Draw an \(x y z\) coordinate system with the \(x\) axis pointing horizontally to the right, the \(y\) axis pointing up the page, and the \(z\) axis pointing out of the page. Show a current-carrying wire lying on the \(x\) axis, and a 2. 5-A current through the wire directed in the positive \(x\) direction.

(a) If the charge carriers are only electrons, how many of them pass through a cross-sectional area of the wire each second?

(b) In which direction are the electrons moving?

(c) If this wire is in a 0. 20-T external magnetic field directed into the page, what is the force magnitude per unit length exerted by the external field on the wire?

(d) On your diagram, show the direction of the magnetic field and the direction of the force exerted by the external field on the wire.