Here, the current through both wired is assumed to be in same direction.
So, at the midpoint between the two wires, the magnetic field due to both the wires are in same direction.
Here,
I1 = 10 A
I2 = 20 A
d = 15 cm (Distance between both wires to the point are same)
= 0.15 m
Magnetic field due to a current carrying conductor at a point at a distance d,
B = 0I / 2πd
Here,
Magnetic field at the midpoint due to I1,
B1 = 1.33333 × 10-5 T
Magnetic field at the midpoint due to I2,
B2 = 2.66666 × 10-5 T
Net magnetic field at the midpoint,
B = 4 × 10-5 T
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