Use the photo below

1. Beginning V X E = _ B 5 - at show that V X (E + 94) = 0. 2. Noting that E = -VV - of show that V2V + - a(V.A) at . = =P. 3. Suppose V(r, t) = 0 and A(r, t) = , 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: 9 1 - v2 / c 2 R E(r, 1) = 4760 (1 - 02 sin2 0/C2) 3/2 R2. where R= r - vt 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 = 909) c. For what angle is the electric field greatest? least? 5. Equation 10.65 gives the electric field from a point charge: E(r, t) =- q ATEO ( 2 . 1) 3 [(c2 - v3)u + 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