Let point p lies between the wires at which net magnetic field is zero
magnetic field at a point P which is at a distance r from the first wire B_1 = μ_0 I / 2πr
magnetic field at a point P due to second wire which is at a distance 1-r from the second wire
B_2 =μ_0*6 I / 2π(1 -r)
From the given condition
B_1 = B_2
μ_0 I / 2πr =μ_0*6 I / 2π(1 -r)
solving for r we get
r = 1/7 m = 0.142 m
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