Electricity and Magnetism · Problem 5.15

THE MAGNETIC FIELD — Edward Purcell & David Morin

Physics — E&M · gausss-law-for-a-moving-charge

Problem

Gauss's law for a moving charge ** Verify that Gauss's law holds for the electric field in Eq. (5.15). That is, verify that the flux of the field, through a sphere centered at the charge, is q/ϵ0q/\epsilon_0. Of course, we used this fact in deriving Eq. (5.15) in the first place, so we know that it must be true. But it can't hurt to double check. You'll want to use a computer or the integral table in Appendix K.

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