The Interaction of Two Sources
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Next, we consider what happens when two spherical currents are turned on simultaneously according to a clock located midway between them. We suppose that the spheres have identical radii, R, and current densities, J (given essentially by Eq. ( 2.1)), and that they are separated by the distance, 2a (where a > R). The simultaneity can be achieved by sending a signal from the midpoint of the line joining the spheres. When observers at the centers of the two spheres see this signal, they can set their clocks and send out their own signals to turn on the currents in their respective spheres. Thus, after an additional delay of R∕c, each current will suddenly turn on, sending waves both inward and outward from each sphere. In this way, each source would generate its own toroidal bubble, dipole field, and uniformly magnetized sphere.