Electricity and Magnetism · Problem 5.21

THE MAGNETIC FIELD — Edward Purcell & David Morin

Physics — E&M · half-of-the-flux

Problem

Half of the flux *** In the field of the moving charge QQ, given by Eq. (5.15), we want to find an angle δ\delta such that half of the total flux from QQ is contained between the two conical surfaces θ′=π/2+δ\theta' = \pi/2 + \delta and θ′=π/2−δ\theta' = \pi/2 - \delta. If you have done Exercise 5.20 you have already done most of the work. You should find that for γ≫1\gamma \gg 1, the angle between the two cones is on the order of 1/γ1/\gamma.

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