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In the diagram, wire 1 has a current 210 coming out of the page, wire 2 has a current 310 going into the page, wire 3 also ha

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Answer #1

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

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