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Dipoles and Radiated power

  1. Sep 6, 2012 #1
    1. The problem statement, all variables and given/known data

    We have the setup shown in the figure (see this figure). It rotates with angular velocity ω counter clockwise. ¿Power radiated by the system? (Sorry if it's not the correct translation -- Potencia radiada in spanish).

    2. Relevant equations

    [itex]P_{rad}=\frac{μω^{4}p^{2}}{12πc}[/itex]

    3. The attempt at a solution

    The dipoles 1 and 2 can be written (module) as p=lq=√2q. Can be split in its x and y components:

    Dipole 1

    p_x = √2q cos (ωt + 45)
    p_y = √2q sin (ωt + 45)

    Dipole 2

    p_x = √2q cos (ωt - 45)
    p_y = √2q sin (ωt - 45)

    Dipole 3 (given)

    p_y = p sin (ωt + 90)

    Now, since they do not interfiere between them (orthogonal), we can write

    [itex]p^{2} = p^{2}_{x} + p^{2}_{y}[/itex]

    in the equation for P.

    Is this correct? Thanks!
     
    Last edited: Sep 6, 2012
  2. jcsd
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