The magnetic field of a plane electromagnetic wave propagating in a vacuum is given by: B_x = 3 10⁻⁸ (6 10^8 t - 2 y ) T Which of the following expressions represents the corresponding electric field? (Here subscripts denote the direction of the field component)

Step-by-step solution

The given magnetic field is B = 3 10⁻⁸ (6 10^8 t - 2 y ) i ; T . From the phase term (6 10^8 t - 2 y ) , the wave propagates in the +y direction. Thus, the direction of propagation is v = j . In an electromagnetic wave, the electric field E , magnetic field B , and the direction of propagation v are mutually perpendicular and satisfy the relation E B = v . Given B = i and v = j , we have: E i = j Since k i = j , the electric field must oscillate along the +z direction ( E = k ). The amplitude of the electric field