An electron travels at a velocity of \(3.0 \times 10^{6} \mathrm{~m} / \mathrm{s}\) parallel to a sheet carrying a current to the right. When a uniform electric field of magnitude \(200 \mathrm{~V} / \mathrm{m}\) is applied, it travels at an angle of \(45^{\circ}\) to the current in the sheet, with no deflection. What is the magnitude of the current per unit width in the sheet?