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Magnetism
21 Dec 2007 16:56:54 IST
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21 Dec 2007 19:59:39 IST
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As for the second Qn. see ( assuming that u know vector calculus)
curl E =- d/ dt ( B) ( partial diff)
If B is const. wrt time then curl E = 0 , which means possible soln of E may be central .
Again curl H = j ( unmodified ampere's law holding only for magnetostatics. )
Now u know that For H field to create statically , j must be non zero . Which means that a possible soln for H (and hence B) can't be a central one .
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22 Dec 2007 13:12:45 IST
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ok in simpler terms and most imp. where feynmann had left
a central which can be defined as something whose line integral around a closed loop is 0
the equivalent differential statement being vamsishing away of the curl of the function
but classically central forces originated from the fact that certain forces always tend to act towards a point.
for ex that by the sun on earth or earth on sun...
the always seem to originate froma point hence provide a fixxed angular momentum about that point
a even if u don't nderstand curl mathematically think about it intutively
the electric field lines say due to poit charge oriinate from it they don't 'curl' around it hemce have a non zero curl
But think of magnetic field lines they alway tend to curl but don't diverge from a point hence have their divergence 0
in integral form have 0 surface integral over any closed surface
a central which can be defined as something whose line integral around a closed loop is 0
the equivalent differential statement being vamsishing away of the curl of the function
but classically central forces originated from the fact that certain forces always tend to act towards a point.
for ex that by the sun on earth or earth on sun...
the always seem to originate froma point hence provide a fixxed angular momentum about that point
a even if u don't nderstand curl mathematically think about it intutively
the electric field lines say due to poit charge oriinate from it they don't 'curl' around it hemce have a non zero curl
But think of magnetic field lines they alway tend to curl but don't diverge from a point hence have their divergence 0
in integral form have 0 surface integral over any closed surface
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