A wire \(70.0 \mathrm{~mm}\) long is bent in a right angle such that the wire starts at the origin and goes in a straight line to \(x=30.0 \mathrm{~mm}, y=0\), and then in another straight line from \(x=30.0 \mathrm{~mm}, y=0\) to \(x=30.0 \mathrm{~mm}, y=\) \(40.0 \mathrm{~mm}\). The wire is in an external uniform \(0.500-\mathrm{T}\) magnetic field in the \(+z\) direction, and the current through the wire is \(4.10 \mathrm{~A}\), directed from the origin into the wire.

(a) Determine the magnitude and direction of the magnetic force exerted by the external field on the wire.

(b) This wire is removed and replaced by one that is \(50.0 \mathrm{~mm}\) long and runs directly from the origin to the location \(x=30.0 \mathrm{~mm}, y=40.0 \mathrm{~mm}\). If the current through this wire is also \(4.10 \mathrm{~A}\), what are the magnitude and direction of the magnetic force exerted by the external field on the wire?