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Updates This week and next: Homework #4 (uses online applet) Reading Quiz on Tuesday will cover today’s reading and Tues reading: Review of 7.1 (Clocks) and 7.2 (Violins) for Today and 10.1 (Amplifiers) and 11.1(Radios) for Thursday Upcoming Dates: Feb. 20: Deadline for students who have three or more final exams on the same day to make arrangements to change their final exam schedule Feb. 17,18,19: LAB # 2, EKGs Today and next class: • Sound waves and speakers – Short review of 1010 … See Phys1010 October 7 Lecture notes. • Audio Amplifiers – electronics that makes this work. Looks complicated … new circuit part (capacitors, transistors, resistors.) Our goal is for you to be able to understand how components work and reason through where electrons are +9V Power Source flowing and why. 50 Ohm Resistor B Signal in from CD Player A Gate Signal out drives speaker C D S N Permanent Magnet E Ground Everyday Life Experience at the Ballpark: You are at the ball park sitting in the bleachers in the outfield (~325 ft from the batter). You see the bat hit the ball. About how long will it take before you hear the bat hit the ball? About 0.3 seconds How fast is that sound traveling? Speed = distance/time = 325 ft/0.3 s = 1083 ft/s or 330 m/s Speed of Sound in Air = 331 m/s at 0 degree C 343 m/s at 20 degree C (Speed of Light = 3 X 108 m/s… much, much faster) About 0.3 second means ~ 325 ft away from batter. In 0.03 seconds, travels ~ 32 ft and in 2 sec, ~2,160 ft What produces the sound? When bat hits ball, push the air causes a slight increase in the pressure of the air followed by a slight decrease in pressure air. What is it that your ear is detecting? This pressure fluctuation travels out in all directions as a wave, as air molecules push on the ones next to them and then they push on the ones next to them. As the pressure wave reaches your ear, you hear sound. AIR MOLECULES Just after clap Slight decrease More densely packed air molecule… Slight increase in pressure Later Experiment with ideal gas simulation Creating Musical Tones To create a pure sustained tone (like concert A), the speaker pushes on the air at regular intervals and this pushes on the air creating a series of pressure waves. In speaker we vibrate cone: Higher P Lower P All instruments work with same principle... push on air at regular intervals. SHOW SPEAKER IN ACTION Look at sound: Microphone detects changes in pressure. Sound waves traveling out Hit microphone, It flexes, Creates electrical signal Higher P Lower P pressure time Microphone Higher P Lower P pressure time Question: If I increase the volume, what will happen to the signal from the microphone? a. The peaks will go up and the valleys will go down. b. The peaks will get closer together. c. The whole signal will go up. d. Both a and b. e. Nothing will happen DO EXPERIMENT…. Microphone Higher P Lower P pressure time Question: If I increase the volume, what will happen to the signal from the microphone? Answer is a. The peaks will go up and the valleys will go down. When I turn up the volume, the speaker cone moves further and piles up more air molecules. High pressure is higher. Low pressure is lower. But on average pressure is the same. So, a louder volume means a larger pressure difference between peak and valley. Microphone Higher P Lower P Amplify Voltage Ear is detects very, very small pressure changes: Normal pressure of air (at sea) = 1 atmosphere Minimum pressure change detectible by ear = 2 X 10-10 atmospheres minimum change is 1 part in 5 billion, Maximum pressure change detectible by ear = 3 X 10-4 atmospheres maximum is 1 part in 3600. More than max === OUCH!!!!! Thinking about waves: Frequency (f) (Pitch) Wavelength (l) # of oscillations/sec Distance of one complete cycle (Hz = 1/s) (m) (e.g. distance between pressure maximums) Period (T) Time for one complete oscillation (s) Speed (v) Distance traveled per second (m/s) Relationships among these variables: Speed of sound = l X f distance of one oscillation * # oscillations per second = total distance per second. Speed of sound = l / T f = 1/T # oscillations/second = (1 second)/(time for one oscillation) End of sound review. On to new stuff: How can we make speaker cone move back and forth? Two parts: 1) Currents through coils produce magnetic fields NEW 2) Controlling the current through the coils. Speaker need to oscillate back and forth work? • Electricity causes speaker to move Currents through coils produce magnetic fields! Coil of wire Cone moves Permanent Magnet S N I N S N N S S Drive voltage V time Cone moves I Drive voltage Speakers and Microphones Speaker: Electrical signal Sound Microphone: Sound electrical signal Microphone Coil of wire Cone moves S N I N Permanent Magnet S Drive voltage V time V Oscilloscope time How does voltage driving speaker need to change in order to increase volume from speaker? (reasoning?) a. Voltage oscillations need be more rapid (more oscillations per second). b. Voltage oscillations need to be less rapid (fewer oscillations per second). c. Voltage oscillations need to be larger (higher highs and lower lows). d. Voltage oscillations need to be both larger and more rapid. e. Voltage oscillations need to be smaller (less high and low). c. Larger peak voltages, gives larger current flow through speaker. More current means bigger magnetic field in coil Bigger magnetic field in coil means speaker moves back and forth more. Controls volume. How does voltage driving speaker need to change in order to change pitch of tone to make it lower? (reasoning?) a. Voltage oscillations need be more rapid (more oscillations per second). b. Voltage oscillations need to be less rapid (fewer oscillations per second). c. Voltage