Calculate the force per unit length between two parallel long straight wires 2 cm apart in air, each carrying a current of 4 A.
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Explanation:
Given: i
1
=i
2
=5A;d=2.5cm=0.025m;l=10cm=0.10m
The magnetic force per unit length between two long straight parallel current carrying wires, placed in vacuum, separated by a distance d, is given by:
F/l=
2πd
μ
0
.i
1
i
2
F=
2πd
μ
0
.i
1
i
2
l
Hence, F=
2π×0.025
4π×10
−7
×5×5×0.10
=2.0×10
−5
N
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