Ex. 11.3 we assumed the velocity and acceleration were (instantaneously, at least) collinear. Carry out the same

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Ex. 11.3 we assumed the velocity and acceleration were (instantaneously, at least) collinear. Carry out the same analysis for the case where they are perpendicular. Choose your axes so that v lies along the z axis and a along the x axis (Fig. 11.15), so that v = vz, a = ax, and π = sin θ cos Ф x + sin θ sin Ф y + cos θ z. Check that P is consistent with the Lidnard formula. For relativistic velocities (β ?? 1) the radiation is again sharply peaked in the forward direction (Fig. l 1.16). The most important application of these formulas is to circular motion--in this case the radiation is called synchrotron radiation. For a relativistic electron the radiation sweeps around like a locomotive's headlight as the particle moves.]

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