(Solved): Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spa ...

Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by x_o = 5.6 cm. Each sheet consists of an infinite array of wires with a density n = 19 wires/cm. Each wire in the left sheet carries a current I₁ = 2.5 A in the negative z-direction. Each wire in the right sheet carries a current I₂ = 3.2 A in the positive z-direction.

A) What is B_x(P), the x-component of the magnetic field at point P, located at (x,y) = (-2.8 cm, 0)?

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B) What is B_y(P), the y-component of the magnetic field at point P, located at (x,y) = (-2.8 cm, 0)?

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C) What is B_y(R), the y-component of the magnetic field at point R, located at (x,y) = (-8.4 cm, 0)?

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D) What is

where the integral is taken around the dotted path shown, from a to b to c to d to a. The path is a trapezoid with sides ab and cd having length 13.1 cm, side ad having length 6.1 cm, and side bc having length 9.6 cm. The height of the trapezoid is H = 13 cm.

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E) What is B_y(S), the y-component of the magnetic field at point S, located at (x,y) = (8.4 cm, 0)?

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F) What is

where the integral is taken along the dotted line shown, from a to b.

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