Ampère's Law One of Maxwell's equations for electromagnetic waves is V x B = c² at where E is the electric field, B is the magnetic field, and C is a constant. a. Show that the fields E(z, t) = A sin (kz – et)i and B(z, t) = A sin (kz – wt ) j satisfy the equation for constants A, k, and w, provided w = k/C. b. Make a rough sketch showing the directions of E and B.

Ampère's Law One of Maxwell's equations for electromagnetic waves is V x B = c² at where E is the electric field, B is the magnetic field, and C is a constant. a. Show that the fields E(z, t) = A sin (kz – et)i and B(z, t) = A sin (kz – wt ) j satisfy the equation for constants A, k, and w, provided w = k/C. b. Make a rough sketch showing the directions of E and B.