Contents:

  1. Introduction
  2. Sine Waves
  3. Wave Speed
  4. Transverse
  5. SHO I
  6. SHO II
  7. Longitudinal
  8. Water Waves
  9. 2D Waves
  10. Adding Waves
  11. Interference
  12. Group Velocity
  13. Other Waves
  14. Fourier
  15. Reflection
  16. Boundaries
  17. Standing Waves
  18. Refraction
  19. Lenses
  20. Path Difference
  21. Impedance
  22. Dispersion I
  23. Dispersion II
  24. Diffraction
  25. Doppler
  26. Electromagnetic I
  27. Antenna
  28. Electromagnetic II
  29. Polarization
  30. Wave Equation
  31. Mass Chains
  32. Non-linearity
  33. Solitons

Ejs Created with Easy Java Simulations


26: Electromagnetic Waves I

Electric charges have electric fields. The simulation first shows a moving positive charge and the electric field around it in two dimensions. If the charge is accelerated there will be a disturbance in the field. This is the origin of electromagnetic waves. Note that the energy carried by the disturbance comes from the input energy needed to accelerate the charge.

Questions:

26.1. Run the simulation. Change the speed and describe what you see. How does the change in speed (acceleration) affect the initial disturbance of the field (try changing the speed slowly versus rapidly)?

26.2. What happens at constant speed? Is there still a disturbance? What happens if you suddenly slow the charge down?

26.3. Now click the Animation 2 button. Describe what you see. Explain what you would notice about the field over time if you were measuring it at a point along the x-axis and compare that with what you would measure at a distant point along the y-axis.

A charge oscillating in the y-direction will produce an electromagnetic wave traveling in the x-direction as seen in Animation 2. For directions other than along the x-axis the wave has a lower amplitude (smaller variation from equilibrium), dropping to a zero amplitude along the y-direction. This configuration is called a dipole antenna. (To be technically correct a single wire with an oscillating charge is a monopole antenna. A dipole is created from two wires with opposite polarities, one in the x-direction the other in the -x-direction but in the present context we can ignore this subtlety.) Dipole antennas emit the strongest signal in a direction perpendicular to the antenna as Animation 2 shows (remember, the field is the same strength in both directions but the change in the field is zero in y-direction, largest along the x-axis). FM radio, AM radio, TV, cell phone, WiFi and short wave radio sending antennas are dipole or approximately dipole antennas.

26.4. Why are sending antennas usually oriented vertically? (Note: Short wave antennas are sometimes oriented horizontally so that the signal can bounce off the ionosphere and return to earth a large distance away.)

26.5. Try different oscillation speeds for Animation 2. If you were measuring the field on the x-axis, how would the frequency of the wave compare with the frequency of oscillation of the charge in the antenna?

26.6. Now try Animation 3. How would the amplitude of the wave at points along the x-axis compare with the amplitude of the wave along the y-axis for this case?



© 2015, Wolfgang Christian and Kyle Forinash.

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