A thin coil is located at the origin; its radius is $5$ cm and its axis lies on the $\backslash ($ x $\backslash )$ axis. It has $35$ low$-$resistance turns and is connected to a $80\backslash (\backslash$Omega $\backslash )$ resistor. A second thin coil is located at mathrm$\{$cm$\}\backslash )$ and is traveling toward the origin with a speed of $\backslash (8\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$; it has $55$ low$-$resistance turns, its axis lies on the $\backslash ($ x $\backslash )$ axis, its radius is $6$ cm $,$ and it has a current of $13$ A $,$ powered by a battery. What is the magnitude of the current in the first coil?