an electromagnetic wave is propagating towards the west in free space. at a certain moment the direction of the magnetic field vector associated with this wave points vertically upward. what is the direction of the electric field vector?



Answer :

The direction of the electric field vector is Horizontal and points south.

The electric field of an electromagnetic wave points in the positive y direction. At the same time, the magnetic field of this wave points in the positive z direction. For electromagnetic waves, the ratio of the electric field amplitude to the magnetic field amplitude is equal to the speed of the electromagnetic wave in free space.

For the dot product between two vectors to be zero, either of them is a zero vector or they are orthogonal to each other. Therefore, the electric and magnetic fields are perpendicular to each other. Also, for propagating EM waves, the E and B fields are always perpendicular in a homogeneous linear anisotropic medium. In electromagnetic waves, the electric and magnetic fields are perpendicular to each other and both are also perpendicular to the direction of wave propagation.

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