At time t = 0, the vectors E and B are given by E = Eo and B = Bo, where the unit vectors Eo and Bo are fixed and orthogonal to each other. The equations of motion are %3D dỄ Eo + B × Èo, dt %3D dB Bo + Ē × Bo. dt Find E and B at a general time t, showing that after a long time the directions of E and B have almost interchanged.
At time t = 0, the vectors E and B are given by E = Eo and B = Bo, where the unit vectors Eo and Bo are fixed and orthogonal to each other. The equations of motion are %3D dỄ Eo + B × Èo, dt %3D dB Bo + Ē × Bo. dt Find E and B at a general time t, showing that after a long time the directions of E and B have almost interchanged.
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Transcribed Image Text:At time t = 0, the vectors E and B are given by E = Eo and B = Bo,
where the unit vectors Eo and Bo are fixed and orthogonal to each
other. The equations of motion are
%3D
Ēo + B × Ëg,
dt
dB
Bo + È × Bo-
dt
Find E and B at a general time t, showing that after a long time the
directions of É and B have almost interchanged.
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