An electromagnetic wave travels in free space along the x -direction. At a particular point in space and time, B = 2 10⁻⁷ j T is associated with this wave. The value of corresponding electric field E at this point is _______ V/m.

Step-by-step solution

The direction of propagation of an electromagnetic wave is given by the direction of E B . Given that the wave travels along the x -direction, the direction of propagation is i . The magnetic field is given as B = 2 10⁻⁷ j T, so its direction is j . Let the direction of the electric field be n . We must have: n j = i Since (- k ) j = i , the direction of the electric field is - k . The magnitude of the electric field is related to the magnetic field by E = cB , where c = 3 10^8 m/s is the speed of light in free spa