The magnetic force on a current-carrying wire due to a magnetic field is given by
[tex]F=ILB[/tex]
where
I is the current
L the wire length
B the magnetic field strength
In our problem, L=1.0 m, [tex]F=9.1 \cdot 10^{-5} N[/tex] and [tex]B=1.3 \cdot 10^{-4}T[/tex], so we can re-arrange the formula to find the current in the wire:
[tex]I= \frac{F}{LB}= \frac{9.1 \cdot 10^{-5} N}{(1.0 m)(1.3 \cdot 10^{-4} T)} =0.7 A [/tex]
