Question

1) Consider an electric charge q moving at non-relativistic velocities. Calculate the Poynting vector corresponding to the radiation term (the term that dominates at large distances away from the charge). Use your favorite graphing program to plot the angular distribution of the radiated power for the following cases: (50 points) a) When the particle moves in simple harmonic motion along the z-axis given by: z(t) = a cos(\omega_o t) (50 points) b) When the particle moves in uniform circular motion in the plane x-y in a circle of radius R at an angular frequency \omega_o. Note: For the plots above, assume specific numerical values for the physical constants involved in the calculations. Please state the assumed numerical values.

          1) Consider an electric charge q moving at non-relativistic velocities. Calculate the Poynting vector corresponding to the radiation term (the term that dominates at large distances away from the charge). Use your favorite graphing program to plot the angular distribution of the radiated power for the following cases:

(50 points)
a) When the particle moves in simple harmonic motion along the z-axis given by:

z(t) = a cos(\omega_o t)

(50 points)
b) When the particle moves in uniform circular motion in the plane x-y in a circle of radius R at an angular frequency \omega_o.

Note: For the plots above, assume specific numerical values for the physical constants involved in the calculations. Please state the assumed numerical values.

1) Consider an electric charge q moving at non-relativistic velocities. Calculate the Poynting vector corresponding to the radiation term (the term that dominates at large distances away from the charge). Use your favorite graphing program to plot the angular distribution of the radiated power for the following cases:

(50 points)
a) When the particle moves in simple harmonic motion along the z-axis given by:

z(t) = a cos(t)

(50 points)
b) When the particle moves in uniform circular motion in the plane x-y in a circle of radius R at an angular frequency .

Note: For the plots above, assume specific numerical values for the physical constants involved in the calculations. Please state the assumed numerical values.

Added by Laura B.

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