Answer:
The magnetic field is 1.6 nT in z-direction
Step-by-step explanation:
Given;
Length of wire, L = 2.0-cm
Current in the wire, I = 20-A
point from the axis, r = 5.0 m
Strength of magnetic field can be calculated by applying Biot-Savart equation;

where;
μ is constant given as 4π x 10⁻⁷ T.m/A
Substitute the given values in the equation above and calculate strength of magnetic field.
Since current is moving in y-direction and magnetic field will be caculated from a point 5m in the x-direction, based on vector law, the resultant direction will be z.

Therefore, the magnetic field is 1.6 nT in z-direction