Two parallel long $($infinite for our purposes$)$ wires are oriented along the zxy I$\_(1)$ and I$\_(2),$ which you need to find from a single measurement of the magnetic field B$=$B$\_($x$)$i$+$B$\_($y$)$j at point A $,$ whose position in the plane is also indicated. We will treat

the currents algebraically: the current I is positive when it runs in the direction of the z$-$axis and negative when it runs in the opposite direction. In the right$-$hand system of coordinates, the z$-$axis is directed out

of the screen towards us$.$ The geometric parameters are known: a$=0\mathrm{.}54$cm$,$b$=0\mathrm{.}43$cm$.$

Given the measurement of the magnetic field: B$\_($x$)=-0\mathrm{.}96$G and B$\_($y$)=-0\mathrm{.}28$G$,$

what is the unknown current I$\_(1)?$:

I$\_(1)=$ A$.$

What is the unknown current I$\_(2)?$:

I$\_(2)=$ A$.$ CORRECT ANSWERS: I$1=2\mathrm{.}04,$ I$2=3\mathrm{.}28$