two long straight parellal conductor carry study current I1andI2 separated by distance d . if the current are flowing in opposite direction show that force between conductor is repulsive.hence define 1 ampere.
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Magnetic field due to wire a on b =
2πd
μ
0
I
a
Force on a current carrying wire placed in magnetic field=I(
l
×
B
)
Hence force on b is F
ba
=I
b
l
2πd
μ
0
I
a
The direction of force experienced by the wire 'a' is toward the wire 'b' as shown.
Similarly the direction of force experienced by the wire 'b' is toward the wire Thus, the force is attractive.
If two long wires are placed in vacuum at a separation of 1 m, one Ampere would be defined as the current in each wire that would produce a force of per unit length of wire.
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