abhilash j pillai
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to Electrodynamicsandmagnetism
Suppose in case 1 ( where Q is at rest with respect to AB), there are
two observers M and N,
M is at rest with respect to AB/Q and N is moving along
with the conducting electrons in AB
And in case 2- here I am altering case 2 a little bit –
the potential applied to AB is reversed, such that the
conducting
electrons starts to move with a negative drift velocity (drift
velocity in case1 is taken as positive),
and the wire AB moves with a positive drift velocity and Q is
at
rest with respect to conducting electrons in AB
(please see case 2 in this way- at the very instant when a potential
was applied across AB, there is an infinitesimal increase in the
drift
velocity of electrons and at that very instant, the conductor also
starts to move in the opposite way with an infinitesimal (drift
velocity).
So essentially, the conducting electrons are perfectly at rest with
respect to Q.
So essentially conducting electrons in AB in case 1 are at rest with
respect to non conducting charges in AB in case 2.
Similarly , the non conducting charges in AB in case1) are at rest to
conducting electrons in AB.
And Here in case 2) too there are two observers O and P
O is at rest with respect to conducting electrons in AB /Q
and P is moving along with AB
so here essentially, M and O are in the same frame of
reference .Similarly N and P are in the same frame of reference.
Since observers in the same frame of reference should agree to an
incident in all respects and a similar incident should be explained
in
a similar way, whenever M observes a particular (or a combination of
electric and magnetic) field, O also should observe it. Similarly is
the case with N and P.
since current is the flow of charges , for the observer Q, the
current
in case 1) it is caused by the flow of electrons
in case 2) it is caused by the net flow of non conducting charges.
In case1) the magnetic field is caused by the flow of electrons
In case 2) the magnetic field is caused by the net flow of non
conducting charges –after all flow of charges should create a
magnetic
field
And finally there is no force in case 1 but there is a force in case
2.
Now how is this -case 1 and case 2 explained with respect to M&O or
N&P who are in the same frame of reference.
my article is an attempt to answer this question in the rest frame of
reference (M&O).