In a laboratory studying electromagnetic waves, a researcher observed a plane electromagnetic wave where the equation E_y = E₀ sin(kz − ωt) gives the electric field component. The researcher notes that the other electric field components are zero, meaning E_x = E_z = 0. He needs to determine two important characteristics of the wave:
(a) Based on the given electric field equation, in which direction is the wave propagating?
(b) What is the magnitude and orientation of the magnetic field B associated with this electromagnetic wave?

(a) The wave propagates in the positive z-direction. (b) The magnetic field B is oriented along the negative x-direction, and its magnitude is given by: B = E₀ / c

(a) The wave propagates in the positive z-direction. (b) The magnetic field B is oriented along the positive x-direction, and its magnitude is given by: B = (E₀ / c) sin(kz − ωt)

(a) The wave propagates in the positive x-direction. (b) The magnetic field B is oriented along the positive z-direction, and its magnitude is given by: B = (E₀ / c) sin(kz − ωt)

(a) The wave propagates in the negative x-direction. (b) The magnetic field B is oriented along the positive z-direction, and its magnitude is given by: B = E₀ / c