If the density and atomic mass of copper are respectively 8.80 x 103 kg/m³ and 63.5 kg/kmol (note that 1 kmol = 1,000 mol), and copper has one free electron per copper atom, determine the following. (a) the drift speed of the electrons in a 10 gauge copper wire (2.588 mm in diameter) carrying a 13.5 A current 1.988-4 See if you can obtain an expression for the drift speed of electrons in a copper wire in terms of the current in the wire, the diameter of the wire, the molecular weight and mass density of copper, Avogadro's number, and the charge on an electron. m/s (b) the Hall voltage if a 2.68 T field is applied perpendicular to the wire 3.34e-6 x Can you start with basic equations for the electric and magnetic forces acting on the electrons moving through the wire and obtain a relationship between the magnitude of the electric and magnetic field and the drift speed of the electrons? How is the magnitude of the electric field related to the Hall voltage and the diameter of the wire? V

(a) At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 7.85 x 100 m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.20 x 10-5 T? 4.27e3 m/s (b) What would the radius (in m) of the path be if the proton had the same speed as the electron? 0.685 x m (c) What would the radius (in m) be if the proton had the same kinetic energy as the electron? 0.0084 m (d) What would the radius (in m) be if the proton had the same momentum as the electron? 0.0303 x m

Two charges are placed on the x axis. One of the charges (91 = +6.63 μC) is at x₁ = +3.00 cm and the other (92 = -24.2 μC) is at x2 = +9.00 cm. Find the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00 cm.