InterviewSolution
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InterviewSolution
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Using the betatron condition, demonstaratethat thestrengthof the eddy-currentfield has the extremum magnitude on anequiolibrium orbit. |
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Answer» SOLUTION :The INDUCED electric field (or eddy CURRENT field) is given by, `E(r) = (1)/(2pi r) (d)/(dt) int_(0)^(r) 2pi r' (r') B (r') dr'` Hence, `(dE)/(dr) = -(1)/(2pi r^(2)) (d)/(dt) int_(0)^(r) 2pi r' B (r') dr' + (dB (r))/(dt)` Thisvansihesfor `r = r_(0)` by thebetatron condiction, where `r_(0)` is the radiusof theeuqlibrium orbit. |
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