1. (20 pts) An electric field in free space is described by

E(x,y,z,t) = cos(x+1/4+ky) [V/m], where k = √

a) Find the electric and magnetic field vectors in the phasor domain.

b) Find the complex power going through a surface S in the upward sense. The surface S is a

square that is 2 meters x 2 meters, and the face of the square is perpendicular to the vector

V = (x(1) + y(2)+²(3)).