An electric field intensity vector in free space is given in rectangular coordinate system
by E=E_(m)sin\alpha xsin(\omega t-\beta z)a_(y). What is the form of the magnetic field intensity
vector that satisfies Faraday's law?
H=-(E_(m)\beta )/(\omega \mu _(0))sin(\alpha x)sin(\omega t-\beta z)a_(x)+(E_(m)\alpha )/(\omega \mu _(0))cos(\alpha x)cos(\omega t-\beta z)a_(z)
H=-(E_(m)\beta )/(\omega \mu _(0))cos(\alpha x)sin(\omega t-\beta z)a_(x)+(E_(m)\alpha )/(\omega \mu _(0))sin(\alpha x)cos(\omega t-\beta z)a_(z)
H=(E_(m)\beta )/(\omega \mu _(0))sin(\alpha x)sin(\omega t-\beta z)a_(x)-(E_(m)\alpha )/(\omega \mu _(0))cos(\alpha x)cos(\omega t-\beta z)a_(z)