here,
the magnetic feild along x-direction , Bx = u0 * (2I0) /(2*pi*(2d)) - u0 * (3I0) /(2*pi*(d))
Bx = - u0 * I0 /(pi*d)
the magnetic feild along y-direction , By = u0 * (3I0) /(2*pi*(d)) - u0 * (4I0) /(2*pi*(2d))
By = 0.5 * u0 * I0 /(pi*d)
the magnitude of net magnetic feild at P , B = sqrt(Bx^2 + By^2)
B = u0 * I0 /(pi * d) * sqrt(0.5^2 + 1^2)
B = 1.12 * u0 * I0/(pi * d)
the direction of magnetic feild , theta = arctan(By /Bx)
theta = arctan(0.5 /(-1)) = 153.4 degree counterclockwise from +x axis
In the diagram, wire 1 has a current 210 coming out of the page, wire 2...
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