The magnitude is 4×10⁻⁵T and direction of the magnetic field at a point p is -z axis.
we know that magnetic field due to a long straight wire at a point perpendicular to it is given by
B=(μ°I)/2πR
μ°= 4π×10⁻⁷Hm⁻¹
R=2cm
I=4A
on substituting value we get
B=(4π×10⁻⁷×4)/2π×2×10⁻²
B=4×10⁻⁵T
the direction will be along negative Z axis, outside the plane
learn more about magnetic field due a long straight wire here:
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