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Electromagnetic Waves EM waves are created by vibrating electric charges. (electrons in atoms!) These do not need a medium because they travel by transferring energy between electric and magnetic fields.
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Electromagnetic Waves These electric and magnetic fields continually create one another allowing for EM waves to exist. Click Here for a 3D EM Wave Demo [http://www.monos.leidenuniv.nl/smo/basics/images/wave.gif]
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EM Wave Properties The speed of an EM wave depends on the medium it is traveling through. As the medium becomes more dense, the speed decreases! [http://micro.magnet.fsu.edu/primer/java/speedoflight/javalightspeedfigure1.jpg]
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EM Wave Properties In a vacuum, EM waves travel at 300,000,000 m/s. Air is 299,997,000 m/s so we will use 300,000,000 m/s for simplicity.
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Scientific Notation Removes extra “zeros” from numbers to make them smaller. Example: 300,000,000. m/s 3.0 x 10 8 m/s
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Scientific Notation Move decimal to the left = positive exponent. 23,000,000. Left 7 “spaces” 2.3 x 10 7
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Scientific Notation Move decimal to the right = negative exponent. 0.0000067 Right 6 “spaces” 6.7 x 10 -6
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Scientific Notation Calculations Multiplication Multiply the mantissas. Add the exponents. Mantissa must have only 1 number in front of the decimal.
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Scientific Notation Calculations Example: (3.0 x 10 4 ) x (4.0 x 10 3 ) 12.0 x 10 7, but the mantissa is bigger than 10 so…. 1.2 x 10 8
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Scientific Notation Calculations Division Divide the mantissas. Subtract the exponents. Mantissa must have only 1 number in front of the decimal.
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Scientific Notation Calculations Example: (2.0 x 10 7 ) / (4.0 x 10 3 ) 0.5 x 10 4, but the mantissa is less than 1 so… 5.0 x 10 3
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Scientific Notation & Calculators
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Graphing or 2-line (6.67 x 10 -11 ) Enter 6.67 Press the EE Key Enter -11 6.67 x 10 -11 Scientific Notation & Calculators
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One Line (3.71 x 10 -5 ) Enter 3.71 Press the EE Key or EXP Key Enter -5 3.71 x 10 -5 Scientific Notation & Calculators
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For both calculators, when entering negative exponents use the “negative” key not the “minus sign” key!!!
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