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Electromagnets Which is stronger? Without Core or With Core? What is a galvanometer? A galvanometer is an electromagnet that interacts with a permanent magnet. The stronger the electric current passing through the electromagnet, the more is interacts with the permanent magnet. Galvanometers are used as gauges in cars and many other applications. The greater the current passing through the wires, the stronger the galvanometer interacts with the permanent magnet. Galvanometer Question 1. A galvanometer whose resistance is 2 kW is used to make an ammeter that deflects full-scale for 20 mA. a. What is the potential difference across the galvanometer (2.0 kW resistance) when a current of 60uA passes through it? b. What is the equivalent resistance of parallel resistors having the potential difference calculated in (a) for a circuit with a total current of 20 mA? c. What resistor should be placed parallel with the galvanometer to make the resistance calculated in part (b)? Simple Motor What are electric motors? An electric motor is a device which changes electrical energy into mechanical energy. How does an electric motor work? Go to the next slide Simple as that!! Which would be a more strong magnet? A. A B. B C. They would be the same B D. Not enough information to decide A Which would be a more strong magnet? A. A B. B C. They would be the same D. Not enough information to decide A B Which compass shows the correct direction of the magnet field at point A? A. B. C. D. A Which compass shows the correct direction of the magnet field at point A? A. B. C. D. A Chapter 25 Electromagnetic Induction We have seen how electricity can produce a magnetic field, but a magnetic field can also produce electricity! How? What is electromagnetic induction? Moving a loop of wire through a magnetic field produces an electric current. This is electromagnetic induction. A generator is used to convert mechanical energy into electrical energy by electromagnetic induction. Carefully study the next diagrams: Generators vs. Motors Generator Electric Motor Mechanical to Electrical Electrical to Mechanical Steam engine, Water wheel, Wind turbine, hand crank, gas powered Fans, appliances, power tools, Np > Ns Electromotive Force Voltage caused by the magnetic field Equal to the magnitude of the magnetic field, times the length of the wire times the component of the velocity of the wire in the field perpendicular to the field. EMF = BLv (sin q) Electromagnetic Induction Generate Current through a circuit by moving it perpendicular through a magnetic field. Fourth Right Hand Rule – Fingers in the direction of Magnetic Field, Thumb in the direction of motion = Palm in the direction of CONVENTIONAL current EMF = Palm Motion = Thumb Magnetic Field = Fingers Practice Problem A straight wire, 0.20 m long, moves at a constant speed of 7.0 m/s perpendicular to a magnetic field of strength 8.0 x 10-2 T. a. What EMF is induced in the wire? b. What direction is the EMF induced? c. The wire is part of a circuit that has a resistance of 0.50 W. What is the current through the wire? Review from 3/1/11 1. What are some key terms in how an electric motor works? 2. How does an Electric Motor work? 3. How does a Generator work? 4. What is Faraday’s Law of Induction? 5. What are the 4 things that increase the strength of an electromagnet? 6. Why does an iron core increase the strength of an electromagnet? Review from 3/1/11 1. What are some key terms in how an electric motor works? Electromagnet, permanent magnet, current, like poles, opposite poles, solenoid, rotation 2. How does an Electric Motor work? 1st: Converts electrical energy to mechanical energy. 2nd: Current flows which turns the solenoid into a electromagnet. The changing attraction and repulsion of the electromagnet and permanent magnet cause the motor to rotate. Review from 3/1/11 1. One more time…..How does an Electric Motor work? 2nd: Current flows, turns the solenoid into an electromagnet, the like poles of the permanent magnet and electromagnet repel, then the opposite poles of the electromagnet and permanent magnet attract, this causes the electromagnet to rotate, if the current stayed going in the same direction, the solenoid would stop rotating, but the current reverses direction, so the poles of the solenoid reverse which repels the solenoid from the permanent magnet which continues the rotation. Review from 3/1/11 3. How does a Generator work? 1st: Mechanical Energy converts to electrical energy 2nd: A hand crank rotates a solenoid in a magnetic field. Therefore, the wires are experiencing a changing magnetic field. This change in magnetic field, produces an electromotive force on the electrons. 4. What is Faraday’s Law of Induction? The EMF generated is proportional to the rate of change of the magnetic field. Review from 3/1/11 5. What are the 4 things that increase the strength of an electromagnet? 