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Magnetism & Induction Physics Objectives: Describe the magnetic field produced by a current carrying wire. Compare and contrast magnetic poles and electric charges. Describe how voltage is induced in a coil of wire. Describe how a transformer works. The Relationship between Electricity & Magnetism Electricity and magnetism were regarded as unrelated phenomenon into the early 19th century. In 1820, Hans Christian Oersted discovered a relationship between the two. While demonstrating electric currents, Oersted and his students noticed that the needle on a nearby compass moved when a current passed through the wire. This discovery showed that a moving electric charge is accompanied by a magnetic force! The Source of Magnetism In most atoms, there are pairs of electrons that spin in opposite directions and their magnetic affect is canceled. Iron, however, has four electrons whose spin is uncanceled. Clusters of aligned atoms are called magnetic __________________. Unmagnetized Material Magnetized Material The alignment of domains causes a material to become magnetized. Two magnetic poles result from this alignment. Like electric charges, opposites poles attract and like poles repel. Unlike electric charges, magnetic poles cannot be isolated. If you break a bar magnet in half, you get two short bar magnets, each with a north and south pole. 1 Magnetic Field Lines As with electric fields, magnetic fields are illustrated with lines. It is customary for the lines to originate at a north pole and terminate at a south pole. Where lines are closer together, the magnetic field is stronger. Magnetic Field around a Current-Carrying Conductor As Oersted discovered, a magnetic field surrounds a wire which is carrying an electric current. The direction of the magnetic field is given by ________________________________ Arrange your right hand so that the thumb points in the direction of the current. Your fingers will now curl in the direction of the magnetic field. Arranging the wire in a coil causes the magnetic field to be concentrated at the center of the coil. The electrical device used to store energy in this magnetic field is called an ____________________ . 2 Induction Much as a moving electric charge creates magnetism, a changing magnetic field produces a current in a wire. This is known as induction. Faraday’s Law may be used to calculate the voltage produced by a changing magnetic field. Transformers Constructed of two coils and usually connected by a common iron core. The input voltage is applied to the primary coil. The current produces a magnetic field. The iron core directs much of this magnetic field to the secondary (output) coil. The changing magnetic field in the iron core produces a voltage at the secondary coil. Because the secondary coil depends on the changing magnetic field to induce a voltage, the input voltage must be from an alternating current (ac) source. 3 The input and output voltages of a transformer are directly related to the number of turns in the primary and secondary coils: 𝑉𝑠 𝑁𝑠 = 𝑉𝑝 𝑁𝑝 Vs = secondary voltage Vp = primary voltage Ns = number turns on secondary coil Np = number of turn on primary coil Example: A transformer is constructed with 1600 turns on the primary coil and 4000 turns on the secondary coil. If a potential of 40 volts is applied to the primary, what voltage will appear on the secondary? Q1) When 120 volts is applied to the input (primary) coil of a transformer, the output voltage on the secondary is 6 volts. If the primary coil consists of 1000 turns, how many turns are in the secondary coil? Q2) A transformer is designed to increase its input voltage with 250 turns on the primary coil and 1400 turns on the secondary coil. If we measure 40 volts on the output (secondary) of the transformer, what is the input (primary) voltage? Q3) A transformer has a primary input voltage of 18 volts. The output voltage is 4.95 volts. If the primary coil has 800 turns, how many turns are on the secondary? 4