(Solved): Two infinite sheets of current flow parallel to the yz plane as shown. The sheets are equally s ...

Two infinite sheets of current flow parallel to the $$y?z$$ plane as shown. The sheets are equally spaced from the origin by $$x_0=6.4\mathrm{cm}$$. Each sheet consists of an infinite array of wires with a density $$\mathrm{n}=19$$ wires $$/\mathrm{cm}$$. Each wire in the left sheet carries a current $$I_1=2\mathrm{A}$$ in the negative $$z$$ direction. Each wire in the right sheet carries a current $${\mathrm{I}}_2$$ $$=4.4\mathrm{A}$$ in the positive $$\mathrm{z}$$-direction. 1) What is $$B_x(P)$$, the $$x$$-component of the magnetic field at point $$P$$, located at $$(x,y)=(?3.2\mathrm{cm},0)$$ ? 2) What is $$B_y(P)$$, the $$y$$-component of the magnetic field at point $$P$$, located at $$(x,y)=(?3.2\mathrm{cm},0)$$ ? 3) What is $$B_y(R)$$, the $$y$$-component of the magnetic field at point $$R$$, located at $$(x,y)=(?9.6\mathrm{cm},0)$$ ? 4) What is $$?\vec{B}?d\vec{l}$$ where the integral is taken around the dotted path shown, from $$a$$ to $$b$$ to $$c$$ to $$d$$ to $$a$$. The path is a trapazoid with sides $$ab$$ and $$cd$$ having length $$9.9\mathrm{cm}$$, side $$ad$$ having length $$6.9\mathrm{cm}$$, and side $$bc$$ having length $$9.4\mathrm{cm}$$. The height of the trapezoid is $$\mathrm{H}=9.8\mathrm{cm}$$. T-m 5) What is $$B_y(S)$$, the $$y$$-component of the magnetic field at point $$S$$, located at $$(x,y)=(9.6\mathrm{cm},0)$$ ? 6) What is $${?}_a^b\vec{B}?d\vec{l}$$ where the integral is taken along the dotted line shown, from a to b.