1. Addition of Iron Core 2. Increase diameter of Coils 3. Increase number of Coils 4. Increase voltage 6. Why does an iron core increase the strength of an electromagnet? It’s a temporary magnet so the domains line up with the electromagnet. Now there are two magnets, which at least doubles the magnetism. Direct current versus alternating current – AC vs DC : What’s the difference? •Direct current is electrical current which comes from a battery which supplies a constant flow of electricity in one direction. •Alternating current is electrical current which comes from a generator. As the electromagnet is rotated in the permanent magnet the direction of the current alternates once for every revolution. •You can see that the DC source is a battery – current flows in one direction. The AC source is the generator and the current alternates once for each revolution. •In the US, electric utilities use a 60-Hz frequency, meaning that the current alternates direction (forward to backward and back to forward) 60 times in one second. Effective Current & Voltage Effective Current Effective Voltage Effective Current & Voltage Effective Current & Voltage Practice Problem 1. A generator develops a maximum voltage of 170 V. a. What is the effective voltage? b. A 60-W light bulb is placed across the generator with an Imax of 0.70 A. What is the effective current through the bulb? c. What is the resistance of the light bulb when it is working? 2. The RMS voltage of an AC household outlet is 117 V. What is the maximum voltage across a lamp connected to the outlet? If the RMS current through the lamp is 5.5 A. What is the current in the lamp? Lenz’s Law If you have one current that generates a magnetic field. That magnetic field will produce a current in the opposite direction of the first current. If you have a magnetic field that generates a current, the current will generate a magnetic field in the opposite direction of the first magnet. MIT Video Transformers The primary voltage (on the left) induces a magnetic field in the core, which creates the secondary voltage (on the right). What makes transformers so useful is that if you change the number of turns from one side to the other, you change the voltage in the wire on the right! Transformers can change a high voltage to a lower one, or a low voltage to a higher one. Step Up Transformer A step-up transformer converts a low voltage to a higher one. If you increase the number of turns on the right, the voltage coming off the transformer will increase in proportion. The right side has 4 times more turns so the voltage on the right has increased 4 times. So the voltage has been stepped up by a factor of 4. Step Down Transformer Step-down transformer reduces voltage. If you decrease the number of turns on the right, the voltage coming off the transformer will decrease in proportion. The right side has 1/5 the number of turns, so the voltage is only 1/5 as large. So the voltage has been stepped down by 5. Transformer Math The ratio of the number of turns is the same as the ratio of the voltages Vp N p Vs N s An ideal transformer, which we will always assume, dissipates no power (waste heat). The power of the primary circuit is equal to the power of the secondary current P P p s V I V I p p s s We use this assumption about power to find the current in the secondary circuit Is N p Ip Ns Final Thoughts on Transformers Step-Up Transformer Step-Down Transformer Vp < Vs Vp > Vs Ip > I s Ip < I s Np < Ns Np > Ns Final Thoughts on Transformers Step-Up Transformer Step-Down Transformer Consists of two inductively coupled coils wound on a laminated iron core. Consists of two inductively coupled coils wound on a laminated iron core. More turns in the secondary coil than the primary coil Less turns in the secondary coil than the primary coil Higher output voltage than input voltage Lower output voltage than input voltage Lower output current than input current Higher output current than input current Used at Power stations to increase voltage and reduce current for longdistance transmission Used at substations and in towns to reduce transmission line voltage for domestic and industrial use. Used in television sets to increase voltage to operate the picture tube Used in computers, radios, and CD players to reduce household electricity to very low voltages for electronic components. Transformer Practice Problem 1. A transformer is designed to change 120.0 V into 1.0 x 104 V, and there are 5.00 x 103 turns in the primary coil. How many turns are in the secondary, assuming 100% efficiency? 2. A transformer has 420.0 turns in the primary and 120.0 in the secondary. Assuming 100% efficiency. a. What kind of transformer is this? b. By what factor does number of turns change the voltage? c. By what factor does it change the current?