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From: "Carl E. Mungan"correlated
Solution #2 - adapted from a private email from Ben Crowell
Consider a charged particle located along the y-axis and suppose it
is moving radially toward the wire. If there is a B_z, then the
particle experiences a nonzero force in the azimuthal direction. But
this is impossible by symmetry, since the wire is symmetric with
respect to reflection across the yz-plane.
But there is a definable azimuthal direction - the direction of the wire's
actual B field (circles in a preferred direction around the wire,
to the current's direction along z).
The above symmetry argument would forbid these circular B lines - which
exist.
Bob Sciamanda (W3NLV)
Physics, Edinboro Univ of PA (em)
trebor@velocity.net
http://www.velocity.net/~trebor