Problem 5. Let E(x, t) = Ey,o sin (27 (x - ct) ) j, B(x, t) = Bz,o sin (27 (x - ct) ) k (a) Use differential relations: OBz = _by, to show that Bz,0 = Ey,o/c (b) Show that Ey,o sin ("(x - ct)) j satisfies the one-dimensional wave equation: ~- 1 0' Ey (x,t) _ 2 Ey (x,t) at2 x 2 (c) draw an arrow for the vector direction of the electric and magnetic fields at t=0 for each of the ten points pictured. X Z X=0 214 212 32/4 Problem 5(c)