Please show all the work on how to get the answers

Acceleration due to gravity g = 9.8 2 Speed of light in vacuum c= 3.0 x 108 m Permitivity of free space 60 = = 8.84 x 10-12 C' N.m Permeability of free space Ho = 4 710-7 I'm A charge of one proton e = 1.6 x 10-19C Atomic Mass Unit (AMU) 1 AMU = 1.66 x 10-27kg Coulomb's constant kc = 9.0 x 109 N.m2 1. Three charges @1 = 2 MC, 02 = -3 JC, and Q3 = 1 MC are located at x1 = (2, 0, 0), x2 = (0, 1, 0), and x3 = (0, 0, -1) as shown in the figure. Find the electric field E at the origin. Give your answer in component notation. Q2 y (10) E X X 2. A capacitor is made from two parallel conducting plates each of area A = 12 cm separated by a distance d = 0.2 cm. The capacitor is connected to a battery with an EMF of 12V. Find @ the charge stored on the capacitor, and U the electrical energy stored in the capacitor. (5) Q. (5) U 3. A mass spectrometer is designed to select carbon nuclei with velocity v = 0.1 c. Carbon nuclei have charge Cc = 6 e and mass Mc = 12 AMU. What magnitude of the magnetic field B is required so that the exit point is separated from the entrance point by 6 cm. (15) [B| 4. The resistivity of Gold is 2.44 x 10-8 0.m. A conducting "wire" is made from a thin strip of the metal 0.05 mm thick and 1 mm wide. What is the resistance of a 30 cm long strip? (5) R_