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Two oscillating dipoles are located in the x-y plane (on the y-axis) at y = a and y = -a. Their dipole moments are

 

Two oscillating dipoles are located in the x-y plane (on the y-axis) at y = a and y = -a. Their dipole moments are oriented in the direction. Assume that our observation point is located at a distance d >> a (far-field). Assume the dipole moments have equal amplitude a. Find the resultant electric field in the x-y plane. b. Assume the dipoles are a half-wavelength apart (a = 4a). Make a polar plot of E vs. if the two dipoles are in phase. c. Assume the dipoles are a half-wavelength apart (2 = 4a). Make a polar plot of E vs. if the two dipoles are 180 out of phase.

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