnets thus stick to steel refrigerators Household Magnets 11 Hard magnetic materials have domains that don’t grow or shrink easily, so they are hard to magnetize or demagnetize. They can be magnetized permanently. Soft magnetic materials have domains the grow or shrink easily, so they are easy to magnetize or demagnetize. They Th qquickly i kl fforget r t th their ir pr previous i m magnetizations. n tiz ti n Household Magnets 12 Question 4 Q: Why does a magnetic compass point north? A: Earth’s magnetic field twists it northward. The earth p produces a magnetic g field that Iron and most steels are ferro ferromagnetic magnetic materials Household Magnets 10 Refrigerators and Magnets In atoms, much of that magnetism remains active In solids, that magnetism is usually cancelled perfectly pushes north poles northward, south poles southward exerts torques on magnetic dipoles, such as compasses Magnetic Fields A magnetic field is a structure in space and time that pushes on pole a vector field: field: a vector at each point in space and time observed b r d using in a n north rth ttestt p pole l att each hp point int A compass immersed in earth’s magnetic field aligns it so that its north pole points northward. 2 Household Magnets 13 Household Magnets 14 Question 5 Q: Why do some magnets require electricity? A: Electric currents are magnetic! A currentcurrent-carrying y g wire produces p a magnetic g field A currentcurrent-carrying coil mimics a bar magnet An electromagnet typically uses an electric current Electromagnetism (Version 1) magnetic poles and subatomic particles, moving electric charges, and nd changing h n in electric l tri fi fields ld [for [f r llater…]. t r ] Summary about Household Magnets Electric fields are produced by electric charges and subatomic particles, moving magnetic poles [for later…], and changing magnetic fields [for later…]. to produce a magnetic field to magnetize a ferromagnetic material Household Magnets 15 Magnetic fields are produced by Household Magnets 16 They all have equal north and south poles They polarize soft magnetic materials and stick They are surrounded by magnetic fields Can be made magnetic by electric currents Electric Power Distribution Turn off all electronic devices Household Magnets 17 Observations about Electric Power Distribution Household electricity is alternating current (AC) Household voltages are typically 120V or 240V Power is distributed at much higher voltages Power transformers are common around us Power substations are there, but harder to find Household Magnets 18 4 Questions about Electric Power Distribution 1. 2. 3. 4. Why isn’t power transmitted via large currents? Why isn’t power delivered via high voltages? What is “alternating current” and why use it? How does a transformer transfer power? 3 Household Magnets 19 Household Magnets 20 Question 1 Q: Why isn’t power transmitted via large currents? A: Too much power would be wasted in the wires. Current--carrying Current y g wires consume and waste power p power wasted = current · voltage drop in wire voltage drop in wire = resistance · current (Ohm’s law) power wasted = resistance · current2. Question 2 Q: Why isn’t power delivered via high voltages? A: High voltage power is dangerous. a spark hazard, a fire hazard, and a shock hazard. Large currents waste large amounts of power Household Magnets 21 High g voltages g can produce p large g voltage g gradients g Current may flow through unintended paths Household Magnets 22 The Voltage Hierarchy Electric power delivered to a consumer is power delivered = current · voltage drop Large currents are too wasteful for transmission High voltages are too dangerous for delivery So electric power distribution uses a hierarchy: Question 3 Q: What is “alternating current” and why use it? A: Fluctuating current → so transformers will work In alternatingg current, the voltages of the power delivery wires alternate and the resulting currents normally alternate, too. high-voltage transmission circuits in the countryside highmedium--voltage circuits in cities medium low low--voltage delivery circuits in neighborhoods Transformers transfer power between circuits! Household Magnets 23 Household Magnets 24 AC and Transformers Alternating voltage in the US completes 60 cycles per second, so voltage and current reverse every 1/120 second. AC complicates li the h ddesign i off electronic l i ddevices i AC permits the easy use of transformers, which can move power between circuits: from a low low--voltage circuit to a highhigh-voltage circuit from a highhigh-voltage circuit to a lowlow-voltage circuit Question 4 Q: How does a transformer transfer power? A: Its changing magnetic fields induce currents. that produces an alternating magnetic field that produces an electric field that pushes current through the secondary coil The p primaryy coil carries an alternatingg current Power moves from primary coil to secondary coil 4 Household Magnets 25 Household Magnets 26 Electromagnetism (Version 2) Magnetic fields are produced by magnetic poles and subatomic particles, moving electric charges, and nd changing h n in electric l tri fi fields ld [more [m r llater…]. later…] t r ]. Electromagnetic Induction Electric fields are produced by electric charges and subatomic particles, moving magnetic poles, poles, and changing magnetic fields. fields. Moving poles or changing magnetic fields produce electric fields, which propel currents through conductors, which p produce magnetic g fields. Changing magnetic effects induce currents Induced currents produce magnetic fields Household Magnets 27 Household Magnets 28 Lenz’s Law When a changing magnetic field induces a current in a conductor, the magnetic field from that current opposes the change that induced it Transformers Alternating current in one circuit can induce an alternating current in a second circuit A transformer uses induction i d i to transfer power between its circuits but doesn’t transfer any charges between its circuits Household Magnets 29 Household Magnets 30 Current and Voltage Step--Down Transformer Step A transformer must obey energy conservation Power arriving in its primary circuit must equal power leaving in its secondary circuit Si Since power is i the h product d off voltage l · current, current, a transformer can exchanging voltage for current or current for voltage! A step step--down transformer has relatively few turns in its secondary coil so charge is pushed a shorter distance and nd experiences p ri n a smaller m ll r voltage lt ri rise A larger current at smaller voltage flows in the secondary circuit 5 Household Magnets 31 Household Magnets 32 Step--Up Transformer Step A step step--up transformer has relatively many turns in its secondary coil so charge is pushed a longer distance and nd experiences p ri n a llarger r r voltage lt ri rise Power Distribution System A smaller current at larger voltage flows in the secondary circuit Household Magnets 33 Household Magnets 34 Summary about Electric Power Distribution Inductor A step step--up transformer increases the voltage for efficient longlong-distance transmission A step step--down transformer decreases the voltage for safe delivery to communities comm nities and homes Electric and magnetic fields both contain energy Electromagnet has magnetic energy Stores energy as current increases Releases R l energy as current decreases d Exhibits Lenz’s law Current change induces opposing current Opposes any changes in current Electric power is transmitted at high voltages Electric power is delivered at low voltages Transformers transfer power between circuits Transformers require AC power to operate The power distribution system is AC Known as an inductor 6