A thin coil is located at the origin; its radius is $4$ cm and its axis lies on the $\backslash ($ x $\backslash )$ axis. It has $40$ low$-$resistance turns and is connected to a $75\backslash (\backslash$Omega $\backslash )$ resistor. A second thin coil is located at mathrm$\{$cm$\}\backslash )$ and is traveling toward the origin with a speed of $\backslash (9\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$; it has $60$ low$-$resistance turns, its axis lies on the $\backslash ($ x $\backslash )$ axis, its radius is $4$ cm $,$ and it has a current of $17$ A $,$ powered by a battery. What is the magnitude of the current in the first coil?

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