M. Rocha
Physics 2B
Moving charges produce magnetic fields
and moving magnetic fields produce electric fields
Current
Oscillating charges create oscillating magnetic fields, which in turn create oscillating electric fields
The result are oscillating electric and magnetic fields that regenerate each other while traveling on space
E&M waves need not material medium to travel!
They can travel on vacuum
E&M waves have the standard properties of waves, but they all travel at the same speed, the speed of light
Wavelength (m)
E&M waves in the visible range of the spectrum
Normal: Line perpendicular to interface
Checkpoint
What color of light has the highest frequency?
Violet
Checkpoint
What color of light has the shortest wavelength?
Violet
The bending of waves due to change of speed
Light rays refract (bend) when they pass from one medium to another at an oblique (not straigth) angle
Refraction is the result of waves changing speed as they cross from one medium to anoter
Waves bend towards the normal when going from fast to slow
and
away from the normal when going from slow to fast
Checkpoint 3
If you want to spear a fish from above the water, do you have to aim higher or lower?
Image
Actual
Lower
Dispersion happens because the refraction of light is frequency dependent
This is because higher frequencies travel slower inside the prism
Slowest
Fastest
Primary Colors:
Complementary Colors:
Red
Green
Blue
White - Red = Cyan
White - Green = Magenta
White - Blue = Yellow
Y
C
M
Most materials absorb light of some frequencies and reflect the rest
A red ball for example absorbs light of most visible frequencies and reflects red
Red ball seen under white light
Red ball seen under red light
Red ball seen under green light
Blue glass transmits only energy of the frequency of blue light. Energy of the other frequencies is absorbed and warms the glass
The radiation curve of sunlight is a graph of brightness versus frequency. Sunlight is brightest in the yellow-green region.
As light from the sun travels through the atmosphere more and more blue/green light is scattered away
The molecules of our atmosphere scatter high frequency light (blue) more than low frequency light (red)
Checkpoint 4
Why are clouds white?
Because water droplets scatter light of all frequencies the same
Water molecules scatter infrared and to some extent red light
White - Red = Cyan
How a materials responds to light depends on the frequency of light and the natural frequency of electrons in the material
Glass is transparent to all the frequencies of visible light
Some opaque materials absorb certain frequencies while others reflect certain frequencies
In transparent materials, the frequency of the reemitted light is identical to that of the light that produced the vibration to begin with
A light wave incident upon a pane of glass sets up vibrations in the atoms.
Because of the time delay between absorptions and reemissions, the average speed of light in glass is less than c
In opaque materials, any vibrations from light are either absorbed and turned into internal energy or reflected
In metals, the outer electrons of atoms are not bound to any particular atom. When light shines on metal and sets these free electrons into vibration, their energy is reemitted as light