1. Beginning V X E = - " show that V x (E + 24) = 0. 2. Noting that E = -VV - "# show that V2v + a(0-4) at = =2. Eo 3. Suppose V(r, t) = 0 and A(r, t) = -f, find the following: a. E field. b. B field. C. P 4. In class we found that the Electric field for a moving charge at constant velocity was: 1 - v2/c2 R E(r, ) = Anco (1 - 12 sin2 0/c2) 3/2 R2. where R=r - vi a. Find the Electric field along the axis of motion (i.e when 0 = 0.) b. Find the Electric field perpendicular to the axis of motion (i.e when 0 = 90") For what angle is the electric field greatest? least? 5. Equation 10.65 gives the electric field from a point charge: E(r,) = Are (2. )3 (c' - v ju+zx (uxa)]. Where U= ch - V. a. Identify the radiation term in the equation. b. Suppose the velocity, the acceleration and the separation vector are all oriented along the x direction. How does the equation for the Electric field simplify? Explain