Find the electric field a distancefrom the center of a spherical surface, which carries a uniform charge density
. Treat the case
and
.
Ok, so I have a feeling that the electric field will only be in the
From here out I know how to do it:.
But the question is, how do you know when an electric field has more than one component? And what exactly is it (Griffiths does not really define it, and he says that relativity forces us to abandon the notion that it is an "ether"). Like I know inside the sphere, the electric field is(e.g.
). But what does this physically mean?
Argue by symetry: since system is symetric about z-axis, electric field must go along z-axis.
I think the field is proportional to the force exerted on a charge. (Exactly how proportional depends on units obv.)
Are you sure you can do that integral? Looks like hell to me.
Okay, if it turns out you can't, try question in cylindrical polar co-ordinates. Then go here http://www.mathhelpforum.com/math-he...ver-1-r-r.html and tell her how to do the question.
I have heard she is hot.
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