oscillations need to be larger (higher highs and lower lows). d. Voltage oscillations need to be smaller (less high and low). e. Voltage oscillations need to be both smaller and more rapid. b. lower pitch means lower frequency, So speaker goes back and forth fewer times in one second, Voltage oscillations need to be less rapid. (farther apart in time). Current in speaker changes directions fewer times per second. Look at signal driving speaker vs. microphone signal How does signal driving speaker compare with voltage/current that comes out of bare microphone? a. bigger, b. smaller, c. about the same do experiment MUCH smaller!! Sound going to microphone has little power, makes smaller electrical signal. Need big current to drive speakers. Signals from CD player, phonograph (is just needle with microphone), radio are similar to microphone. Need to get much more power to drive a speaker. Audio Amplifiers Weak signal -> small sound V time Could we use a transformer to make the signal from microphone big enough to drive a speaker? a. yes, b. no, c. yes if big enough transformer but probably not practical. transformer will not work. Does not add energy. Need more power (I x V) to drive speaker. Transformer makes I or V bigger, but P=IV stays the same! • Audio amplifier adds energy. same power, puny signal V Amplifier Larger current, More power! Voltage supply voltage current 0 0 time time Is this the type of current we want to drive the speaker? a. just what you want to drive speaker b. speaker might work, but would waste a lot of power c. speaker would not work at all d. speaker would burn up b. sound comes from motion back and forth, this has big constant current on top of oscillation. at best wastes energy, at worst burns up speaker d. Capacitor can take voltage of …. and make current like current voltage 0 0 time time turn this (bad) into this (good) What is a capacitor? Just two thin metal foil plates. symbol thin metal plates with wires to each add insulator between so can squish together and roll up into little tube. Capacitors – two metal plates that store charge; insulator in between plates. No current or electron flow across here. +9V “Above Ground” GROUND (0 V) E in electric circuits hook on part to “ground”, infinite source or sink of electrons. Does not change anything compared to if wire straight from negative terminal to capacitor. Hook up to battery and close switch, what is the current through the meter? a. no current flows b. electrons flow down for a little while then stop c. current continues to flow until battery dead. d. electron current oscillates back and forth I? +9V “Above Ground” GROUND (0 V) E in electric circuits hook on part to “ground”, infinite source or sink of electrons. Does not change anything compared to if wire straight from negative terminal to capacitor. b. Electrons flow down for a little while then stop. Are attracted to + terminal of battery. Stop flowing when shortage of electrons at top (extra + charges) gives strong enough force so no more electrons can flow. Current Capacitors – two metal plates that store charge; insulator in between plates. 0 time after voltage hooked up. - - - - +++++++ +++++++ A B +9V “Above Ground” GROUND (0 V) E Capacitors – two metal plates that store charge; insulator in What was current on the right between plates. - - - - A B +++++++ +++++++ b. Electrons flow down for a little while then stop. Are attracted to + terminal of battery. Stop flowing when shortage of electrons at top (extra + charges) gives strong enough force so no more electrons can flow. side after hooked up battery? a. no current flows. b. same as on left, e’s flow down (away from capacitor) c. same as on left but opposite direction, e’s flow up (towards capacitor) d. e’s only go from battery to ground. I? +9V “Above Ground” GROUND (0 V) E Capacitors – two metal plates that store charge; insulator in between plates. c. same as on left but opposite direction, electrons flow up towards capacitor. Extra positive charge on left side of cap. attracts negatives. So end up with exactly equal and opposite charge on each side of capacitor. Flows until 9 V difference across Capacitor balances force from battery. e’s flow out of ground. Equal number of e’s flow from battery into ground as flow into + side of battery. -- -- -- -- -- -- -+++++++ +++++++ A B +9V - - - - GROUND (0 V) - - - - +9V “Above Ground” - - - - Capacitor Demo - - - - E Capacitors – two metal plates that store charge; insulator in between plates. What is Voltage at B? a. -9 V b. +9 V c. 0 V Answer is c: 0 Volts. If not 0 Volts, would still have flow of electrons to or from ground. Voltage difference across capacitor plates EQUAL to voltage difference across Power Supply -- -- -- -- -- -- -+++++++ +++++++ A B +9V 0V +9V “Above Ground” Adjustable Power Supply GROUND (0 V) E Capacitors – two metal plates that store charge; insulator in between plates. - - - - -- -- -- -- -- -- -+++++++ +++++++ What if can control voltage instead of using 2) Attraction of electrons on Plate B to battery? What happens if drop voltage to 4 positive charge on Plate A has decreased. Volts? Force of electrons repelling each other is 1) Plate A is at higher voltage than Supply. greater than attraction to Plate A, so some Electrons flow towards Plate A until electrons leave … flow back to Ground. voltage difference is 0. Excess positive A B charge on Plate A will decrease. +4V +9V +0V - - - - +4V 9V “Above Ground” - - - - E GROUND - - - - Adjustable Power Supply Capacitors – two metal plates that store charge; insulator in between plates. So if we can vary voltage at Plate A, we can create an alternating current through the speaker and drive the speaker. A B ------+++++++ Adjustable Power Supply +4V “Above Ground” E GROUND