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howto:hambasics:temp [2019/11/25 17:54] ve7hzfhowto:hambasics:temp [2019/11/25 18:25] – [Amplitude, Wavelength, Period, and Frequency] ve7hzf
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 {{ :howto:hambasics:travelingwaves.png }} {{ :howto:hambasics:travelingwaves.png }}
  
-  * the **amplitude** is the **vertical** height from the centre of the wave to its highest (or lowest) point.  <fc #0014a8>The blue wave has an amplitude of 2</fc> and the <fc #008000>green wave has an amplitude of 1</fc>+  * the //amplitude// is the vertical height from the centre of the wave to its highest (or lowest) point.  <fc #0014a8>The blue wave has an amplitude of 2</fc> and the <fc #008000>green wave has an amplitude of 1</fc>
-  * the **wavelength** is the **horizontal** distance of one full cycle.  <fc #0014a8>The blue wave has a wavelength of 2m </fc> and the <fc #008000>green wave has a wavelength of 6m</fc>.+  * the //wavelength// is the horizontal distance of one full cycle.  <fc #0014a8>The blue wave has a wavelength of 2m </fc> and the <fc #008000>green wave has a wavelength of 6m</fc>.
  
 Now imagine that the animation is in super slow motion and that the waves are actually travelling at the speed of light, which is roughly 300,000,000 metres per second: How many times does each dot go up and down in one second? Now imagine that the animation is in super slow motion and that the waves are actually travelling at the speed of light, which is roughly 300,000,000 metres per second: How many times does each dot go up and down in one second?
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 Now, here's a related question: how long does it take for each wave to complete one cycle? Now, here's a related question: how long does it take for each wave to complete one cycle?
  
-  * For the blue wave, we know that it oscillates 150,000,000 times / second, so only one of those time would be 150,000,000<sup>th</sup> of a second.  That is: $\frac{1}{150,000,000}\text{s} = 6.67 \times 10^-9 \text{s} = 6.67 \text{ns}$ +  * For the blue wave, we know that it oscillates 150,000,000 times / second, so only one of those time would take 150,000,000<sup>**th**</sup> of a second, or $\frac{1}{150,000,000}or 6.67 10<sup>-9</sup> or 6.67 ns.(("ns" means nanosecond. "Nano" means a billionth of ___)) 
-  *  +  * Similarly, the green wave oscillates at 50,000,000 cycles per second, so only one of those cycle would take $\frac{1}{50,000,000}$ s or 2 x 10<sup>-8</sup> s or 20 ns.
  
 +The time to complete one full cycle is called the //period (T)// and is the reciprocal of the frequency:
  
 +<latex> \qquad  $$f = \frac{1}{T}  \qquad  \text{or}   \qquad T = \frac{1}{f}$$</latex>
  
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 Look at the following two waves.  How are they different? Look at the following two waves.  How are they different?